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Paper Citation Record · LEDGER

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics

As of 7 August 2026, this Paper Citation Record lists 87 of 87 outbound references and 1 inbound Pith citation observation for arXiv:2606.29967.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.29967 v1

Coverage vector

measured 87 of 87 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T03:56:08.162823Z

measured 88 of 88 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T06:49:12.960982Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

87 of 87 outbound references displayed

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External citation measurements

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Outbound references

Observation 45636094-de03-4b17-a215-694891a889b4 · outbound

This paper cites Evolutionary dynamics on any population structure.Nature, 544(7649):227–230, 2017.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Evolutionary dynamics on any population structure.Nature, 544(7649):227–230, 2017

Reference 1

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Observation 0835e172-683d-45c4-aefd-74e3f4daa187 · outbound

This paper cites an unresolved cited work.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Unresolved cited work

Reference 2

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:4408d891ba39f17a11655c6f236d27f59d6683a121f736e5720a6419c1ea9ab4

Observation f9528a18-57d5-489d-b0f9-717a30c91599 · outbound

This paper cites Learning in matrix games can be arbitrarily complex.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Learning in matrix games can be arbitrarily complex

Reference 3

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Observation 646488dd-5fba-4fb5-9604-808976ef5dd8 · outbound

This paper cites The multiplicative weights update method: a meta-algorithm and applications.Theory of computing, 8(1):121–164, 2012.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics The multiplicative weights update method: a meta-algorithm and applications.Theory of computing, 8(1):121–164, 2012

Reference 4

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:e92b3a60d0333c6efc7114f1f0a6ed0284aeaaba80a1c805e44eaa2f4677e277

Observation a6ab0718-bf93-4954-a1f9-e209c0565257 · outbound

This paper cites Finite regret and cycles with fixed step-size via alternating gradient descent-ascent.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Finite regret and cycles with fixed step-size via alternating gradient descent-ascent

Reference 5

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:a42e5e0cb0fa21595a8ffa473ad3cdcadc70b8a659d1d131ffadbfbd0c4edbdd

Observation 8fddd9f8-f8ba-4380-96d7-1b569b4ca7ea · outbound

This paper cites Multiplicative weights update in zero-sum games.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Multiplicative weights update in zero-sum games

Reference 6

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Observation 3448cea4-5dd2-4064-be95-420f21d796f3 · outbound

This paper cites Multi-agent learning in network zero-sum games is a hamiltonian system.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Multi-agent learning in network zero-sum games is a hamiltonian system

Reference 7

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Observation 50dec8cf-82e4-4b26-b54a-8df67b4f6e01 · outbound

This paper cites Follow-the-regularized-leader routes to chaos in routing games.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Follow-the-regularized-leader routes to chaos in routing games

Reference 8

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:9e808221db0e548a3b174f1a9d04ab3ace834f35d0435dd4496a728cbef09823

Observation d249cf55-8e76-4ff5-9380-bbcca114601c · outbound

This paper cites Memory loss can prevent chaos in games dynamics.Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(1), 2024.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Memory loss can prevent chaos in games dynamics.Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(1), 2024

Reference 9

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Observation c16a6bbe-6fa1-41ad-acd2-01594945f17e · outbound

This paper cites Het- erogeneity, reinforcement learning, and chaos in population games.Proceedings of the National Academy of Sciences, 122(25):e2319929121, 2025.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Het- erogeneity, reinforcement learning, and chaos in population games.Proceedings of the National Academy of Sciences, 122(25):e2319929121, 2025

Reference 10

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:073967af188fe46286b65b056dcb8a188e80e18a91505412a037be1d52d6e540

Observation 396a1d19-158f-45cb-b011-3c3c5ae724f9 · outbound

This paper cites On the influence of memory on complex dynamics of evolutionary oligopoly models.Nonlinear Dynamics, 102(2):1097–1110, 2020.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics On the influence of memory on complex dynamics of evolutionary oligopoly models.Nonlinear Dynamics, 102(2):1097–1110, 2020

Reference 11

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Observation 170655da-4147-41c8-813c-b6bd3c7f091d · outbound

This paper cites From Darwin to Poincaré and von Neumann: Recurrence and cycles in evolutionary and algorithmic game theory.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics From Darwin to Poincaré and von Neumann: Recurrence and cycles in evolutionary and algorithmic game theory

Reference 12

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:459047dcf406788bba65bd8eb27bf5c120bb29a16b568762883c400012c36db6

Observation dca9d619-40ad-423e-99ff-a51c511438ce · outbound

This paper cites Learning through reinforcement and replicator dynamics.Journal of economic theory, 77(1):1–14, 1997.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Learning through reinforcement and replicator dynamics.Journal of economic theory, 77(1):1–14, 1997

Reference 13

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:9d2707570753112314efa0b67e7b282609f6a25ef3888cea72850970b2401e05

Observation 230a0edc-b99f-4656-b7e7-9180c7f5537b · outbound

This paper cites Experience-weighted attraction learning in normal form games.Econometrica, 67(4):827–874, 1999.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Experience-weighted attraction learning in normal form games.Econometrica, 67(4):827–874, 1999

Reference 14

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:569ad88f4ca6be68e432dbcf9139399615745b52c138ccf7f069bca820266484

Observation 4112f54b-9884-4bad-89b1-790e93b5e8da · outbound

This paper cites Behavioral economics.Econometric Society Monographs, 42:181, 2006.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Behavioral economics.Econometric Society Monographs, 42:181, 2006

Reference 15

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Observation 82cce6bb-6d5f-4d8c-a57b-563a8b5aaa88 · outbound

This paper cites Effect of chaotic agent dynamics on coevolution of cooperation and synchronization.Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(11), 2020.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Effect of chaotic agent dynamics on coevolution of cooperation and synchronization.Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(11), 2020

Reference 16

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Observation c2f751bd-47dd-45ef-bce8-8ef8e5e8c586 · outbound

This paper cites Learning in Markets: Greed Leads to Chaos but Following the Price is Right.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Learning in Markets: Greed Leads to Chaos but Following the Price is Right

Reference 17

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Observation b0d7d63d-4874-49ba-a2a7-c0f756c6a3ec · outbound

This paper cites Vortices instead of equilibria in minmax optimization: Chaos and butterfly effects of online learning in zero-sum games.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Vortices instead of equilibria in minmax optimization: Chaos and butterfly effects of online learning in zero-sum games

Reference 18

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Observation 52bfd860-3497-4a2a-a09a-f34f0365d293 · outbound

This paper cites Chaos, extremism and optimism: Volume analysis of learning in games.Advances in Neural Information Processing Systems, 33:9039–9049, 2020.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Chaos, extremism and optimism: Volume analysis of learning in games.Advances in Neural Information Processing Systems, 33:9039–9049, 2020

Reference 19

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Observation 06f0d111-f93d-447c-b3d0-8bbbd7ec1046 · outbound

This paper cites The route to chaos in routing games: When is price of anarchy too optimistic?Advances in Neural Information Processing Systems, 33:766–777, 2020.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics The route to chaos in routing games: When is price of anarchy too optimistic?Advances in Neural Information Processing Systems, 33:766–777, 2020

Reference 20

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Observation b6e2f906-58a8-48ea-b462-513d77cd6dc2 · outbound

This paper cites Family of chaotic maps from game theory.Dynamical Systems, 36(1):48–63, 2021.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Family of chaotic maps from game theory.Dynamical Systems, 36(1):48–63, 2021

Reference 21

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Observation a793a9b1-5cb8-4bfd-a7c7-49176f3e0e5a · outbound

This paper cites DynamicalSystems.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics DynamicalSystems

Reference 22

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Observation 6e88fa67-d8da-4cef-8d99-9f2433ab57e8 · outbound

This paper cites Basin entropy: a new tool to analyze uncertainty in dynamical systems.Scientific reports, 6(1):31416, 2016.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Basin entropy: a new tool to analyze uncertainty in dynamical systems.Scientific reports, 6(1):31416, 2016

Reference 23

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Observation 9730e584-22e2-4f96-917b-ade5d9a948ed · outbound

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Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Unresolved cited work

Reference 24

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Observation dc3695b0-c183-4c16-9a16-fe74fe88c6a5 · outbound

This paper cites Dhooge, W.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Dhooge, W

Reference 25

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:50eef164623fb3b44c3e938ab5046bd6b7f1a077c79ef9a3c4b555bd218cd248

Observation 6026e159-6db6-4575-ae8f-9f1a477a90a7 · outbound

This paper cites Evolutionary dynamics of cooperation in optional public goods games with loners’ punishment.Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(3), 2025.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Evolutionary dynamics of cooperation in optional public goods games with loners’ punishment.Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(3), 2025

Reference 26

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Observation a931cb2c-d90a-43ab-8613-c5f6394dd3b8 · outbound

This paper cites A stochastic variant of replicator dynamics in zero-sum games and its invariant measures.Physica D: Nonlinear Phenomena, 456:133940, 2023.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics A stochastic variant of replicator dynamics in zero-sum games and its invariant measures.Physica D: Nonlinear Phenomena, 456:133940, 2023

Reference 27

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Observation 78072ae7-0440-454e-b41e-0fda28026c0a · outbound

This paper cites Punishment in bipartite societies.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Punishment in bipartite societies

Reference 28

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Observation 1eec9e4d-1670-4a42-bc25-71801874794b · outbound

This paper cites Adaptive game playing using multiplicative weights.Games and Economic Behavior, 29(1-2):79–103, 1999.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Adaptive game playing using multiplicative weights.Games and Economic Behavior, 29(1-2):79–103, 1999

Reference 29

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Observation e5fbfb44-beae-40c4-ae7e-610ac3511caa · outbound

This paper cites MIT press, 1998.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics MIT press, 1998

Reference 30

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Observation ac9a5f06-b855-4f0b-9aa8-f98af2ad5b7f · outbound

This paper cites Evolutionary game dynamics in finite populations with strong selection and weak mutation.Theoretical population biology, 70(3):352–363, 2006.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Evolutionary game dynamics in finite populations with strong selection and weak mutation.Theoretical population biology, 70(3):352–363, 2006

Reference 31

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Observation 2b9ca8ba-3951-4c29-a7a4-814dcf3eb346 · outbound

This paper cites Complex dynamics in learning complicated games.Proceedings of the National Academy of Sciences, 110(4):1232–1236, 2013.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Complex dynamics in learning complicated games.Proceedings of the National Academy of Sciences, 110(4):1232–1236, 2013

Reference 32

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Observation 363335b7-c787-4dff-80cb-887848d685ff · outbound

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Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Unresolved cited work

Reference 33

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:192b6d6aa4a28b17c248aa21c524a38fe0fef260061b5341f4c829b47b265b09

Observation a34d120f-da6f-4e74-a682-80db12f918ad · outbound

This paper cites The replicator dynamics of zero-sum games arise from a novel poisson algebra.Chaos, Solitons & Fractals, 153:111508, 2021.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics The replicator dynamics of zero-sum games arise from a novel poisson algebra.Chaos, Solitons & Fractals, 153:111508, 2021

Reference 34

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:391f6fc522ea4277136c9d9d083fe240e95e473ba28da57a3429bdd47a4be7f0

Observation 0c410fdd-9349-48ce-9728-6b4e48a44e08 · outbound

This paper cites A finite population destroys a traveling wave in spatial replicator dynamics.Chaos, Solitons & Fractals, 146:110847, 2021.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics A finite population destroys a traveling wave in spatial replicator dynamics.Chaos, Solitons & Fractals, 146:110847, 2021

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:836ab3a511b9574af5dc8632e7735a4028d6350ed9a7cbb84fbd010335a86f50

Observation cbb6a29b-f895-434a-8654-edcd36c623ee · outbound

This paper cites Learning in nonatomic games, Part I: Finite action spaces and population games.Journal of Dynamics and Games, 9(4):433–460, 2022.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Learning in nonatomic games, Part I: Finite action spaces and population games.Journal of Dynamics and Games, 9(4):433–460, 2022

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:0bd67712c6c984e1c29fc4af99b9504c2cfaa628d0dfcf90fe790d0524a54eae

Observation 333bf21e-fc8d-44dc-a7b8-50b06140e980 · outbound

This paper cites Integrating static and dynamic game theory with complex networks: Enhancing strategy dynamics through adaptive update rules.Chaos, Solitons & Fractals, 192:116063, 2025.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Integrating static and dynamic game theory with complex networks: Enhancing strategy dynamics through adaptive update rules.Chaos, Solitons & Fractals, 192:116063, 2025

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:c5ddc7f6a1ba0c97469fd07fd1216e6a002897b727a3eff8224b411aedcf2deb

Observation a05f8bfa-5d4d-46c4-ab8e-84f8afbfb3ef · outbound

This paper cites The description–experience gap in risky choice.Trends in cognitive sciences, 13(12):517–523, 2009.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics The description–experience gap in risky choice.Trends in cognitive sciences, 13(12):517–523, 2009

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:35331d45ad2a3eae3cb42555467270f1fc748900f2f73698c4c934ff39ae4037

Observation 51464072-24d9-457a-9a84-8ea6bcfa016a · outbound

This paper cites Cambridge university press, 1998.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Cambridge university press, 1998

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:5a744fd2862396a3a9f8b30e3b7e2300a93ef91bc390d49e7414b25266fbb825

Observation 64c62b29-ccc7-41ad-950a-3d5c164f14e8 · outbound

This paper cites Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:8accb3afd4a8aed285f9632e9121a75656ad3b3c9c48cd6afdbdb712f90d6264

Observation 1de939ac-8b01-4782-8da0-67bd5c6e2556 · outbound

This paper cites Prospect theory: An analysis of decision under risk.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Prospect theory: An analysis of decision under risk

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:287418effbb24ffc2221c1d62dfab32ec7301bdb4de8bd00ff7114b8395e6049

Observation b20c3215-2b11-4237-b88a-ce0d21c54750 · outbound

This paper cites Simple and complex adjustment dynamics in cournot duopoly models.Chaos, Solitons & Fractals, 7(12):2031–2048, 1996.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Simple and complex adjustment dynamics in cournot duopoly models.Chaos, Solitons & Fractals, 7(12):2031–2048, 1996

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:60e4f8a0b5b807cd250b95efd5015be21576edd834d40797aa6bbdd598e1290c

Observation 1c0762e0-5cd9-4c5f-9580-6f775b16eac9 · outbound

This paper cites On the convergence of no-regret learning in selfish routing.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics On the convergence of no-regret learning in selfish routing

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:c05fc6d22dce7deb30f21a37d4d31cb5d33dabb4d75b45ecc86851cc57b231a9

Observation 9c31a608-4899-4ebb-a2e7-4541719767ac · outbound

This paper cites Turbulent coherent structures and early life below the kolmogorov scale.Nature communications, 11(1):2192, 2020.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Turbulent coherent structures and early life below the kolmogorov scale.Nature communications, 11(1):2192, 2020

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:63bf0611129f159f1f7f479d5abd37518f7b2984eb6e911ab2a5deccf1a17273

Observation 9088bc9d-64c9-4dfc-a0f5-3d88b6e17c71 · outbound

This paper cites an unresolved cited work.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Unresolved cited work

Reference 45

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:564adbdea5c73843d7bba860b238ce1a2e3f167ccac4ebb35dcfcdaf2341ad32

Observation e9002346-42c9-4e71-9a49-75a93820b377 · outbound

This paper cites Noise-induced stochastic nash equilibrium in evolutionary game dynamics.Chaos, Solitons & Fractals, 192:115970, 2025.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Noise-induced stochastic nash equilibrium in evolutionary game dynamics.Chaos, Solitons & Fractals, 192:115970, 2025

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:b74ef46b877d5ebb7b3e4fc68ff7ec6e3c3b4b72aff1f5cd4aa10adbba1f5d99

Observation 3cd2d60b-5dc4-479e-96e2-a001229aa861 · outbound

This paper cites Replicator dynamics of public goods game with tax-based punishment.Chaos, Solitons & Fractals, 164:112747, 2022.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Replicator dynamics of public goods game with tax-based punishment.Chaos, Solitons & Fractals, 164:112747, 2022

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:8faca544d86999bd6d93db3f49b7094cb8f3b533f306db6c6931a06a3d2fe7af

Observation 10f3931d-d8ef-4e90-8c8b-db28e7e6337b · outbound

This paper cites Springer Science & Business Media, 1992.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Springer Science & Business Media, 1992

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:7b6c5933653d713238e5365991760d4c07a73ac6c650fb8eb9823f16e4dd08cf

Observation 974c3c49-6e80-4500-889c-5d32da2b5e7c · outbound

This paper cites Memory and target payoff enhance cooperation in evolutionary social dilemmas.Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(8), 2024.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Memory and target payoff enhance cooperation in evolutionary social dilemmas.Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(8), 2024

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:541b0b521baf2ce6920fe215f10489067a3013a94d68db53d3a174d2b7b228df

Observation 99011a58-b704-4323-852d-b260fd2c7b14 · outbound

This paper cites Evolutionary dynamics of cooperation in the public goods game with pool exclusion strategies.Nonlinear Dynamics, 97(1):749–766, 2019.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Evolutionary dynamics of cooperation in the public goods game with pool exclusion strategies.Nonlinear Dynamics, 97(1):749–766, 2019

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Observation 652ba9b1-9810-4a98-a7da-818508e7dd68 · outbound

This paper cites Matouk, A.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Matouk, A

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:5cf4d4618b41ac719fcd33389e3ed04a7bfb08a02b43a736d61956583f054e5d

Observation 3b728021-2761-4293-9900-28c3fbf3aa90 · outbound

This paper cites Cycles in adversarial regularized learning.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Cycles in adversarial regularized learning

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:d47763d766307610b4c71ec5df325659cef1617116c9a8f7444e4bcc2ac0922d

Observation 2e881245-aca1-4616-a18c-82aa9e521157 · outbound

This paper cites Evolutionary multi-agent reinforcement learning in group social dilemmas.Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(2), 2025.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Evolutionary multi-agent reinforcement learning in group social dilemmas.Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(2), 2025

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Observation baf0279e-6429-499c-ae0e-b78477862b3a · outbound

This paper cites Potential games.Games and economic behavior, 14(1):124–143, 1996.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Potential games.Games and economic behavior, 14(1):124–143, 1996

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:b7ae675b731b8a0663568418056283752c004c72b0631ee966f1f50a7a263f22

Observation 02cae583-5c8d-4d7b-b730-282639912b99 · outbound

This paper cites Deciphering chaos in evolutionary games.Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(12), 2020.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Deciphering chaos in evolutionary games.Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(12), 2020

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:21b28042e0737caaddc3dc8417416ba44562ee891119332a6f1306f2cfc16389

Observation 4606e0ff-de16-4d6c-9ff3-d2d98079b0be · outbound

This paper cites Chaos and the evolution of cooperation.Proceedings of the National Academy of Sciences, 90(11):5091–5094, 1993.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Chaos and the evolution of cooperation.Proceedings of the National Academy of Sciences, 90(11):5091–5094, 1993

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Observation 207fb086-c934-4d7e-8cc4-282100c8836d · outbound

This paper cites Cambridge University Press, 2 edition, 2002.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Cambridge University Press, 2 edition, 2002

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:7bcee8a656a160f4af8d79fa6ccb87c251b99f9e72a67ca953c64673cc0b9b08

Observation a96d63a8-15aa-441f-bedd-fb1e5f7a0966 · outbound

This paper cites Multiplicative weights update with constant step-size in congestion games: Convergence, limit cycles and chaos.Advances in Neural Information Processing Systems, 30, 2017.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Multiplicative weights update with constant step-size in congestion games: Convergence, limit cycles and chaos.Advances in Neural Information Processing Systems, 30, 2017

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Observation 4661ccdf-c07a-458d-b618-0f2920b73fa0 · outbound

This paper cites Weight of fitness deviation governs strict physical chaos in replicator dynamics.Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(3), 2018.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Weight of fitness deviation governs strict physical chaos in replicator dynamics.Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(3), 2018

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Observation 1144136d-ad45-43de-b8d5-d3eba60b6e12 · outbound

This paper cites Towards a taxonomy of learning dynamics in 2×2 games.Games and Economic Behavior, 132:1–21, 2022.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Towards a taxonomy of learning dynamics in 2×2 games.Games and Economic Behavior, 132:1–21, 2022

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Observation 109e1a96-ab8c-43a4-8a06-ca74ee37646f · outbound

This paper cites Spiral organization of quasi-periodic shrimp-shaped domains in a discrete predator–prey system.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Spiral organization of quasi-periodic shrimp-shaped domains in a discrete predator–prey system

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Observation f9417982-8f8b-4e77-ab0f-dbfffcd1f6ca · outbound

This paper cites Underweighting of rare events in strategic games.Experimental Economics, pages 1–27, 2025.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Underweighting of rare events in strategic games.Experimental Economics, pages 1–27, 2025

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Observation 98c0febb-9915-43b1-aa56-06db26ce843a · outbound

This paper cites Learning in settings with partial feedback and the wavy recency effect of rare events.Cognitive Psychology, 93:18–43, 2017.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Learning in settings with partial feedback and the wavy recency effect of rare events.Cognitive Psychology, 93:18–43, 2017

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Observation b02b3d97-6f10-47a1-865d-0a8c9fed806d · outbound

This paper cites The probability weighting function.Econometrica, pages 497–527, 1998.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics The probability weighting function.Econometrica, pages 497–527, 1998

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:3fd929a8d49e707e12f63954008d9128400cc7aee12dbb155999a9991f2f6527

Observation 6ebc4c50-04c5-4378-a0c5-157677ad65be · outbound

This paper cites Chaos in duopoly pricing.Chaos, Solitons & Fractals, 1(6):573–581, 1991.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Chaos in duopoly pricing.Chaos, Solitons & Fractals, 1(6):573–581, 1991

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Observation 679d7210-1a6f-47d1-9f1a-5ab846a14eed · outbound

This paper cites an unresolved cited work.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Unresolved cited work

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:5c840906bf7d13d1a9c3fd409e550951555858fa03cdb335e1ec02c4d1d35eec

Observation 21629b17-5334-4a0a-b147-0a4a955d1793 · outbound

This paper cites A class of games possessing pure-strategy nash equilibria.International journal of game theory, 2(1):65–67, 1973.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics A class of games possessing pure-strategy nash equilibria.International journal of game theory, 2(1):65–67, 1973

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:58d11240258753d4cb2435f7505f1b85889f9464a1acdf4f8c578cc7b84abbeb

Observation 50c3cc9e-2845-4814-87f4-71a50d36c3df · outbound

This paper cites The prevalence of chaotic dynamics in games with many players.Scientific reports, 8(1):4902, 2018.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics The prevalence of chaotic dynamics in games with many players.Scientific reports, 8(1):4902, 2018

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Observation ee5a22f2-e588-4645-94a4-8ed4bcabb947 · outbound

This paper cites MIT press, 2010.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics MIT press, 2010

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Observation f9772958-c50d-4e8c-bbd4-dac83d96cd1d · outbound

This paper cites Stability and diversity in collective adaptation.Physica D: Nonlinear Phenomena, 210(1-2):21–57, 2005.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Stability and diversity in collective adaptation.Physica D: Nonlinear Phenomena, 210(1-2):21–57, 2005

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:0b83126f64de1186048e244f7c9c93e47d902677a81023cff4581db00957c415

Observation 0c0e9793-9505-4a6b-8a11-1f425e18a5b7 · outbound

This paper cites Chaos in learning a simple two-person game.Proceedings of the National Academy of Sciences, 99(7):4748–4751, 2002.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Chaos in learning a simple two-person game.Proceedings of the National Academy of Sciences, 99(7):4748–4751, 2002

Reference 71

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no resolver link, observed 2026-06-30T03:56:08.162823Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:1709ee692dd31299b510147a3e24f19f2cf95789b83f4dad56ce364cc4021562

Observation b541aff8-a5ad-452d-86dc-cd8c3a7dafb3 · outbound

This paper cites Coupled replicator equations for the dynamics of learning in multiagent systems.Physical Review E, 67(1):015206, 2003.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Coupled replicator equations for the dynamics of learning in multiagent systems.Physical Review E, 67(1):015206, 2003

Reference 72

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no resolver link, observed 2026-06-30T03:56:08.162823Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:f04e7c0c575d31a149fb2c9d2851c6e9973616d04198fb9fb62451ac03892595

Observation a6616565-5449-4fd5-a9ac-8cc438af8730 · outbound

This paper cites Fictitious play in 3×3 games: The transition between periodic and chaotic behaviour.Games and Economic Behavior, 63(1):259–291, 2008.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Fictitious play in 3×3 games: The transition between periodic and chaotic behaviour.Games and Economic Behavior, 63(1):259–291, 2008

Reference 73

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no resolver link, observed 2026-06-30T03:56:08.162823Z

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:c1c99ea75ee10d2eaff2927a9a066e407dfe23e47732e1ee8078ef5b26b910b4

Observation d7272da0-19b8-4222-a291-60941d5c25b6 · outbound

This paper cites Attractors and basins of cascading networked evolutionary game under generalized asynchronous update.Chaos, Solitons & Fractals, 200:117002, 2025.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Attractors and basins of cascading networked evolutionary game under generalized asynchronous update.Chaos, Solitons & Fractals, 200:117002, 2025

Reference 74

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no resolver link, observed 2026-06-30T03:56:08.162823Z

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:939495e79e6348b5c975ea52d9a5c10d0d0f7b60ad5fd00dac2d816dff309d46

Observation 10836d3d-394c-46b5-89fb-875513688b5d · outbound

This paper cites an unresolved cited work.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Unresolved cited work

Reference 75

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no resolver link, observed 2026-06-30T03:56:08.162823Z

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:8b9a8a51ea945c5631ad04e4b423e3d6413f308209286bf4d1ecf785911dd8a8

Observation 18f1982f-c0c5-4714-8a2c-929f6a93833a · outbound

This paper cites Heterogeneous triopoly game with isoelastic demand function.Nonlinear Dynamics, 68:187–193, 2012.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Heterogeneous triopoly game with isoelastic demand function.Nonlinear Dynamics, 68:187–193, 2012

Reference 76

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no resolver link, observed 2026-06-30T03:56:08.162823Z

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:7f951d719ab5fedd905e4547e7f78a0d4f619aa838b413d4b846ad9a9f216415

Observation 16a4d9df-86b4-4a0d-a8ce-9afcd51d1791 · outbound

This paper cites Advances in prospect theory: Cumulative representation of uncertainty.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Advances in prospect theory: Cumulative representation of uncertainty

Reference 77

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no resolver link, observed 2026-06-30T03:56:08.162823Z

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:67a9298749e1ddcf8fa750232b496934c78cb8a0fa6fb15a79204332e8242d41

Observation fdbeb717-7c46-4dd2-b411-12400c1e451a · outbound

This paper cites Fictitious play in 3×3 games: Chaos and dithering behaviour.Games and Economic Behavior, 73(1):262–286, 2011.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Fictitious play in 3×3 games: Chaos and dithering behaviour.Games and Economic Behavior, 73(1):262–286, 2011

Reference 78

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unresolved
no resolver link, observed 2026-06-30T03:56:08.162823Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:1120487717529264ff3de67722883fa385f76aa75ddf66374682999d44cf7818

Observation 679ba525-5d24-4edc-8afe-da6763e005f7 · outbound

This paper cites Chaos and unpredictability in evolutionary dynamics in discrete time.Physical review letters, 107(3):038101, 2011.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Chaos and unpredictability in evolutionary dynamics in discrete time.Physical review letters, 107(3):038101, 2011

Reference 79

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no resolver link, observed 2026-06-30T03:56:08.162823Z

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:892c2bcdad1af21d70c6a220af99e50ba4d28745b39d366d320e8a70bca084b9

Observation a01015b7-f74e-4c31-9d3a-c1441a2fe556 · outbound

This paper cites Chaos persists in large-scale multi-agent learning despite adaptive learning rates.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Chaos persists in large-scale multi-agent learning despite adaptive learning rates

Reference 80

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verified exact
arxiv_id, observed 2026-07-01T15:15:48.121873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:89d0c318919b69b06aa6ee86438eb9713d7ad99be6fcc55e5244893c8daf418c

Observation 66e85640-e012-445d-8653-59effd52bfaf · outbound

This paper cites Evolutionary stability in an eco-evolutionary game dynamics with density dependence.Chaos, Solitons & Fractals, 168:113141, 2023.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Evolutionary stability in an eco-evolutionary game dynamics with density dependence.Chaos, Solitons & Fractals, 168:113141, 2023

Reference 81

Resolution
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no resolver link, observed 2026-06-30T03:56:08.162823Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:0496ab3b40a02380d5db94e6b4846e0aa1f18310b2b719d593baf0231ab44c5b

Observation 40667a7e-aa99-471a-87a9-ab5291968c7b · outbound

This paper cites Stability, period and chaos of the evolutionary game strategy induced by time-delay and mutation feedback.Chaos, Solitons & Fractals, 181:114698, 2024.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Stability, period and chaos of the evolutionary game strategy induced by time-delay and mutation feedback.Chaos, Solitons & Fractals, 181:114698, 2024

Reference 82

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no resolver link, observed 2026-06-30T03:56:08.162823Z

Source-reported events for the cited work

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:478a3eaee3bc0d5970e3b5f8047bc8089f5e6312ffa2225cef7630e8dbd834e9

Observation 05bd921b-026c-4786-857c-05a2f7f3179d · outbound

This paper cites an unresolved cited work.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Unresolved cited work

Reference 83

Resolution
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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:030efe81a498e72eb0bb963220fa5dc581b8d07b3e40e5f0d29ea8aad883b62e

Observation c6ee99c8-b328-49ba-8c78-5d8eb971692c · outbound

This paper cites Oscillation and burst transition of human cooperation.Nonlinear Dynamics, 108(4):4599–4610, 2022.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Oscillation and burst transition of human cooperation.Nonlinear Dynamics, 108(4):4599–4610, 2022

Reference 84

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:a71b1b67ef2445fa5c46128af309ef8b3df8a378b9db21498df1f0fa25179eb9

Observation 6df141b6-324a-4135-89ff-75db83ae9500 · outbound

This paper cites An escort replicator dynamic with a continuous action space and its application to resource management.Chaos, Solitons & Fractals, 185:114985, 2024.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics An escort replicator dynamic with a continuous action space and its application to resource management.Chaos, Solitons & Fractals, 185:114985, 2024

Reference 85

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no resolver link, observed 2026-06-30T03:56:08.162823Z

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:190a543ed51eaa73fa53e8a92e5a8f749411093d3d702ce350c1abf9dfd3db2f

Observation 6fbfd58d-3ee2-4a03-b27f-5d53ee65e5b5 · outbound

This paper cites Chaos and unpredictability in evolution of cooperation in continuous time.Physical Review E, 96(6):062310, 2017.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Chaos and unpredictability in evolution of cooperation in continuous time.Physical Review E, 96(6):062310, 2017

Reference 86

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no resolver link, observed 2026-06-30T03:56:08.162823Z

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:f27534c68a955fa6889ba5b3f135b4c7373416bae183ac42bc771eef6e6c72d5

Observation 0c8ce9fc-9c0b-43d6-945e-ecf99d0bb571 · outbound

This paper cites Replicator dynamics of division of labor games with delayed payoffs in infinite populations.Chaos, Solitons & Fractals, 158:112058, 2022.

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics Replicator dynamics of division of labor games with delayed payoffs in infinite populations.Chaos, Solitons & Fractals, 158:112058, 2022

Reference 87

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source=pdf_text observed=2026-06-30T03:56:08.162823Z digest=sha256:9bb007d36187ba1de6bd1e053af113761f653392ffcbda488ec849c4ca6fc255

Pith citing papers

Observation 3648693d-219b-400e-a577-2c8103c6fccb · inbound

Natural Invariant Measures for Chaotic Game Dynamics: Finding Order in Chaos cites this paper.

Natural Invariant Measures for Chaotic Game Dynamics: Finding Order in Chaos Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics

Reference 37

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no resolver link, observed 2026-08-01T06:49:12.960982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T06:49:12.960982Z digest=sha256:625f51ca362c349d2e3f5d289c48c26dd76bd87d1978bbd891fda4634fcfeccc