Introduces the (m,n)_q-game on affine spaces F_q^m and proves existence of a finite threshold T(n,q) separating draw and first-player-win regimes, with explicit bounds including T(n,2) ≤ 2^{n+1}.
Osborne and Ariel Rubinstein.A Course in Game Theory
2 Pith papers cite this work. Polarity classification is still indexing.
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A folk theorem for LLMs proves that all feasible and individually rational outcomes can be sustained as ε-equilibria in repeated games where LLMs advise client populations, despite indirect observation.
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Thresholds for Tic-Tac-Toe on Finite Affine Spaces
Introduces the (m,n)_q-game on affine spaces F_q^m and proves existence of a finite threshold T(n,q) separating draw and first-player-win regimes, with explicit bounds including T(n,2) ≤ 2^{n+1}.
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Sustaining Cooperation in Populations Guided by AI: A Folk Theorem for LLMs
A folk theorem for LLMs proves that all feasible and individually rational outcomes can be sustained as ε-equilibria in repeated games where LLMs advise client populations, despite indirect observation.