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Equilibrium Refinements for Multi-Agent Influence Diagrams: Theory and Practice

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arxiv 2102.05008 v1 pith:5QJCAVC4 submitted 2021-02-09 cs.MA cs.AIcs.GT

Lewis Hammond , James Fox , Tom Everitt , Alessandro Abate , Michael Wooldridge This is my paper
classification cs.MAcs.AIcs.GT
keywords maidsdiagramsequilibriumforminfluencemulti-agentperfectrefinements
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Multi-agent influence diagrams (MAIDs) are a popular form of graphical model that, for certain classes of games, have been shown to offer key complexity and explainability advantages over traditional extensive form game (EFG) representations. In this paper, we extend previous work on MAIDs by introducing the concept of a MAID subgame, as well as subgame perfect and trembling hand perfect equilibrium refinements. We then prove several equivalence results between MAIDs and EFGs. Finally, we describe an open source implementation for reasoning about MAIDs and computing their equilibria.

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Cited by 1 Pith paper

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  1. Goal-Directedness is in the Eye of the Beholder

    cs.MA 2025-08 reject novelty 5.0 of 10

    Goal-directedness cannot be measured objectively; existing behavioral and mechanistic measures only reveal a fit between the chosen formal model and the agent, so research should shift to multi-agent simulation.

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