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Behavioral Equivalence of Extensive Game Structures

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  • Pierpaolo Battigalli
  • Paolo Leonetti
  • Fabio Maccheroni

Abstract

Two extensive game structures with imperfect information are said to be behaviorally equivalent if they share the same map (up to relabelings) from profiles of structurally reduced strategies to induced terminal paths. We show that this is the case if and only if one can be transformed into the other through a composition of two elementary transformations, commonly known as \textquotedblleft Interchanging of Simultaneous Moves\textquotedblright\ and \textquotedblleft Coalescing Moves/Sequential Agent Splitting.\textquotedblright

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  • Pierpaolo Battigalli & Paolo Leonetti & Fabio Maccheroni, 2019. "Behavioral Equivalence of Extensive Game Structures," Papers 1911.02918, arXiv.org.
    • Handle: RePEc:arx:papers:1911.02918
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    Cited by:

    1. Carlos Alós-Ferrer & Klaus Ritzberger, 2020. "Reduced normal forms are not extensive forms," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 281-288, October.
    2. Pierpaolo Battigalli & Nicolò Generoso, 2021. "Information Flows and Memory in Games," Working Papers 678, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

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    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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