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Behavioral equivalence of extensive game structures

Pierpaolo Battigalli (), Paolo Leonetti and Fabio Maccheroni

Games and Economic Behavior, 2020, vol. 121, issue C, 533-547

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 “Interchanging of Simultaneous Moves” and “Coalescing Moves/Sequential Agent Splitting.”

Keywords: Extensive game structure; Behavioral equivalence; Invariant transformations (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2020
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Working Paper: Behavioral Equivalence of Extensive Game Structures (2019) Downloads
Working Paper: Behavioral Equivalence of Extensive Game Structures (2019) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:121:y:2020:i:c:p:533-547

DOI: 10.1016/j.geb.2019.11.009

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