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.”

Behavioral equivalence of extensive game structures

Pierpaolo Battigalli;Paolo Leonetti;Fabio Maccheroni
2020

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.”
2019
Battigalli, Pierpaolo; Leonetti, Paolo; Maccheroni, FABIO ANGELO
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11565/4023133
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 1
social impact