Characterizations of perfect recall

Carlos Alós-Ferrer and Klaus Ritzberger

International Journal of Game Theory, 2017, vol. 46, issue 2, No 2, 326 pages

Abstract: Abstract This paper considers the condition of perfect recall for the class of arbitrarily large discrete extensive form games. The known definitions of perfect recall are shown to be equivalent even beyond finite games. Further, a qualitatively new characterization in terms of choices is obtained. In particular, an extensive form game satisfies perfect recall if and only if the set of choices, viewed as sets of ultimate outcomes, fulfill the “Trivial Intersection” property, that is, any two choices with nonempty intersection are ordered by set inclusion.

Keywords: Perfect recall; Large extensive form games; Non-cooperative games (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00182-016-0534-x

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