Universität zu Köln

Alos-Ferrer, Carlos and Ritzberger, Klaus (2017). Characterizations of perfect recall. Int. J. Game Theory, 46 (2). S. 311 - 327. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1270

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Alos-Ferrer, Carlos UNSPECIFIED UNSPECIFIED UNSPECIFIED Ritzberger, Klaus UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-233255
DOI:	10.1007/s00182-016-0534-x
Journal or Publication Title:	Int. J. Game Theory
Volume:	46
Number:	2
Page Range:	S. 311 - 327
Date:	2017
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1432-1270
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language EXTENSIVE FORM GAMES; IMPERFECT RECALL; EXISTENCE Multiple languages Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods; Statistics & Probability Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23325