Behavior strategies, mixed strategies and perfect recall

Mamoru Kaneko, J. Jude Kline

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

When perfect recall is not satisfied, the informational contents of mixed and behavior strategies differ and are more than what the information partition describes. First, we consider two kinds of additional information strategies may carry, and show that such information leads to the perfect recall refinement of a given information partition. This does not, however, imply that the strategies compensate fully for the lack of perfect recall. We give a necessary and sufficient condition on an information partition, called A-loss, for the informational content of mixed strategies to fully compensate for the lack of perfect recall. The informational content of behavior strategies never fully compensates.

Original languageEnglish
Pages (from-to)127-145
Number of pages19
JournalInternational Journal of Game Theory
Volume24
Issue number2
DOIs
Publication statusPublished - 1995 Jun
Externally publishedYes

Fingerprint

Mixed Strategy
Partition
lack
Refinement
Strategy
Mixed strategy
Imply
Necessary Conditions
Sufficient Conditions
Informational content

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Statistics and Probability
  • Mathematics (miscellaneous)
  • Economics and Econometrics

Cite this

Behavior strategies, mixed strategies and perfect recall. / Kaneko, Mamoru; Kline, J. Jude.

In: International Journal of Game Theory, Vol. 24, No. 2, 06.1995, p. 127-145.

Research output: Contribution to journalArticle

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