The normal distribution and repeated games

J. F. Mertens*, S. Zamir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

For a reperated zero-sum two-person game with incomplete information discussed by Zamir, it is proved here that {Mathematical expression} where φ (p) is the normal density function evaluated at its p-quantile (i.e. {Mathematical expression} where {Mathematical expression}. Here for 0≤p≤1, (p, 1 -p) is the a priori probability distribution on two states of nature, the actual state of nature is known to the maximizer but not to the minimizer. vn(p) is the minimax value of the game with n stages.

Original languageEnglish
Pages (from-to)187-197
Number of pages11
JournalInternational Journal of Game Theory
Volume5
Issue number4
DOIs
StatePublished - Dec 1976

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