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July, 1973 On the Notion of Value for Games with Infinitely Many Stages
Shmuel Zamir
Ann. Statist. 1(4): 791-796 (July, 1973). DOI: 10.1214/aos/1176342477

Abstract

The value of a zero-sum two-person game with infinite number of stages can be defined either directly or as the limit of the values $v_n$ of the truncated games with $n$ stages. It is shown that these two concepts are not equivalent. There are games in which $\lim v_n$ exists but which do not have values as infinite stage games.

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Shmuel Zamir. "On the Notion of Value for Games with Infinitely Many Stages." Ann. Statist. 1 (4) 791 - 796, July, 1973. https://doi.org/10.1214/aos/1176342477

Information

Published: July, 1973
First available in Project Euclid: 12 April 2007

zbMATH: 0265.90069
MathSciNet: MR337343
Digital Object Identifier: 10.1214/aos/1176342477

Rights: Copyright © 1973 Institute of Mathematical Statistics

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Vol.1 • No. 4 • July, 1973
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