Last round betting
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Published:1997-12
Issue:4
Volume:34
Page:974-987
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ISSN:0021-9002
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Container-title:Journal of Applied Probability
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language:en
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Short-container-title:Journal of Applied Probability
Author:
S. Ferguson Thomas,Melolidakis C.
Abstract
Two players with differing amounts of money simultaneously choose an amount to bet on an even-money win-or-lose bet. The outcomes of the bets may be dependent and the player who has the larger amount of money after the outcomes are decided is the winner. This game is completely analyzed. In nearly all cases, the value exists and optimal strategies for the two players that give weight to a finite number of bets are explicitly exhibited. In a few situations, the value does not exist.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference18 articles.
1. On a game without a value;Sion;Ann. Math. Studies,1957
2. Gross O. (1950) The symmetric Blotto game. RAND Res. Memo. RM-408, 19 July.