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A simple three-person poker game

Author: John F Nash; Lloyd S Shapley; H F Bohnenblust
Publisher: Princeton, N.J. : Princeton University Press, 1950.
Series: Contributions to the theory of games, Vol. I; edited by H.F. Bohnenblust ... et al.; Annals of mathematics studies, no. 24.
Edition/Format:   Print book : English
Database:WorldCat
Summary:
"A three person zero-sum poker game is considered, in which one card is dealt to each player. The deck contains only two kinds of cards, high and low, and the eight possible deals are equally likely. There is an ante #? and a fixed size of bet #? If any player bets, the other two have an opportunity to call. No raises are permitted. Equilibrium points are obtained for all possible values of #? for #a \leq b #? there  Read more...
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Document Type: Book
All Authors / Contributors: John F Nash; Lloyd S Shapley; H F Bohnenblust
OCLC Number: 57144178
Description: pages 105-116 : illustrations ; 25 cm.
Series Title: Contributions to the theory of games, Vol. I; edited by H.F. Bohnenblust ... et al.; Annals of mathematics studies, no. 24.
Responsibility: J.F. Nash [and] L.S. Shapley.

Abstract:

"A three person zero-sum poker game is considered, in which one card is dealt to each player. The deck contains only two kinds of cards, high and low, and the eight possible deals are equally likely. There is an ante #? and a fixed size of bet #? If any player bets, the other two have an opportunity to call. No raises are permitted. Equilibrium points are obtained for all possible values of #? for #a \leq b #? there is a unique equilibrium point; for #a #? the situation is more complicated. The method of solution is sketched."

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