Optimal strategies for equal-sum dice games

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چکیده

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Optimal strategies for equal-sum dice games

In this paper we consider a non-cooperative two-person zero-sum matrix game, called dice game. In an (n, σ) dice game, two players can independently choose a dice from a collection of hypothetical dice having n faces and with a total of σ eyes distributed over these faces. They independently roll their dice and the player showing the highest number of eyes wins (in case of a tie, none of the pl...

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Nontransitive Dice With Equal Means∗

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2006

ISSN: 0166-218X

DOI: 10.1016/j.dam.2006.04.024