On Modulo 2 Game

Chizhong Zhou ()
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Chizhong Zhou: Yueyang Normal University, Computer and Information Department

A chapter in ICM Millennium Lectures on Games, 2003, pp 127-138 from Springer

Abstract: Summary In this paper we deal with a type of extended combinatorial game,the modulo 2 game. In such a game a tie position may appear. We introduce a system of logical functions to display the properties of the game. Necessary and sufficient conditions for the existence of a winning strategy for the first player or second player are determined. Algorithms for implementing the optimal strategy and its complexity are then presented.

Keywords: modulo 2 game; combinatorial game; extensive game; winning strategy; algorithmic game (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-05219-8_7

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DOI: 10.1007/978-3-662-05219-8_7

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