a-Wythoff游戏的限制

2012 Fifth International Joint Conference on Computational Sciences and Optimization Pub Date : 2012-06-23 DOI:10.1109/CSO.2012.97

Wen An Liu, Haiyan Li, Bei Li

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引用次数: 1

摘要

A.S. Fraenkel引入了一种新的a-Wythoff对策，它是对Wythoff对策的推广。在正常的游戏规则下，Fraenkel决定了a-Wythoff游戏的所有p位。本文引入了两个新的限制版本的a-Wythoff博弈，奇偶维thoff博弈和奇偶维thoff博弈。这两款新游戏都进行了调查。给出了其在正常玩法规则下的所有p位，并给出了相应的获胜策略。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Restrictions of a-Wythoff's Game

A.S. Fraenkel introduces a new a-Wythoff's game which is the generalization of Wythoff's game. Fraenkel determines all P-positions of a-Wythoff's game under normal play convention. In this paper, we introduce two new restricted versions of a-Wythoff's game, Odd-Even Wythoff's Game and Odd-Even a-Wythoff's Game. Both new games are investigated. All its P-positions under normal play convention are given, and the corresponding wining strategies are also presented.

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2012 Fifth International Joint Conference on Computational Sciences and Optimization

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