Binary action games: Deviation properties, semi-strict equilibria and potentials,
Binary action games: Deviation properties, semi-strict equilibria and potentials,
复制标题
二元动作游戏：偏差性质、半严格平衡和势、
DOI：
10.1016/j.dam.2018.06.005
复制
发表时间：
2018
影响因子：
1.1
通讯作者：
Pierre von Mouche and Takahiro Watanabe
中科院分区：
文献类型：
--
作者：
Takuya Iimura;Pierre von Mouche and Takahiro Watanabe
对于二元行动游戏，我们提出了三个属性，它们的共同点是它们是由边际收益的条件定义的。前两个属性保证了一种特殊类型的纳什均衡称为半严格纳什均衡的存在，我们也展示了一个算法来定位。第三种方法保证了正合势的存在性，并在一类正合势对策中实现了上述两个性质。第一个保证了广义序势的存在性。每个对称二元行动博弈都具有这三个性质。三个应用程序的结果说明。
For binary action games we present three properties which have in common that they are defined by conditions on marginal payoffs. The first two properties guarantee the existence of a special type of Nash equilibrium called semi-strict Nash equilibrium, for which we also show an algorithm to locate. The third one guarantees the existence of an exact potential, and can realize the aforementioned two properties in a class of exact potential games. The first one guarantees the existence of a generalized ordinal potential. Each symmetric binary action game possesses all the three properties. The results are illustrated by three applications.