论文标题
$ 2 \ times 2 $零和游戏的NASH平衡的某些属性
Some Properties of the Nash Equilibrium in $2 \times 2$ Zero-Sum Games
论文作者
论文摘要
在本报告中，审查了Nash Equilibria集合（NES）的某些属性$ 2 \ times 2 $零和游戏。特别是，根据收益矩阵的条目给出了NES集的基础性。此外，NE策略的封闭式表达方式和NE的回报（游戏的价值）是根据回报矩阵的条目提供的。本报告中介绍的结果不一定是新知识，因为它们遵循了一些乏味的计算后NE的定义。然而，这种综合表现在文献中是原始的。
In this report, some properties of the set of Nash equilibria (NEs) of $2 \times 2$ zero-sum games are reviewed. In particular, the cardinality of the set of NEs is given in terms of the entries of the payoff matrix. Moreover, closed-form expressions for the NE strategies and the payoff at the NE (the value of the game) are provided in terms of the entries of the payoff matrix. The results presented in this report are not necessarily new knowledge, as they follow from the definition of the NE after some tedious calculations. Nevertheless this synthetic presentation is original in the literature.
