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Even if a game has pure strategy Nash equilibria, it might be that none of those pure strategies are ESS. Consider the Game of chicken.  There are two pure strategy Nash equilibria in this game (Swerve, Stay) and (Stay, Swerve). However, in the absence of an uncorrelated asymmetry, neither Swerve nor Stay are ESSes. There is a third Nash equilibrium, a mixed strategy which is an ESS for this game (see Hawk-dove game and Best response for explanation).

Even if a game has pure strategy Nash equilibria, it might be that none of those pure strategies are ESS. Consider the Game of chicken.  There are two pure strategy Nash equilibria in this game (Swerve, Stay) and (Stay, Swerve). However, in the absence of an uncorrelated asymmetry, neither Swerve nor Stay are ESSes. There is a third Nash equilibrium, a mixed strategy which is an ESS for this game (see Hawk-dove game and Best response for explanation).

还有一些游戏即使具有纯粹的纳什均衡策略，但可能它们都不是进化均衡策略。比如游戏'''<font color="#ff8000"> 《小鸡博弈The Game of Chicken》</font>''',该游戏中有两种纯粹的纳什均衡策略（转身离开Swerve，留下Stay）和（留下Stay，转身离开Swerve）。但是，在无关联不对称Uncorrelated Asymmetry缺失的情况下，Swerve和Stay都不是进化均衡策略。此时存在第三种纳什均衡，它属于混合策略并且是该游戏的进化均衡策略（详情请参见'''<font color="#ff8000"> 《鹰鸽博弈Hawk-dove》</font>'''游戏和'''<font color="#ff8000"> 《最佳响应Best Response》</font>'''以获得解释）。

还有一些游戏即使具有纯粹的纳什均衡策略，但可能它们都不是进化均衡策略。比如游戏'''<font color="#ff8000"> 《小鸡博弈The Game of Chicken》</font>''',该游戏中有两种纯粹的纳什均衡策略（转身离开Swerve，留下Stay）和（留下Stay，转身离开Swerve）。但是，在无关联不对称Uncorrelated Asymmetry缺失的情况下，Swerve和Stay都不是进化均衡策略。此时存在第三种纳什均衡，它属于混合策略并且是该游戏的进化均衡策略（详情请参见'''<font color="#ff8000"> 《鹰鸽博弈Hawk-dove》</font>'''游戏和'''<font color="#ff8000"> 《最佳响应Best Response》</font>'''）。