论文标题：Characterization of Nash equilibria of large games

　　发表时间：2019

　　论文所有作者：Haifeng Fu, Bin Wu

　　期刊名及所属分类：Journal of Mathematical Economics(国际B)

　　英文摘要：For a large game with traits, this paper characterizes its trait–action distributions in equilibrium by using an inequality under the following two sets of conditions: (i) both trait space and action space of the game contain at most countably many elements; (ii) the agent space is nowhere equivalent to the characteristic type space. Two examples are presented to show the failure of the characterization result when the conditions are not satisfied. Then, we also show the existence of the characterization inequality and the necessity of the two sets of conditions to the characterization results. Finally, the existence of Nash equilibria under the two sets of conditions comes naturally as a corollary.

　　中文摘要：对于具有特征的大型博弈，在以下两组条件下，利用不等式刻画了其均衡状态下的特征-行为分布:(1)博弈的特征空间和行为空间都包含最多可数的多个元素;(ii)代理空间与特征类型空间并不对等。给出了两个不满足条件时表征结果失效的实例。然后，我们还证明了刻画不等式的存在性以及刻画结果的两组条件的必要性。最后，Nash均衡在两组条件下的存在是一个自然的推论。