A qualitative theory of large games with strategic complementarities
研究了具有战略互补性的大博弈中均衡的存在性与计算,利用一阶随机占优偏序下的单调算子证明了最大和最小分布纳什均衡的存在,并提供了可计算的单调分布均衡比较静态分析。
We study the existence and computation of equilibrium in large games with strategic complementarities. Using monotone operators defined on the space of distributions partially ordered with respect to the first-order stochastic dominance, we prove existence of a greatest and least distributional Nash equilibrium. In particular, we obtain our results under a different set of conditions than those in the existing literature. Moreover, we provide computable monotone distributional equilibrium comparative statics with respect to the parameters of the game. Finally, we apply our results to models of social distance, large stopping games, keeping up with the Joneses, as well as a general class of linear non-atomic games.