Evolution of Equilibria in the Long Run: A General Theory and Applications
将Kandori等人的演化过程推广到n×n博弈,证明即使存在多个静态均衡,长期均衡也会唯一出现,并给出计算算法,应用于纯协调博弈和战略互补博弈。
We extend the evolutionary process studied in Kandori et al., Econometrica 61 (1933), 29-56 to n × n games. The evolutionary process is driven by two forces: players switching to the best response against the present strategy configuration, and players experimenting with new strategies. We show that a unique behavior pattern, called the long-run equilibrium, arises even if the underlying game has multiple (static) equilibria. The paper gives a general algorithm for computing the LRE, and then applies it to two classes of economic games. For games of pure coordination, the LRE is the Pareto-efficient equilibrium. For games with strategic complementarities, the geometry of the best-response correspondence helps identify the LRE. Journal of Economic Literature Classification Numbers: C63, C72, D43.