Games With Discontinuous Payoffs: A Strengthening of Reny's Existence Theorem
提出了一个纯纳什均衡存在定理，其假设条件在多个方面弱于Reny（1999）的定理，证明更简洁，并用于证明一类有限博弈和类似Schelling居住隔离模型的稳定配置存在性。
We provide a pure Nash equilibrium existence theorem for games with discontinuous payoffs whose hypotheses are in a number of ways weaker than those of the theorem of Reny (1999). In comparison with Reny's argument, our proof is brief. Our result subsumes a prior existence result of Reny (1999) that is not covered by his theorem. We use the main result to prove the existence of pure Nash equilibrium in a class of finite games in which agents' pure strategies are subsets of a given set, and in turn use this to prove the existence of stable configurations for games, similar to those used by Schelling (1971, 1972) to study residential segregation, in which agents choose locations.