A Note on the Equilibrium Existence Problem in Discontinuous Games
证明了一个适用于不连续收益且策略空间为凸紧集的新均衡存在定理，推广了Reny（1999）及McLennan等人（2011）的结果，条件简单易验证，并能涵盖空间选址模型中的经济上有意义的收益不连续性。
In this note, we prove an equilibrium existence theorem for games with discontinuous payoffs and convex and compact strategy spaces. It generalizes the classical result of Reny (1999), as well as the recent paper of McLennan, Monteiro, and Tourky (2011). Our conditions are simple and easy to verify. Importantly, examples of spatial location models show that our conditions allow for economically meaningful payoff discontinuities, that are not covered by other conditions in the literature.