On the existence of approximate equilibria and sharing rule solutions in discontinuous games
研究了不连续支付函数经济模型中近似均衡和共享规则解的存在条件，证明了许多相关类型拍卖游戏存在近似均衡，以及许多不连续偏好竞争模型存在共享规则解。
This paper studies the existence of some known equilibrium solution concepts in a large class of economic models with discontinuous payoff functions. The issue is well understood for Nash equilibria, thanks to Reny's better-reply security condition, and its recent improvements. We propose new approaches, related to Reny's work, and obtain tight conditions for the existence of an approximate equilibrium and of a sharing rule solution in pure and mixed strategies (Simon and Zame). As byproducts, we prove that many auction games with correlated types admit an approximate equilibrium, and that many competition models with discontinuous preferences have a sharing rule solution.