The nonatomic supermodular game

• 成果类型: Article
• 署名作者: Yang, Jian; Qi, Xiangtong
• 署名单位: Rutgers University System; Rutgers University New Brunswick; Hong Kong University of Science & Technology
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2013.09.005
• 发表日期: 2013
• 页码: 609-620
• 关键词: Nonatomic game; supermodular game; Strong set order; Stochastic dominance order; Complete lattice

摘要

We introduce the nonatomic supermodular game, where no player's action has any discernible impact on other players' payoffs and yet strategic complementarities prevail among all players' types and actions. For both semi-anonymous and anonymous games, we show that monotone equilibria form nonempty complete lattices and among these equilibria, the largest and smallest members vary in monotone fashions with respect to certain game-changing parameters. Results here complement existing nonatomic-game works, which focused more on pure equilibria of anonymous games where opponents' types are not influential. They are also applicable to price competition involving diverse cost/quality parameters, as well as a slew of other situations. (C) 2013 Elsevier Inc. All rights reserved.