Stochastic Graphon Games: I. The Static Case

• 成果类型: Article
• 署名作者: Carmona, Rene; Cooney, Daniel B.; Graves, Christy, V; Lauriere, Mathieu
• 署名单位: Princeton University; University of Pennsylvania
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.2021.1148
• 发表日期: 2022
• 页码: 750-778
• 关键词: mean-field games

摘要

We consider static finite-player network games and their continuum analogs graphon games. Existence and uniqueness results are provided as well as convergence of the finite-player network game optimal strategy profiles to their analogs for the graphon games. We also show that equilibrium strategy profiles of a graphon game provide approximate Nash equilibria for the finite-player games. Connections with mean field games are discussed. A motivating application of Cournot competition is presented, and explicit computation of its Nash equilibrium is provided.