A note on differential games with Pareto-optimal nash equilibria: Deterministic and stochastic models

被引：3

作者：

Fonseca-Morales, Alejandra ^{[1
]}

Hernández-Lerma, Onésimo ^{[1
]}

机构：

[1] Mathematics Department, CINVESTAV-IPN, A. Postal 14-740, México City,07000, Mexico

来源：

Journal of Dynamics and Games | 2017年 / 4卷 / 03期

关键词：

Stochastic systems - Pareto principle - Game theory - Computation theory;

D O I：

10.3934/jdg.2017012

中图分类号：

学科分类号：

摘要：

Pareto optimality and Nash equilibrium are two standard solution concepts for cooperative and non-cooperative games, respectively. At the out- set, these concepts are incompatible-see, for instance, [7] or [10]. But, on the other hand, there are particular games in which Nash equilibria turn out to be Pareto-optimal [1], [4], [6], [18], [20]. A class of these games has been identified in the context of discrete-time potential games [13]. In this paper we introduce several classes of deterministic and stochastic potential differential games [12] in which open-loop Nash equilibria are also Pareto optimal. © 2017, American Institute of Mathematical Sciences.

引用

页码：195 / 203