主从群体博弈合作均衡的通有稳定性

Abstract

Abstract:

In this paper, we study the existence and generic stability of cooperative equilibria in leader-follower population games with a leader and multiple population followers. Firstly, a cooperative equilibrium of leader-follower population games is defined in consideration of cooperative behavior among population followers. Secondly, we prove the existence of cooperative equilibria, and an example is illustrated that cooperative equilibria exist and are different from the classical Nash equilibria. Finally, using Fort's theorem, we prove that in the sense of Baire category most cooperative equilibria of leader-follower population games are of generic stability under perturbations of payoff functions.

Key words: Leader-follower population games, Cooperative equilibria, Existence, Generic stability

CLC Number:

O225

Wu Wenjun,Yang Guanghui,Fang Caiya,Yang Hui. Generic Stability of Cooperative Equilibria for Leader-Follower Population Games[J].Acta mathematica scientia,Series A, 2023, 43(3): 921-929.

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Generic Stability of Cooperative Equilibria for Leader-Follower Population Games

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