Journal of the Operations Research Society of China ›› 2019, Vol. 7 ›› Issue (4): 643-654.doi: 10.1007/s40305-018-0236-0

Special Issue: Discrete optimization

Previous Articles    

Existence of Weakly Cooperative Equilibria for Infinite-Leader-Infinite-Follower Games

Zhe Yang1,2, Qing-Bin Gong1   

  1. 1 School of Economics, Shanghai University of Finance and Economics, Shanghai 200433, China;
    2 SUFE Key Laboratory of Mathematical Economics, Ministry of Education, Shanghai 200433, China
  • Received:2018-03-30 Revised:2018-08-07 Online:2019-11-30 Published:2019-11-28
  • Contact: Zhe Yang, Qing-Bin Gong E-mail:zheyang211@163.com;gqb_345@126.com
  • Supported by:
    This research was supported by the National Natural Science Foundation of China (No. 11501349) and Graduate Innovation Foundation sponsored by Shanghai University of Finance and Economics (No. CXJJ-2017-375).

Abstract: In this paper, we first generalize Yang and Ju's (J Glob Optim 65:563-573, 2016) result in Hausdorff topological vector spaces. Second, we introduce the model of leader-follower games with infinitely many leaders and followers, that is, infiniteleader-infinite-follower game. We next introduce the notion of weakly cooperative equilibria for infinite-leader-infinite-follower games and prove the existence result.

Key words: (Weakly) cooperative equilibrium, Infinite-leader-infinite-follower game, Existence

CLC Number: