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

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  • 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 date: 2018-03-30

  Revised date: 2018-08-07

  Online published: 2019-11-28

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.

Cite this article

Zhe Yang, Qing-Bin Gong . Existence of Weakly Cooperative Equilibria for Infinite-Leader-Infinite-Follower Games[J]. Journal of the Operations Research Society of China, 2019 , 7(4) : 643 -654 . DOI: 10.1007/s40305-018-0236-0

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