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Existence and generic stability of cooperative equilibria for multi-leader-multi-follower games

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Abstract

In this paper, we first introduce the notion of cooperative equilibria in multi-leader-multi-follower games, and then establish an existence theorem. Next, we shift out attention to the generic stability of these cooperative equilibria. After studying the class of games satisfying the sufficient conditions of the existence theorem, we identify a dense residual subset of these games whose cooperative equilibria are all essential.

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Notes

  1. We say that \(g(X)>\gamma \) if \(g(x)>\gamma \) for all \(x\in X\).

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Acknowledgments

This research is supported by National Natural Science Foundation of China (No. 11501349) and the Chen Guang Project sponsored by the Shanghai Municipal Education Commission and Shanghai Education Development Foundation (No. 13CG35).

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Authors and Affiliations

  1. School of Economics, Shanghai University of Finance and Economics, Shanghai, 200433, China

    Zhe Yang & Yan Ju

  2. Key Laboratory of Mathematical Economics (SUFE), Ministry of Education, Shanghai, 200433, China

    Zhe Yang

Authors
  1. Zhe Yang
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  2. Yan Ju
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Correspondence to Zhe Yang.

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Yang, Z., Ju, Y. Existence and generic stability of cooperative equilibria for multi-leader-multi-follower games. J Glob Optim 65, 563–573 (2016). https://doi.org/10.1007/s10898-015-0393-1

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  • DOI: https://doi.org/10.1007/s10898-015-0393-1

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