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Equilibrium existence theorems for multi-leader-follower generalized multiobjective games in FC-spaces

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Abstract

In this paper, we introduce and study a class of multi-leader-follower generalized multiobjective games in FC-spaces where the number of leaders and followers may be finite or infinite and the objective functions of leaders and followers get their values in infinite-dimensional spaces. By using a Pareto equilibrium existence theorem of generalized constrained multiobjective games in FC-spaces due to author, some equilibrium existence theorems for the multi-leader-follower generalized multiobjective games are established in noncompact FC-spaces. These results improve and generalize some corresponding results in recent literatures.

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Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610068, Sichuan, People’s Republic of China

    Xie Ping Ding

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  1. Xie Ping Ding
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Correspondence to Xie Ping Ding.

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Ding, X.P. Equilibrium existence theorems for multi-leader-follower generalized multiobjective games in FC-spaces. J Glob Optim 53, 381–390 (2012). https://doi.org/10.1007/s10898-011-9717-y

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  • DOI: https://doi.org/10.1007/s10898-011-9717-y

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