Existence and Generic Stability of Strong Noncooperative Equilibria of Vector-Valued Games

Yu Zhang, Shih-Sen Chang and Tao Chen
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Yu Zhang: College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, China
Shih-Sen Chang: Center for General Education, China Medical University, Taichung 40402, Taiwan
Tao Chen: School of Fundamental Sciences, Yunnan Open University, Kunming 650223, China

Mathematics, 2021, vol. 9, issue 24, 1-13

Abstract: In this paper, we obtain an existence theorem of general strong noncooperative equilibrium point of vector-valued games, in which every player maximizes all goals. We also obtain an existence theorem of strong equilibrium point of vector-valued games with single-leader–multi-follower framework by using the upper semicontinuous of parametric strong noncooperative equilibrium point set of the followers. Moreover, we obtain some results on the generic stability of general strong noncooperative equilibrium point vector-valued games.

Keywords: strong noncooperative game; generic stability; vector payoff; single-leader–multi-follower framework (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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