Stability of weighted Nash equilibrium for multiobjective population games
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Authors
Guanghui Yang
- School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, P. R. China.
Hui Yang
- School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, P. R. China.
Qiqing Song
- School of Science, Guilin University of Technology, Guilin, 541004, P. R. China.
- School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, P. R. China.
Abstract
This paper studies the existence and stability of weighted Nash equilibria for multiobjective population
games. By constructing a Nash's mapping, the existence of weighted Nash equilibria is established.
Furthermore, via the generic continuity method, each weighted Nash equilibrium is shown to be stable for
most of multiobjective population games when weight combinations and payoff functions are simultaneously
perturbed. Besides, this leads to the stability of Nash equilibria for classical population games with the
perturbed payoff functions. These results play cornerstone role in the research concerning multiobjective
population games.
Share and Cite
ISRP Style
Guanghui Yang, Hui Yang, Qiqing Song, Stability of weighted Nash equilibrium for multiobjective population games, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4167--4176
AMA Style
Yang Guanghui, Yang Hui, Song Qiqing, Stability of weighted Nash equilibrium for multiobjective population games. J. Nonlinear Sci. Appl. (2016); 9(6):4167--4176
Chicago/Turabian Style
Yang, Guanghui, Yang, Hui, Song, Qiqing. "Stability of weighted Nash equilibrium for multiobjective population games." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4167--4176
Keywords
- Multiobjective population game
- weighted Nash equilibrium
- stability.
MSC
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