Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON GENERALIZED WEIGHT NASH EQUILIBRIA FOR GENERALIZED MULTIOBJECTIVE GAMES

  • Kim, Won-Kyu (Department of Mathematics Education Chungbuk National University) ;
  • Ding, Xie-Ping (Department of Mathematics Sichuan Normal University)
  • Published : 2003.09.01
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Abstract

In this paper, we will introduce the general concepts of generalized multiobjective game, generalized weight Nash equilibria and generalized Pareto equilibria. Next using the fixed point theorems due to Idzik [5] and Kim-Tan [6] , we shall prove the existence theorems of generalized weight Nash equilibria under general hypotheses. And as applications of generalized weight Nash equilibria, we shall prove the existence of generalized Pareto equilibria in non-compact generalized multiobjective game.

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References

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  1. On Convex Total Bounded Sets in the Space of Measurable Functions vol.2012, 2012, https://doi.org/10.1155/2012/174856
  2. Compact Browder maps and equilibria of abstract economies vol.26, pp.1-2, 2008, https://doi.org/10.1007/s12190-007-0022-3