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ON GENERALIZED WEIGHT NASH EQUILIBRIA FOR GENERALIZED MULTIOBJECTIVE GAMES

  • Kim, Won-Kyu ;
  • Ding, Xie-Ping
  • Published : 2003.09.01

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.

Keywords

generalized multiobjective game;generalized weight Nash equilibrium;generalized Pareto equilibrium

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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