Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (1): 13-17.

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A NEW EQUILIBRIUM EXISTENCE THEOREM OF GENERALIZED GAME

Ding Xie-ping   

  1. Sichuan Normal University, Chengdu
  • Online:1994-01-18 Published:1994-01-18
  • Supported by:

    Project Supported by the National Natural Science Foundation of China

Abstract: In the present paper, we prove a new equilibrium existence theorem forgeneralized games with uncountable number of agents, noncompact choice sets andgeneral preference correspondences which do neither have open graph nor have openlower sections. This theorem improves a recent result of kim.

Key words: generalized game, equilibrium, locally convex topologicalvector space

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