Existence Theorems of Equilibria in G-Convex Spaces for GLC-Majorized Correspondences

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Authors

  • Department of Mathematics, The University of Queensland, Brisbane, Queensland-4072 ,AU
  • Department of Mathematics, The University of Queensland, Brisbane, Queensland-4072 ,AU
  • Department of Mathematics, The University of Queensland, Brisbane, Queensland-4072 ,AU

Abstract

A fixed point theorem is proved in G-convex spaces (introduced by Park and Kim [17]). As applications of the fixed point theorem some existence theorems of maximal elements for GLC correspondences and GLC majorized correspondences are obtained. Applying the existence theorems of maximal elements, some equilibrium existence theorems for one-person games, qualitative games and non-compact generalized games are given. These results are generalization, into G-convex spaces, of the corresponding results due to Border, Borglin-Keiding, Chang, Ding-Tan, Ding-Kim-Tan, Shafer-Sonnenschein, Tan-Yuan. Toussaint, Tulcea and Yannaelis-Prabhakar.

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Published

1999-12-01

How to Cite

Chowdhury, M. S. R., Tarafdar, E., & Yuan, G. X. Z. (1999). Existence Theorems of Equilibria in G-Convex Spaces for G<sup>L</sup><sub>C</sub>-Majorized Correspondences. The Journal of the Indian Mathematical Society, 66(1-4), 145–162. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/21977