Browse > Article
http://dx.doi.org/10.14403/jcms.2010.23.4.691

NEW EXISTENCE OF SOCIAL EQUILIBRIA IN GENERALIZED NASH GAMES WITH INSATIABILITY  

Kim, Won Kyu (Department of Mathematics Education Chungbuk National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 691-698 More about this Journal
Abstract
In this paper, we first introduce a new model of strategic Nash game with insatiability, and next give two social equilibrium existence theorems for general strategic games which are comparable with the previous results due to Arrow and Debreu, Debreu, and Chang in several aspects.
Keywords
social equilibrium; insatiability;
Citations & Related Records
연도 인용수 순위
  • Reference
1 K. J. Arrow and G. Debreu, Existence of an equilibrium for a competitive economy, Econometrica 22 (1954), 265-290.   DOI   ScienceOn
2 A. Borglin and H. Keiding, Existence of equilibrium actions and of equilibrium: A note on the 'new' existence theorem, J. Math. Econom. 3 (1976), 313-316.   DOI   ScienceOn
3 S.-Y. Chang, Noncompact qualitative games with applications to equilibria, Nonlinear Anal. 65 (2006), 593-600.   DOI   ScienceOn
4 G. Debreu, A social equilibrium theorem, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 386-393.
5 X. P. Ding, W. K. Kim and K.-K.Tan, Equilibria of non-compact generalized games with $L^{*}$-majorized preferences, J. Math. Anal. Appl. 164 (1992), 508-517.   DOI
6 D. Gale and A. Mas-Colell, An equilibrium existence for a general model without ordered preferences, J. Math. Econom. 2 (1975), 9-15.   DOI   ScienceOn
7 W. K. Kim and G.X.-Z. Yuan, Existence of equilibria for generalized games and generalized social systems with coordination, Nonlinear Anal. 45 (2001), 169-188.   DOI   ScienceOn
8 J. Nash, Non-cooperative games, Ann. Math. 54 (1951), 286-295.   DOI   ScienceOn
9 S. Park, Acyclic versions of the von Neumann and Nash equilibrium theorems, J. Comp. Appl. Math. 113 (2000), 83-91.   DOI   ScienceOn
10 W. Shafer and H. Sonnenschein, Equilibrium in abstract economies without ordered preferences, J. Math. Econom. 2 (1975), 345-348.   DOI   ScienceOn