Ding Xie-ping. A New Equilibrium Existence Theorem of Generalized Game[J]. Applied Mathematics and Mechanics, 1994, 15(1): 13-17.
Citation: Ding Xie-ping. A New Equilibrium Existence Theorem of Generalized Game[J]. Applied Mathematics and Mechanics, 1994, 15(1): 13-17.

A New Equilibrium Existence Theorem of Generalized Game

  • Received Date: 1992-09-16
  • Publish Date: 1994-01-15
  • In the present paper,we prove a new equilibrium existence theorem for generalized games with uncountable number of agents,noncompact choice sets and general preference correspondences which do neither have open graph nor have open lower sections. This theorem improves a recent result of kim.
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  • [1]
    Debreu,G.,A social equilibrium existence theorem,Proc.Nat.Acad.Sci,USA,38(1952),886-893.
    [2]
    Arrow,K.and G.Debreu,Existence of equilibrium for competitive economy,Econometrica.22(1954),265-290.
    [3]
    Shafer,W.and H.Sonnenshein,Equilibrium in abstract economics without ordered preferences,J.Math.Economics,3 (1976),135-137.
    [4]
    Borglin A.and H.Keiding,Existence of equilibrium actions and of equilibrium: A noteon the 'new' existence theorem,J.Math.Economics,3.(1976),313-316.
    [5]
    Yannelis,N.C.and N.D.Prabhakar,Existence in maximal elements and equilibria inlinear topological spaces,J.Math.Economics,12(1983),233-245.
    [6]
    Toussaint.S.,On the existence of equilibria in economics with infinitely many commodities and without ordered preferences,J.Math.Economics,33 (1984),98-115.
    [7]
    Tulcea,C.I.,On the approximation of upper semicontinuous correspondences and the equilibrium of the generalized games,J.Math.Anal.Appl.,136 (1988),267-289.
    [8]
    Tarafdar E.,An extension of Fan's fixed point theorem and equilibrium point of an abstract economy,Comment.}Llath.Unir.Carolinae,31 (1990),723-730.
    [9]
    Tarafdar,E.,A fixed point theorem and equilibrium point of an abstract economy,J.Math.Economics.20 (1991),21l-218.
    [10]
    Rim,D.1.and W.K.Kim,A fixed point theorem and existence of equilibrium for abstract economies,Bull.Austral.Math.Soc.,45 (1992),385-394.
    [11]
    Ding X.P..W.K.Kim,and K.K.Tan,Equilibria of non-compact generalized games with,£-majorized preference corresoonden.;es,J.Math.Anal.Appl.,164(1992),508-517.
    [12]
    Ding X.P.and K.K.Tan,Fixed point theorems and equilibria of non-compact generalized games,to appear in Proceedings of the Second International Conference on Fixed Point Theory and Applications.
    [13]
    Ding X.P.and K.K.Tan,On equilibria of non-compact generalized games,J.Math.Anal.App.,forthcoming.
    [14]
    Tian G.,Equilibrium in abstract economics with a non-compact infinite dimensional strategy space,an inFnite number of agents and without ordered preferences,EconomicsLetters,33(1990); 203-206.
    [15]
    Kim W.K.,A new equilibrium existence theorem,Economics Letters,forthcoming.
    [16]
    Aubin J.P.and I.Ekeland,Applied Nonlinear Analysis,John Wiley and Sons.New York (1984).
    [17]
    Fan Ky,Fixed point and minimax theorems in locally convex topological linear spaces,Proc.Nat.Acad.Sci.USA,38 (1952),131-136.
    [18]
    Himmelberg,C.J.,Fixed points of compact multifunctions,J.Math.Anal.Appl.,38(1972),205-207.
    [19]
    Ding X.P.,W.K.Kim and K.K,Tan,A selection theorem and its applicatsons,Bull.Austral.Math.Soc..46(1992),205-212.
    [20]
    Gale B.and A.Mas-Colell,On the role of complete,transitive preferences in equilibrium theory,in Equilibrium and Disequilibrium in Economic Theory,(G.Schwodiauer,Ed.),Reidel Dordrecht(9781).7-14.
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