留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

广义对策的一个新的平衡存在定理*

丁协平

丁协平. 广义对策的一个新的平衡存在定理*[J]. 应用数学和力学, 1994, 15(1): 13-17.
引用本文: 丁协平. 广义对策的一个新的平衡存在定理*[J]. 应用数学和力学, 1994, 15(1): 13-17.
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.

广义对策的一个新的平衡存在定理*

基金项目: * 国家自然科学基金

A New Equilibrium Existence Theorem of Generalized Game

  • 摘要: 在本文中,我们对具有不可数多个经纪人,具有非紧选择集和具有一般选择对应的广义对策证明了一个新的平衡存在定理。这用既不要求选择对应有开图也不要求它有开下截口。这个定理改进了Kim的一个最近结果。
  • [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.
  • 加载中
计量
  • 文章访问数:  1947
  • HTML全文浏览量:  136
  • PDF下载量:  447
  • 被引次数: 0
出版历程
  • 收稿日期:  1992-09-16
  • 刊出日期:  1994-01-15

目录

    /

    返回文章
    返回