| EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS |
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| 作者姓名： | 丁协平 |
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| 作者单位： | Deparfment of Mathematics，Sichuan Normal University，Chengdu，610066，China |
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| 摘 要： | 1IntroductionOneofthemainresultsofequilibriullltheoryforgelleralizedgalllesistileexistellceofmaximalelementsconcerninganirreflexivepreferencecorrespondellcewitllcollvexvalues,openlowersections,definedonacompactconvexsubsetKofRnalldwithvaluesillZap,seen.Chapter7].Duetotheimportallceofapplications,tileresultwasgelleralizedby1flailyauthors,forexample,see2,5--7,10,13,15-181.Tilelllostoftheseexistellcetheorellisforlllaxilllalelementsandequilibriulllpointsdealwithpreferencecorrespondenceswhichhav…
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EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS |
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| Ding Xieping.EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS[J].Acta Mathematica Scientia,1998(1). |
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| Authors: | Ding Xieping |
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| Abstract: | The new classes of Fc-correspondences and Fc -majorised correspondenceswithout open lower sections is introduced. Some existence theorems of madximal elements ofthe Fc -correspondences and the Fc-majorized correspondences defined on noncompactset in topological vector spaces are obtained. As applications, some existence theoremsof equilibrium points for one-person games, qualitative games and generalized games withthe Fc -majorized correspondences devined on noncompact strategy sets in topologicalvector spaces are also given. These theorems improve and generalize several known resultsin recent literature. |
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| Keywords: | Generalized games Fc-majorized correspondence transfer compactly openvalued equilibrium |
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