• 제목/요약/키워드: $\tau$-quasiconcave

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COINCIDENCE THEOREMS ON A PRODUCT OF GENERALIZED CONVEX SPACES AND APPLICATIONS TO EQUILIBRIA

  • Park, Se-Hie;Kim, Hoon-Joo
    • 대한수학회지
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    • 제36권4호
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    • pp.813-828
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    • 1999
  • In this paper, we give a Peleg type KKM theorem on G-convex spaces and using this, we obtain a coincidence theorem. First, these results are applied to a whole intersection property, a section property, and an analytic alternative for multimaps. Secondly, these are used to proved existence theorems of equilibrium points in qualitative games with preference correspondences and in n-person games with constraint and preference correspondences for non-paracompact wetting of commodity spaces.

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