대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제29권2호
  • /
  • Pages.367-377
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  • 2014
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON A GENERALIZED BERGE STRONG EQUILIBRIUM

  • Kim, Won Kyu (Department of Mathematics Education Chungbuk National University)
  • 투고 : 2013.10.22
  • 발행 : 2014.04.30
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초록

In this paper, we first introduce a generalized concept of Berge strong equilibrium for a generalized game $\mathcal{G}=(X_i;T_i,f_i)_{i{\in}I}$ of normal form, and using a fixed point theorem for compact acyclic maps in admissible convex sets, we establish the existence theorem of generalized Berge strong equilibrium for the game $\mathcal{G}$ with acyclic values. Also, we have demonstrated by examples that our new approach is useful to produce generalized Berge strong equilibria.

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참고문헌

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