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SOCIAL EQUILIBRIUM IN A GENERALIZED NASH GAME WITH THE AFFINE CONDITION

김원규
대한수학회 (The Korean Mathematical Society)|2012.04|대한수학회논문집 (Communications of the KMS)|제27권 제2호|pp. 425-430

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참고문헌

키워드

affinegeneralized Nash gamesocial equilibrium
주제분류수학

초록

In this paper, we will prove a social equilibrium existence theorem of a generalized Nash game with affine constraint correspondences which is comparable with Nash's equilibrium existence theorem in several aspects.

Abstract

In this paper, we will prove a social equilibrium existence theorem of a generalized Nash game with affine constraint correspondences which is comparable with Nash's equilibrium existence theorem in several aspects.

참고문헌 (7)

  1. J. G. Becker, "On the existence of symmetric mixed strategy equilibria", Econom. Letters, 90(1), pp.84~87 (2006)
  2. G. Debreu, "A social equilibrium existence theorem", Proc. Nat. Acad. Sci. U.S.A, 38, pp.386~393 (1952)
  3. 김원규, "EXISTENCE OF NASH EQUILIBRIUM IN A COMPACT ACYCLIC STRATEGIC GAME", 충청수학회지, 23(1), pp.29~35 (2010), 충청수학회
  4. 김원규, "Nash equilibrium and minimax theorem with C-concavity", JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 328(2), pp.1206~1216, ACADEMIC PRESS INC ELSEVIER SCIENCE
  5. H. Lu, "On the existence of pure strategy Nash equilibrium", Econom. Letters, 94(3), pp.459~462 (2007)
  6. J. Nash, "Non-cooperative games", Ann. Math, 54, pp.286~295 (1951)
  7. H. Nikaido, "Note on non-cooperative convex games", Pacic J. Math, 5, pp.807~815 (1955)

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