경영과학 (Korean Management Science Review)

한국경영과학회 (The Korean Operations Research and Management Science Society)
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부분 경쟁 균형 및 균형의 특성

Locally Competitive Equilibrium and Properties

  • 김도환 (세종대학교 경영대학 경영학과)
  • 발행 : 2009.03.31
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초록

I study a solution concept which preserves the nice Nash equilibrium properties of two-person zero-sum games, and define a locally competitive equilibrium which is characterized by a saddle point with respect to the coordinates of strategies. I show that a locally competitive equilibrium shares the properties of uniqueness of equilibrium payoffs, interchangeablity of equilibrium strategies and convexity of the equilibrium set.

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참고문헌

  1. Aumann, R.J. 'Almost strictly competitive games,' Journal of the Society of Industrial and Applied Mathematics, Vo1.9(1961), pp. 544-550 https://doi.org/10.1137/0109046
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  3. Moulin, H. and J. Vial, 'Strategically zerosum games: the class of games whose completely mixed equilibria cannot be improved,' International Journal of Game Theory, Vo1.7(1978), pp201-221 https://doi.org/10.1007/BF01769190
  4. Rosenthal, R.W., 'Correlated equilibria in some classes of two-person games,' International Journal of Game Theory, Vo1.3(1974), pp. 119-128 https://doi.org/10.1007/BF01763252
  5. Shapley, L., 'Some topics in two person games,' in Annals of Mathematical Studies (Dresher, Shapley, and Tucker, eds.), Princeton : Princeton University Press, 1964
  6. Vorob'ev, N.N., Game Theory: Lectures for Economists and Systems Scientists, New York, Heidelberg, Berlin: Springer-Verlag, 1977