Topological degree and number of Nash equilibrium points of bimatrix games |
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| Authors: | C. Le Van |
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| Affiliation: | (1) Chercheur au GAMA (Groupe d'Analyse Macroéconomique Appliquée), Université Paris-X, Nanterre, France |
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| Abstract: | In this paper, using the topological degree, we give a new proof of a well-known result: the number of Nash equilibrium points of a nondegenerate bimatrix game is odd. The calculation of the topological degree allows the localization of the whole set of non-degenerate equilibrium points. |
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| Keywords: | Topological degree homotopy Nash equilibrium points bimatrix games players retraction |
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