Games in oriented matroids
AbstractWe introduce a combinatorial abstraction of two person finite games in an oriented matroid. We also define a combinatorial version of Nash equilibrium and prove that an odd number of equilibria exists. The proof is a purely combinatorial rendition of the Lemke-Howson algorithm.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 44 (2008)
Issue (Month): 7-8 (July)
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Web page: http://www.elsevier.com/locate/jmateco
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- Rahul Savani & Bernhard Stengel, 2006. "Hard-to-Solve Bimatrix Games," Econometrica, Econometric Society, Econometric Society, vol. 74(2), pages 397-429, 03.
- C. E. Lemke, 1965. "Bimatrix Equilibrium Points and Mathematical Programming," Management Science, INFORMS, INFORMS, vol. 11(7), pages 681-689, May.
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- Andrew McLennan & Rabee Tourky, 2008.
"Imitation Games and Computation,"
Discussion Papers Series, School of Economics, University of Queensland, Australia
359, School of Economics, University of Queensland, Australia.
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