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Games in oriented matroids

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  • McLennan, Andrew
  • Tourky, Rabee

Abstract

We 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 Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 44 (2008)
Issue (Month): 7-8 (July)
Pages: 807-821

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Handle: RePEc:eee:mateco:v:44:y:2008:i:7-8:p:807-821

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Web page: http://www.elsevier.com/locate/jmateco

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  1. Rahul Savani & Bernhard Stengel, 2006. "Hard-to-Solve Bimatrix Games," Econometrica, Econometric Society, Econometric Society, vol. 74(2), pages 397-429, 03.
  2. C. E. Lemke, 1965. "Bimatrix Equilibrium Points and Mathematical Programming," Management Science, INFORMS, INFORMS, vol. 11(7), pages 681-689, May.
  3. Von Stengel, Bernhard, 2002. "Computing equilibria for two-person games," Handbook of Game Theory with Economic Applications, Elsevier, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 45, pages 1723-1759 Elsevier.
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Cited by:
  1. 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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