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An oddity property for cross-dual games

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  • Christian Bidard

Abstract

The parametric Lemke algorithm is used to show the existence of an odd number of solutions of a generalized bimatrix game in a certain domain. These solutions are classi?ed into two types according to the relative sign of two determinants. The British economist David Ricardo made an implicit use of that algorithm at the beginning of the nineteenth century.

Suggested Citation

  • Christian Bidard, 2015. "An oddity property for cross-dual games," EconomiX Working Papers 2015-4, University of Paris Nanterre, EconomiX.
    • Handle: RePEc:drm:wpaper:2015-4
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    File URL: http://economix.fr/pdf/dt/2015/WP_EcoX_2015-04.pdf
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    References listed on IDEAS

    as
    1. Erreygers, Guido, 1995. "On the Uniqueness of Square Cost-Minimizing Techniques," The Manchester School of Economic & Social Studies, University of Manchester, vol. 63(2), pages 145-166, June.
    2. C. E. Lemke, 1965. "Bimatrix Equilibrium Points and Mathematical Programming," Management Science, INFORMS, vol. 11(7), pages 681-689, May.
    3. Christian Bidard, 2010. "Complementarity Problems and General Equilibrium," EconomiX Working Papers 2010-8, University of Paris Nanterre, EconomiX.
    4. Bidard, Christian, 2014. "The Ricardian rent theory: an overview," Centro Sraffa Working Papers CSWP8, Centro di Ricerche e Documentazione "Piero Sraffa".
    5. Salvadori, Neri, 1986. "Land and Choice of Techniques within the Sraffa Framework," Australian Economic Papers, Wiley Blackwell, vol. 25(46), pages 94-105, June.
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    More about this item

    Keywords

    Complementarity problems; Generalized bimatrix game; Oddity; Parametric Lemke algorithm; Ricardo.;
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