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An oddity property for cross-dual games

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  • Christian Bidard

    (EconomiX - EconomiX - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique)

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 classified 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," Working Papers hal-04141427, HAL.
    • Handle: RePEc:hal:wpaper:hal-04141427
    Note: View the original document on HAL open archive server: https://hal.science/hal-04141427
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    References listed on IDEAS

    as
    1. C. E. Lemke, 1965. "Bimatrix Equilibrium Points and Mathematical Programming," Management Science, INFORMS, vol. 11(7), pages 681-689, May.
    2. M. Seetharama Gowda & Jong-Shi Pang, 1992. "On Solution Stability of the Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 77-83, February.
    3. Bidard, Christian, 2014. "The Ricardian rent theory: an overview," Centro Sraffa Working Papers CSWP8, Centro di Ricerche e Documentazione "Piero Sraffa".
    4. 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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