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The Ricardo-Lemke parametric algorithm on oddity and uniqueness

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  • Christian Bidard

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

Abstract

The parametric Lemke algorithm finds an odd number of solutions to the linear complementarity problem LCP (q, M), for a matrix M with zero blocks on the diagonal and vector q within a certain domain. A criterion for monotonicity and uniqueness is given. The algorithm applies to the determination of a long-run equilibrium in the presence of scarce resources, and its first description can be traced back to the nineteenth century economist David Ricardo.

Suggested Citation

  • Christian Bidard, 2012. "The Ricardo-Lemke parametric algorithm on oddity and uniqueness," Working Papers hal-04141043, HAL.
    • Handle: RePEc:hal:wpaper:hal-04141043
    Note: View the original document on HAL open archive server: https://hal.science/hal-04141043
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    References listed on IDEAS

    as
    1. Christian Bidard, 2012. "The Frail Grounds of the Ricardian Dynamics," Working Papers hal-04141039, HAL.
    2. Christian Bidard & Guido Erreygers, 1998. "The number and type of long-term equilibria," Journal of Economics, Springer, vol. 67(2), pages 181-205, June.
    3. Dantzig, George B. & Manne, Alan S., 1974. "A complementarity algorithm for an optimal capital path with invariant proportions," Journal of Economic Theory, Elsevier, vol. 9(3), pages 312-323, November.
    4. C. E. Lemke, 1965. "Bimatrix Equilibrium Points and Mathematical Programming," Management Science, INFORMS, vol. 11(7), pages 681-689, May.
    5. Christian Bidard, 2012. "The Frail Grounds of the Ricardian Dynamics," EconomiX Working Papers 2012-43, University of Paris Nanterre, EconomiX.
    6. Salvadori, Neri, 1986. "Land and Choice of Techniques within the Sraffa Framework," Australian Economic Papers, Wiley Blackwell, vol. 25(46), pages 94-105, June.
    Full references (including those not matched with items on IDEAS)

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