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The Ricardo-Lemke parametric algorithm on oddity and uniqueness

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

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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.

Keywords: Oddity; parametric Lemke algorithm; Ricardo; uniqueness. (search for similar items in EconPapers)
Date: 2012
Note: View the original document on HAL open archive server: https://hal.science/hal-04141043
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