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Efficient Nash equilibria on semilattices

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Abstract

This contribution introduces the so-called quasi-Leontief functions. In the framework and the language of tropical algebras, our quasi-Leontief functions are the additive functions defined on a semimodule with values in the semiring of scalars. This class of functions encompasses as a special case the usual Leontief utility function. We establish the existence of efficient Nash equilibria when the strategy spaces are compact and pathconnected topological semilattices.

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Authors and Affiliations

  1. Department of Economics, University of Perpignan, 52 Avenue Paul Alduy, 66800, Perpignan, France

    Walter Briec & QiBin Liang

  2. Département de Mathématiques, Université de Perpignan, 52 Avenue Paul Alduy, 66800, Perpignan, France

    Charles Horvath

Authors
  1. Walter Briec
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  2. Charles Horvath
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  3. QiBin Liang
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Correspondence to Walter Briec.

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Briec, W., Horvath, C. & Liang, Q. Efficient Nash equilibria on semilattices. J Glob Optim 56, 1603–1615 (2013). https://doi.org/10.1007/s10898-012-9915-2

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  • DOI: https://doi.org/10.1007/s10898-012-9915-2

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