Efficient Nash equilibria on semilattices

Walter Briec (), Charles Horvath and QiBin Liang

Journal of Global Optimization, 2013, vol. 56, issue 4, 1603-1615

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. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Leontief utility functions; Quasi-Leontief utility functions; Efficient points; Nash equilibria; Semilattices; Topological semilattices; 60A12; 22A26; 49J27; 91A44; 91B02 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9915-2

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