The Study of Abstract Economies with Two Constraint Correspondences

L. J. Lin () and Y. H. Liu
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L. J. Lin: National Changhua University of Education
Y. H. Liu: National Changhua University of Education

Journal of Optimization Theory and Applications, 2008, vol. 137, issue 1, No 4, 52 pages

Abstract: Abstract We apply the Himmelberg fixed-point theorem to establish existence theorems of equilibria for generalized abstract economies with two constraint correspondences in which the strategic spaces may not be compact and the set of players may not be countable. Our results have applications in other sciences or disciplines (e.g. game theory, optimization theory and economics) in our subsequent paper.

Keywords: Upper (lower) semicontinity; Transfer-open mappings; Open lower sections (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-007-9285-y

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