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On extremal solutions of inclusion problems with applications to game theory
Authors:S Heikkilä
Institution:Department of Mathematical Sciences, University of Oulu, Box 3000, FIN-90014 Oulu, Finland
Abstract:A recursion principle, generalized iteration methods and the axiom of choice are applied to prove the existence of extremal fixed points of set-valued mappings in posets, extremal solutions of an inclusion problem, and extremal Nash equilibria for a normal-form game.
Keywords:47H04  47H10  91A06  91A44
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