On extremal solutions of inclusion problems with applications to game theory |
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Authors: | S. Heikkilä |
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Affiliation: | Department of Mathematical Sciences, University of Oulu, Box 3000, FIN-90014 Oulu, Finland |
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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. |
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Keywords: | 47H04 47H10 91A06 91A44 |
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