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On extremal solutions of inclusion problems with applications to game theory

Article ID Journal Published Year Pages File Type
843762 Nonlinear Analysis: Theory, Methods & Applications 2008 10 Pages PDF
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
47H1091A4447H0491A06Nash equilibriumminimalMaximalSolutionInclusion problemSet-valued mappingFixed pointposet
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
On extremal solutions of inclusion problems with applications to game theory
Authors
S. Heikkilä,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
47H10
91A44
47H04
91A06
Nash equilibrium
minimal
Maximal
Solution
Inclusion problem
Set-valued mapping
Fixed point
poset
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