On variational approach to economic equilibrium — type problem
Abstract
The paper deals with an optimization problem in which minima of a finite collection of objective functions satisfy some unilateral constraints and are linked together by a certain subdifferential law. The governing relations are variational inequalities defined on a nonconvex feasible set. By reducing the problem to a variational inequality involving nonmonotone multivalued mapping defined over a nonnegative orthant, the existence of solutions is established under the assumption that constrained functions are positive homogeneous of degree at most one.
Keywords
variational inequality; duality; Walrasian equilibrium
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Instytut Fizyki, Wydział Matematyczno-Przyrodniczy, Uniwersytet Kardynała Stefana Wyszyńskiego w Warszawie Poland
Centrum Nauczania Matematyki i Fizyki oraz Instytut Matematyki, Politechnika Łódzka Poland
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