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Variational methods for equilibrium problems involving quasi-concave utility functions
Abstract This paper deals with the existence of competitive equilibrium points in a Walrasian pure exchange economy with utility function. An existence result involving quasi-concave utility functions is established. In particular, a previous result by the authors involving concave utility functions is improved. The approach is variational. Indeed, competitive equilibrium points will be found out as solutions of a quasi-variational inequality in a finite dimensional space. In particular, an existence result for (generalized) quasi-variational inequalities established by Cubiotti is applied.
Variational methods for equilibrium problems involving quasi-concave utility functions
Abstract This paper deals with the existence of competitive equilibrium points in a Walrasian pure exchange economy with utility function. An existence result involving quasi-concave utility functions is established. In particular, a previous result by the authors involving concave utility functions is improved. The approach is variational. Indeed, competitive equilibrium points will be found out as solutions of a quasi-variational inequality in a finite dimensional space. In particular, an existence result for (generalized) quasi-variational inequalities established by Cubiotti is applied.
Variational methods for equilibrium problems involving quasi-concave utility functions
Anello, Giovanni (author) / Donato, Maria B. (author) / Milasi, Monica (author)
Optimization and Engineering ; 13 ; 169-179
2011-06-21
11 pages
Article (Journal)
Electronic Resource
English
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