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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 (Autor:in) / Donato, Maria B. (Autor:in) / Milasi, Monica (Autor:in)
2011
Aufsatz (Zeitschrift)
Englisch
Variational methods for equilibrium problems involving quasi-concave utility functions
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