On the existence of a competitive equilibrium with utility function: a variational approach
نویسنده
چکیده
A competitive economic equilibrium problem involving utility functions is considered. The equilibrium problem is reformulated by means of a quasi-variational inequality and an existence result of equilibrium under weaker assumption than strong monotonicity is obtained. In this more general setting, when the excess demand operator is not a single valued-map, we are led to study a generalized variational inequality. The latter can be avoided simply by introducing suitable perturbed utility functions.
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