Abstract
In this paper we consider a Walrasian pure exchange economy with utility function which is a particular case of a general economic equilibrium problem, without production. We assume that each agent is endowed with at least of a commodity, his preferences are expressed by an utility function and it prevails a competitive behaviour: each agent regards the prices payed and received as independent of his own choices. The Walrasian equilibrium can be characterized as a solution to a quasi-variational inequality. By using this variational approach, our goal is to prove an existence result of equilibrium solutions.
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Donato, M.B., Milasi, M. & Vitanza, C. An existence result of a quasi-variational inequality associated to an equilibrium problem. J Glob Optim 40, 87–97 (2008). https://doi.org/10.1007/s10898-007-9199-0
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DOI: https://doi.org/10.1007/s10898-007-9199-0