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arXiv · 1901.09116

Coerciveness condition for quasi-equilibrium problems

John Cotrina·Abderrahim Hantoute·Anton Svensson
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Abstract

A quasi-equilibrium problem is an equilibrium problem where the constraint set does depend on the reference point. It generalizes important problems such as quasi-variational inequalities and generalized Nash equilibrium problems. We study the existence of equilibria on unbounded sets under a coerciveness condition adapted from one specific for quasi-variational inequalities recently proposed by Aussel and Sultana. We discuss the relation of our results with others that are present in the literature.

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John Cotrina, Abderrahim Hantoute, Anton Svensson. 2019-01-25. Coerciveness condition for quasi-equilibrium problems. https://arxiv.org/abs/1901.09116

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