Sufficient conditions to compute any solution of a quasivariational inequality via a variational inequality |
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Authors: | Didier Aussel Simone Sagratella |
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Institution: | 1.PROMES UPR CNRS 8521,University of Perpignan,Perpignan,France;2.Department of Computer, Control and Management Engineering,Sapienza University of Rome,Rome,Italy |
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Abstract: | We define the concept of reproducible map and show that, whenever the constraint map defining the quasivariational inequality (QVI) is reproducible then one can characterize the whole solution set of the QVI as a union of solution sets of some variational inequalities (VI). By exploiting this property, we give sufficient conditions to compute any solution of a generalized Nash equilibrium problem (GNEP) by solving a suitable VI. Finally, we define the class of pseudo-Nash equilibrium problems, which are (not necessarily convex) GNEPs whose solutions can be computed by solving suitable Nash equilibrium problems. |
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