Journal
MATHEMATICAL METHODS OF OPERATIONS RESEARCH
Volume 85, Issue 1, Pages 3-18Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00186-016-0565-x
Keywords
Quasivariational inequality; Generalized Nash equilibrium problem; Reproducible set-valued map; Quasiconvexity
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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 suitableVI. 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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