Reformulations for Projected Solutions of Generalized Games

Calderón C.; Castellani M.; Cotrina J.; Giuli M. · Journal of Optimization Theory and Applications (2025) · DOI: 10.1007/s10957-024-02591-3

Resumen

We show that projected solutions of a generalized game correspond to classical ones of an auxiliary generalized game obtained by doubling the number of players. Based on this reformulation and using known results for the existence of classical solutions, we deduce some new existence results for projected solutions of generalized Nash equilibrium problems and quasivariational inequalities. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

Instituciones: Universidad del Pacífico