English

Remarks on projected solutions for generalized Nash games

Optimization and Control 2023-07-26 v1

Abstract

In this work, we focus on the concept of projected solutions for generalized Nash equilibrium problems. We present new existence results by considering sets of strategies that are not necessarily compact. The relationship between projected solutions and Nash equilibria is studied for the generalized Nash game proposed by Rosen. Finally, we demonstrate that every projected solution of a game is associated with a Nash equilibrium, but in a different game.

Keywords

Cite

@article{arxiv.2307.13171,
  title  = {Remarks on projected solutions for generalized Nash games},
  author = {Calderón Carlos and Cotrina John},
  journal= {arXiv preprint arXiv:2307.13171},
  year   = {2023}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:2307.03532

R2 v1 2026-06-28T11:39:12.130Z