Abstract
In this paper, by virtue of the Kakutani–Fan–Glicksberg fixed point theorem and a nonlinear scalarization function, we first obtain an existence theorem of general n-person noncooperative games problems with set payoffs. Then, we also obtain existence theorems of minimax regret equilibria and ϵ-minimax regret equilibria with scalar set payoffs. Some examples are given to illustrate our results.
2010 Mathematics Subject Classification:
Acknowledgments
The authors are grateful to the anonymous referees for their valuable comments and suggestions, which improved the paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).