Applications of Variational Analysis to Strong Nash Equilibria

Game theory problems have a wide array of applications and intricate structures. Because of this, there are different types of solution concepts available in the literature. In this work, strong Nash equilibria (a type of solution to game theoretic problems that extends Nash equilibria) are explored. Some new sufficient conditions for the existence of said solutions are put forth. An algorithm is also provided that, when convergent, will lead to a strong Nash equilibrium. Some tests to determine the practical efficiency of the algorithm are included.