In this paper we study non cooperative games with potential as introduced by Monderer and Shapley in 1996. We extend the notions of weighted and ordinal potential games to a multicriteria setting and study their Pareto equilibria. The importance of these games is the existence of Pareto...

Two logically distinct and permissive extensions of iterative weak dominance are introduced for games with possibly vector-valued payoffs. The first, iterative partial dominance, builds on an easy-to-check condition but may lead to solutions that do not include any (generalized) Nash equilibria....