Coordination Games on Directed Graphs

Coordination Games on Directed Graphs

Blog Article

We study natural strategic games on directed graphs, which capture the idea of coordination in Frypans the absence of globally common strategies.We show that these games do not need to have a pure Nash equilibrium and that the problem of determining their existence is NP-complete.The same Pizza Cutter holds for strong equilibria.We also exhibit some classes of games for which strong equilibria exist and prove that a strong equilibrium can then be found in linear time.