The article studies properties of functional dependencies between strategies of players in Nash equilibria of multiplayer strategic games. The main focus is on the properties of functional dependencies in the context of a fixed dependency graph for payoff functions. A logical system describing properties of functional dependence for any given graph is proposed and is proven to be complete.
"Functional Dependence in Strategic Games." Notre Dame J. Formal Logic 57 (3) 341 - 353, 2016. https://doi.org/10.1215/00294527-3479096