Functional Dependence in Strategic Games
arXiv:1302.0447 · doi:10.1215/00294527-3479096
Abstract
The paper studies properties of functional dependencies between strategies of players in Nash equilibria of multi-player strategic games. The main focus is on the properties of functional dependencies in the context of a fixed dependency graph for pay-off functions. A logical system describing properties of functional dependence for any given graph is proposed and is proven to be complete.