Functional Dependence in Strategic Games
classification
🧮 math.LO
cs.GTcs.LO
keywords
functionalpropertiesdependencedependenciesgamesgraphstrategiccomplete
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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.
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