Model-checking iterated games

Abstract

We propose a logic for the definition of the collaborative power of groups of agents to enforce different temporal objectives. The resulting temporal cooperation logic (TCL) extends ATL by allowing for successive definition of strategies for agents and agencies. Different to previous logics with similar aims, our extension cuts a fine line between extending the power and maintaining a low complexity: model-checking TCL sentences is EXPTIME complete in the logic, and fixed parameter tractable for specifications of bounded size. This advancement over non-elementary logics is bought by disallowing a too close entanglement between cooperation and competition. We show how allowing such an entanglement immediately leads to a non-elementary complexity. We have implemented a model-checker for the logic and shown the feasibility of model-checking on a few benchmarks. © 2013 Springer-Verlag.