On the logic of cooperation and propositional control

Cooperation logics have recently begun to attract attention within the multi-agent systems community. Using a cooperation logic, it is possible to represent and reason about the strategic powers of agents and coalitions of agents in game-like multi-agent systems. These powers are generally assumed to be implicitly defined within the structure of the environment, and their origin is rarely discussed. In this paper, we study a cooperation logic in which agents are each assumed to control a set of propositional variables--the powers of agents and coalitions then derive from the allocation of propositions to agents. The basic modal constructs in this Coalition Logic of Propositional Control (CL-PC) allow us to express the fact that a group of agents can cooperate to bring about a certain state of affairs. After motivating and introducing CL-PC, we provide a complete axiom system for the logic, investigate the issue of characterising control in CL-PC with respect to the underlying power st...

• Type: Journal
• Year: 2005
• Where: AI
• Authors: Wiebe van der Hoek, Michael Wooldridge
• Keywords: AI 2005, Artificial Intelligence, Cooperation Logic, Logics, Multi-agent Systems