On the computational complexity of qualitative coalitional games

 
EPrints.org
Agentlink Clearinghouse is powered by GNU EPrints developed by the School of Electronics and Computer Science of the University of Southampton.
Type: Article
Member Organisation: 001 University of Liverpool

Wooldridge, Michael and Dunne, Paul E. (2004) On the computational complexity of qualitative coalitional games. Artificial Intelligence, 158 (1). pp. 27-73. ISSN 0004-3702

Full text not available from this archive.

Abstract

We study coalitional games in which agents are each assumed to have a goal to be achieved, and where the characteristic property of a coalition is a set of choices, with each choice denoting a set of goals that would be achieved if the choice was made. Such qualitative coalitional games (QCGs) are a natural tool for modelling goal-oriented multiagent systems. After introducing and formally defining QCGs, we systematically formulate fourteen natural decision problems associated with them, and determine the computational complexity of these problems. For example, we formulate a notion of coalitional stability inspired by that of the core from conventional coalitional games, and prove that the problem of showing that the core of a is non-empty is DP(1)-complete. (As an aside, we present what we believe is the first "natural" problem that is proven to be complete for DP(2).) We conclude by discussing the relationship of our work to other research on coalitional reasoning in multiagent systems, and present some avenues for future research.

Deposited by Dr. Paul E. Dunne on 04 March 2005

Archive Staff Only: edit this record

   

AgentLink is the European Commission's IST-funded Coordination Action for Agent-Based Computing
and is coordinated by the
University of Liverpool and University of Southampton
If you encounter any problems with these pages please contact web@agentlink.org.