Searching Pareto Optimal Solutions for the Problem of Forming and Restructuring Coalitions in Multi-Agent Systems

Coordination is one of the fundamental research issues in distributed artificial intelligence and multi-agent systems. Current multi-agent coalition formation methods present two limits: First, computation must be completely restarted when a change occurs. Second, utility functions of the agents are either global or aggregated. We present a new algorithm to cope with these limits. The first part of this paper presents a coalition formation method for multi-agent systems which finds a Pareto optimal solution without aggregating the preferences of the agents. This protocol is adapted to problems requiring coordination by coalition formation, where it is undesirable, or not possible, to aggregate the preferences of the agents. The second part of this paper proposes an extension of this method enabling dynamic restructuring of coalitions when changes occur in the system.

[1]  Steven P. Ketchpel Forming Coalitions in the Face of Uncertain Rewards , 1994, AAAI.

[2]  Sarit Kraus,et al.  Methods for Task Allocation via Agent Coalition Formation , 1998, Artif. Intell..

[3]  D. Breuil Evolutionary systems design: Policy making under complexity and group decision support systems: M.F. SHAKUN (ed.) Holden-Day, Oakland, 1987, xiii + 287 pages, $48.95 , 1988 .

[4]  Samir Aknine,et al.  Multi-agent models for searching Pareto optimal solutions to the problem of forming and dynamic restructuring of coalitions , 2002, ECAI.

[5]  Ken Binmore Jeux et théorie des jeux , 1999 .

[6]  Jeffrey S. Rosenschein,et al.  Coalition, Cryptography, and Stability: Mechanisms for Coalition Formation in Task Oriented Domains , 2018, AAAI.

[7]  Onn Shehory,et al.  Coalition structure generation with worst case guarantees , 2022 .

[8]  Hanna Bäck Coalition Formation and the Inclusion of Green Parties in Swedish Local Government , 2001 .

[9]  Randall Davis,et al.  Frameworks for Cooperation in Distributed Problem Solving , 1988, IEEE Transactions on Systems, Man, and Cybernetics.

[10]  Katia P. Sycara,et al.  Customer coalitions in the electronic marketplace , 2000, AGENTS '00.

[11]  Samir Aknine,et al.  A multi-agent method for forming and dynamic restructuring of pareto optimal coalitions , 2002, AAMAS '02.

[12]  Barbara Messing,et al.  An Introduction to MultiAgent Systems , 2002, Künstliche Intell..

[13]  Samir Aknine,et al.  An Extended Multi-Agent Negotiation Protocol , 2004, Autonomous Agents and Multi-Agent Systems.

[14]  Nicholas R. Jennings,et al.  Distributing Coalitional Value Calculations among Cooperative Agents , 2005, AAAI.

[15]  Leopold A. Ziegler,et al.  Evolutionary Systems Design: Policy Making Under Complexity and Group Decision Support Systems , 1989 .

[16]  Samir Aknine,et al.  A Multi-Agent Coalition Formation Method Based on Preference Models , 2004 .

[17]  Sandip Sen,et al.  Searching for optimal coalition structures , 2000, Proceedings Fourth International Conference on MultiAgent Systems.

[18]  Gerhard Weiss,et al.  Multiagent Systems , 1999 .

[19]  Sarit Kraus,et al.  Coalition formation with uncertain heterogeneous information , 2003, AAMAS '03.

[20]  Michael Wooldridge,et al.  Introduction to multiagent systems , 2001 .

[21]  Anatol Rapoport,et al.  Theories of Coalition Formation , 1998 .

[22]  Kristina Lerman,et al.  Coalition formation for large-scale electronic markets , 2000, Proceedings Fourth International Conference on MultiAgent Systems.

[23]  Moshe Tennenholtz,et al.  On the Emergence of Social Conventions: Modeling, Analysis, and Simulations , 1997, Artif. Intell..

[24]  Jeffrey S. Rosenschein,et al.  Mechanisms for Automated Negotiation in State Oriented Domains , 1996, J. Artif. Intell. Res..

[25]  Sascha Ossowski,et al.  Co-ordination in Artificial Agent Societies , 1998, Lecture Notes in Computer Science.

[26]  Victor Lesser,et al.  Negotiation among self-interested computationally limited agents , 1996 .

[27]  Ira Rudowsky,et al.  Intelligent Agents , 2004, Commun. Assoc. Inf. Syst..

[28]  Sarit Kraus,et al.  The advantages of compromising in coalition formation with incomplete information , 2004, Proceedings of the Third International Joint Conference on Autonomous Agents and Multiagent Systems, 2004. AAMAS 2004..