Abstract
When rational but myopic agents negotiate over the exchange of indivisible resources, any restriction to the negotiation protocol may prevent the system from converging to a socially optimal allocation in the general case. On the other hand, restrictions to the expressive power of the utility functions used by individual agents to represent their preferences can sometimes reduce the complexity of resource allocation problems and allow for very restricted negotiation protocols to work effectively. This paper reviews a number of recent theoretical results addressing these issues. Specifically, it analyses how the confinement to structurally simple deals and to certain restricted classes of cardinal utility functions can enable agents to move to an optimal allocation, while reducing the overall complexity of the process. The case of complex deals is also studied, and both restrictions on utility functions and specially designed protocols are proposed which drastically reduce the complexity of the resource allocation process.
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Yann Chevaleyre, Ulle Endriss, Jérôme Lang, and Nicolas Maudet. Negotiating over small bundles of resources. In Proceedings of the 4th International Joint Conference on Autonomous Agents and Multiagent Systems (AAMAS-2005), July 2005a. To appear.
Yann Chevaleyre, Ulle Endriss, and Nicolas Maudet. On maximal classes of utility functions for efficient one-to-one negotiation. In Proceedings of the 19th International Joint Conference on Artificial Intelligence (IJCAI-2005), August 2005b. To appear.
Yann Chevaleyre, Ulle Endriss, and Nicolas Maudet. Protocols for tractable resource allocation with k-additive utilities. In A. Herzig and Y. Lespérance, editors, Troisièmes Journées Francophones sur les Modèles Formels d’Interaction (MFI-2005). Cépaduès-Éditions, May 2005c. To appear.
Paul E. Dunne, Michael Wooldridge, and Michael Laurence. The complexity of contract negotiation. Artificial Intelligence, 2005. To appear.
Ulrich Endriss, Nicolas Maudet, Fariba Sadri, and Francesca Toni. On optimal outcomes of negotiations over resources. In Proceedings of the 2nd International Joint Conference on Autonomous Agents and Multiagent Systems (AAMAS-2003). ACM Press, 2003a.
Ulrich Endriss, Nicolas Maudet, Fariba Sadri, and Francesca Toni. Resource allocation in egalitarian agent societies. In A. Herzig, B. Chaib-draa, and Ph. Mathieu, editors, Secondes Journées Francophones sur les Modèles Formels d’Interaction (MFI-2003), pages 101–110. Cépaduès-Éditions, May 2003b.
P. C. Fishburn. Utility Theory for Decision Making. John Wiley and Sons, 1970.
Michel Grabisch. k-order additive discrete fuzzy measures and their representation. Fuzzy Sets and Systems, 92:167–189, 1997.
Gregory E. Kersten, Sunil J. Noronha, and Jeffrey Teich. Are all e-commerce negotiations auctions? In Proc. of the 4th Intl. Conf. on the Design of Cooperative Systems, 2000.
Hervé Moulin. Axioms of Cooperative Decision Making. Cambridge University Press, 1988.
Noam Nisan. Bidding and allocation in combinatorial auctions. In Proceedings of the ACM Conference on Electronic Commerce (EC-2000), 2000.
Jeffrey S. Rosenschein and Gilad Zlotkin. Rules of Encounter. MIT Press, 1994.
Michael H. Rothkopf, Aleksandar Pekeč, and Ronald M. Harstad. Computationally manageable combinational auctions. Management Science, 44(8): 1131–1147, 1998.
Tuomas W. Sandholm. Contract types for satisficing task allocation: I Theoretical results. In Proceedings of the AAAI Spring Symposium: Satisficing Models, 1998.
Amartya K. Sen. Collective Choice and Social Welfare. Holden Day, 1970.
R. G. Smith. The contract net protocol: High-level communication and control in a distributed problem solver. IEEE Transactions on Computers, C-29(12): 1104–1113, 1980.
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Chevaleyre, Y., Endriss, U., Maudet, N. (2006). Some Recent Results and Open Questions in Distributed Resource Allocation. In: Della Riccia, G., Dubois, D., Kruse, R., Lenz, HJ. (eds) Decision Theory and Multi-Agent Planning. CISM International Centre for Mechanical Sciences, vol 482. Springer, Vienna. https://doi.org/10.1007/3-211-38167-8_4
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DOI: https://doi.org/10.1007/3-211-38167-8_4
Publisher Name: Springer, Vienna
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