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Multiagent resource allocation in k-additive domains: preference representation and complexity

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  • Yann Chevaleyre
  • Ulle Endriss
  • Sylvia Estivie
  • Nicolas Maudet

Abstract

We study a framework for multiagent resource allocation where autonomous software agents negotiate over the allocation of bundles of indivisible resources. Connections to well-known combinatorial optimisation problems, including the winner determination problem in combinatorial auctions, shed light on the computational complexity of the framework. We give particular consideration to scenarios where the preferences of agents are modelled in terms of k-additive utility functions, i.e. scenarios where synergies between different resources are restricted to bundles of at most k items. Copyright The Author(s) 2008

Suggested Citation

  • Yann Chevaleyre & Ulle Endriss & Sylvia Estivie & Nicolas Maudet, 2008. "Multiagent resource allocation in k-additive domains: preference representation and complexity," Annals of Operations Research, Springer, vol. 163(1), pages 49-62, October.
    • Handle: RePEc:spr:annopr:v:163:y:2008:i:1:p:49-62:10.1007/s10479-008-0335-0
    DOI: 10.1007/s10479-008-0335-0
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    1. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, October.
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    3. Peter Cramton & Yoav Shoham & Richard Steinberg (ed.), 2006. "Combinatorial Auctions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033429, April.
    4. Michael H. Rothkopf & Aleksandar Pekev{c} & Ronald M. Harstad, 1998. "Computationally Manageable Combinational Auctions," Management Science, INFORMS, vol. 44(8), pages 1131-1147, August.
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    Cited by:

    1. Takanori Maehara & Kazuo Murota, 2015. "Valuated matroid-based algorithm for submodular welfare problem," Annals of Operations Research, Springer, vol. 229(1), pages 565-590, June.

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