Toward a Large Scale E-Market: A Greedy and Local Search Based Winner Determination

  • Naoki Fukuta
  • Takayuki Ito
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4570)


Combinatorial auction is one of the most popular market mechanisms and it has a huge effect on electronic markets and political strategies. On large scale e-markets, we need a good approximation algorithm for winner determination that is robust for changing the distribution and the number of bids in an auction. We proposed approximate algorithms for combinatorial auctions with massively large number of (more than 100,000) bids. In this paper, we show the robustness of our winner determination algorithms for combinatorial auctions with large number of bids. Experimental results demonstrate that our proposed algorithms are robust on changing the distribution and the number of bids in an auction. Finally, we shortly describe a theoretical limitation about our algorithms that concerns with giving truthfulness of the auction mechanism.


E-Commerce and Multi-agent systems 


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  1. 1.
    Sandholm, T., Suri, S., Gilpin, A., Levine, D.: Cabob: A fast optimal algorithm for winner determination in combinatorial auctions. Management Science 51(3), 374–390 (2005)CrossRefGoogle Scholar
  2. 2.
    McMillan, J.: Selling spectrum rights. The Journal of Economic Perspectives (1994)Google Scholar
  3. 3.
    Epstein, R., Henriquez, L., Catalan, J., Weintraub, G.Y., Martinez, C., Espejo, F.: A combinatorial auction improves school meals in chile: A case of or in developing counteries. International Transactions in Operational Research 11, 593–612 (2004)zbMATHCrossRefGoogle Scholar
  4. 4.
    Cramton, P., Shoham, Y., Steinberg, R.: Combinatorial Auctions. MIT Press, Cambridge (2005)Google Scholar
  5. 5.
    Fujishima, Y., Leyton-Brown, K., Shoham, Y.: Taming the computational complexity of combinatorial auctions: Optimal and approximate approarches. In: Proc. of the 16th International Joint Conference on Artificial Intelligence (IJCAI99), pp. 548–553 (1999)Google Scholar
  6. 6.
    Lehmann, D., O’Callaghan, L.I., Shoham, Y.: Truth revelation in rapid, approximately efficient combinatorial auctions. Journal of the ACM 49, 577–602 (2002)CrossRefGoogle Scholar
  7. 7.
    Zurel, E., Nisan, N.: An efficient approximate allocation algorithm for combinatorial auctions. In: Proc. of the Third ACM Conference on Electronic Commerce (EC 2001), pp. 125–136. ACM Press, New York (2001)CrossRefGoogle Scholar
  8. 8.
    Fukuta, N., Ito, T.: Towards better approximation of winner determination for combinatorial auctions with large number of bids. In: Proc. of The 2006, WIC/IEEE/ACM International Conference on Intelligent Agent Technology(IAT2006), pp. 618–621 (2006)Google Scholar
  9. 9.
    de Vries, S., Vohra, R.V.: Combinatorial auctions: A survey. International Transactions in Operational Research 15(3), 284–309 (2003)Google Scholar
  10. 10.
    Leyton-Brown, K., Pearson, M., Shoham, Y.: Towards a universal test suite for combinatorial auction algorithms. In: Proc. of EC 2000 (2000)Google Scholar
  11. 11.
    Dobzinski, S., Schapira, M.: An improved approximation algorithm for combinatorial auctions with submodular bidders. In: SODA ’06: Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm, pp. 1064–1073. ACM Press, New York (2006)CrossRefGoogle Scholar
  12. 12.
    Lavi, R., Swamy, C.: Truthful and near-optimal mechanism design via linear programming. In: 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS’05), pp. 595–604 (2005)Google Scholar
  13. 13.
    Hoos, H.H., Boutilier, C.: Solving combinatorial auctions using stochastic local search. In: Proc. of the AAAI2000 (2000)Google Scholar
  14. 14.
    Guo, Y., Lim, A., Rodrigues, B., Zhu, Y.: A non-exact approach and experiment studies on the combinatorial auction problem. In: Proc. of HICSS2005 (2005)Google Scholar

Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Naoki Fukuta
    • 1
  • Takayuki Ito
    • 2
  1. 1.Faculty of Informatics, Shizuoka University, 3 5 1 Johoku, Hamamatsu, Shizuoka 432-8011Japan
  2. 2.Graduate School of Engineering, Nagoya Institute of Technology, Gokiso, Showa-ku, Nagoya, 466-8555Japan

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