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Auction Design for the Efficient Allocation of Service Capacity Under Congestion

Author

Listed:
  • Jorge Barrera

    (Department of Systems and Information Engineering, University of Virginia, Charlottesville, Virginia, 22904)

  • Alfredo Garcia

    (Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida, 32611)

Abstract

We consider the problem of efficiently allocating the capacity of a number of service facilities (prone to congestion) to a set of users with private information regarding their willingness to pay for different combinations of throughput versus latency. Auction mechanisms can be used to schedule the service capacity of available facilities. However, the interdependency of users’ valuations implies that simple uniform price adjustment processes (e.g., tatonnement) either fail to effectively clear or are subject to strategic manipulation. In this paper, we propose an iterative auction design and show that (i) it is efficient (i.e., the auction closes with the allocation of service that maximizes the social welfare) and (ii) it is strategy-proof, that is, it is a dominant strategy for users to truthfully reveal their demand for service capacity throughout the auction.

Suggested Citation

  • Jorge Barrera & Alfredo Garcia, 2015. "Auction Design for the Efficient Allocation of Service Capacity Under Congestion," Operations Research, INFORMS, vol. 63(1), pages 151-165, February.
  • Handle: RePEc:inm:oropre:v:63:y:2015:i:1:p:151-165
    DOI: 10.1287/opre.2014.1333
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    References listed on IDEAS

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    1. Bikhchandani, Sushil & Ostroy, Joseph M., 2006. "Ascending price Vickrey auctions," Games and Economic Behavior, Elsevier, vol. 55(2), pages 215-241, May.
    2. Motty Perry & Philip J. Reny, 2002. "An Efficient Auction," Econometrica, Econometric Society, vol. 70(3), pages 1199-1212, May.
    3. Michael H. Rothkopf, 2007. "Thirteen Reasons Why the Vickrey-Clarke-Groves Process Is Not Practical," Operations Research, INFORMS, vol. 55(2), pages 191-197, April.
    4. Leon Yang Chu & Zuo-Jun Max Shen, 2008. "Truthful Double Auction Mechanisms," Operations Research, INFORMS, vol. 56(1), pages 102-120, February.
    5. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    6. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    7. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
    8. Sushil Bikhchandani & Sven de Vries & James Schummer & Rakesh V. Vohra, 2011. "An Ascending Vickrey Auction for Selling Bases of a Matroid," Operations Research, INFORMS, vol. 59(2), pages 400-413, April.
    9. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
    10. Mishra, Debasis & Parkes, David C., 2009. "Multi-item Vickrey-Dutch auctions," Games and Economic Behavior, Elsevier, vol. 66(1), pages 326-347, May.
    11. Gul, Faruk & Stacchetti, Ennio, 2000. "The English Auction with Differentiated Commodities," Journal of Economic Theory, Elsevier, vol. 92(1), pages 66-95, May.
    12. Krzysztof C. Kiwiel & Torbjörn Larsson & P. O. Lindberg, 2007. "Lagrangian Relaxation via Ballstep Subgradient Methods," Mathematics of Operations Research, INFORMS, vol. 32(3), pages 669-686, August.
    13. Peter Cramton & Yoav Shoham & Richard Steinberg (ed.), 2006. "Combinatorial Auctions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033429, April.
    14. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    15. Saari, Donald G, 1985. "Iterative Price Mechanisms," Econometrica, Econometric Society, vol. 53(5), pages 1117-1131, September.
    16. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
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    Cited by:

    1. Minghui Lai & Weili Xue & Qian Hu, 2019. "An Ascending Auction for Freight Forwarder Collaboration in Capacity Sharing," Transportation Science, INFORMS, vol. 53(4), pages 1175-1195, July.
    2. Lai, Minghui & Cai, Xiaoqiang & Hu, Qian, 2017. "An iterative auction for carrier collaboration in truckload pickup and delivery," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 107(C), pages 60-80.
    3. Ma, Xiaoyu & Huang, Feiteng & Li, Xue & Zhang, Jihong, 2024. "Optimal contract design in mobile service industry considering network congestion," International Journal of Production Economics, Elsevier, vol. 267(C).
    4. Zhong-Ping Li & Jian-Jun Wang & Ai-Chih Chang & Jim Shi, 2021. "Capacity reallocation via sinking high-quality resource in a hierarchical healthcare system," Annals of Operations Research, Springer, vol. 300(1), pages 97-135, May.

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