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Simultaneous Ascending Auctions with Complementarities and Known Budget Constraints

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  • Sandro Brusco

    ()
    (Department of Economics, SUNY at Stony Brook)

  • Giuseppe Lopomo

    ()
    (The Fuqua School of Business, Duke University)

Abstract

We study simultaneous ascending auctions of identical objects when bidders are financially constrained and their valuations exhibit complementarities. We assume the budget constraints are known but the values for individual objects are private information, and characterize noncollusive equilibria. The equilibria exhibit the exposure problem. The bidder with the highest budget is more reluctant to bid, because the bidder with the lowest budget may end up pursuing only one object, thus preventing the realization of complementarities. In some states of the world both objects are assigned to the ‘poorer’ bidder although that bidder has a lower valuation. Classification number-JEL: D44,H.

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File URL: http://www.sunysb.edu/economics/research/papers/2005/budcomp.pdf
File Function: First version, 2005
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Bibliographic Info

Paper provided by Stony Brook University, Department of Economics in its series Department of Economics Working Papers with number 05-13.

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Date of creation: Aug 2005
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Handle: RePEc:nys:sunysb:05-13

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Postal: Stony Brook, NY 11794-4384
Phone: (631)632-7540
Fax: (631)632-7516
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Web page: http://www.stonybrook.edu/economics
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Keywords: Multiple—Object Auctions; Budget Constraints; Complementarities.;

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References

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  1. Krishna, V. & Rosenthal, R.W., 1995. "Simultaneous Auctions with Synergies," Papers 04-95-06, Pennsylvania State - Department of Economics.
  2. Zheng, Charles Zhoucheng, 2006. "Jump Bidding and Overconcentration in Decentralized Simultaneous Ascending Auctions," Staff General Research Papers 12698, Iowa State University, Department of Economics.
  3. Sandro Brusco & Giuseppe Lopomo, 2004. "Simultaneous Ascending Bid Auctions with Privately Known Budget Constraints," Levine's Bibliography 122247000000000373, UCLA Department of Economics.
  4. Sander Onderstal & Florian Englmaier & Pablo Guillen & Loreto Llorente & Rupert Sausgruber, 2004. "The Chopstick Auction: A Study of the Exposure Problem in Multi-Unit Auctions," Working Papers 2004.10, Fondazione Eni Enrico Mattei.
  5. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1999. "Multidimensional Mechanism Design for Auctions with Externalities," Journal of Economic Theory, Elsevier, vol. 85(2), pages 258-293, April.
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  7. repec:ebl:ecbull:v:4:y:2004:i:8:p:1-14 is not listed on IDEAS
  8. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521551847, October.
  9. Sandro Brusco & Giuseppe Lopomo, 2002. "Collusion via Signalling in Simultaneous Ascending Bid Auctions with Heterogeneous Objects, with and without Complementarities," Review of Economic Studies, Oxford University Press, vol. 69(2), pages 407-436.
  10. Richard Engelbrecht-Wiggans & Charles M. Kahn, 2005. "Low-Revenue Equilibria in Simultaneous Ascending-Bid Auctions," Management Science, INFORMS, vol. 51(3), pages 508-518, March.
  11. David J. Salant, 1997. "Up in the Air: GTE's Experience in the MTA Auction for Personal Communication Services Licenses," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 549-572, 09.
  12. Benoit, Jean-Pierre & Krishna, Vijay, 2001. "Multiple-Object Auctions with Budget Constrained Bidders," Review of Economic Studies, Wiley Blackwell, vol. 68(1), pages 155-79, January.
  13. Szentes, Balazs & Rosenthal, Robert W., 2003. "Three-object two-bidder simultaneous auctions: chopsticks and tetrahedra," Games and Economic Behavior, Elsevier, vol. 44(1), pages 114-133, July.
  14. Rajiv Vohra & In-Koo Cho & Kevin Jewell, 2002. "A simple model of coalitional bidding," Economic Theory, Springer, vol. 19(3), pages 435-457.
  15. Fang, Hanming & Parreiras, Sergio O., 2002. "Equilibrium of Affiliated Value Second Price Auctions with Financially Constrained Bidders: The Two-Bidder Case," Games and Economic Behavior, Elsevier, vol. 39(2), pages 215-236, May.
  16. Che, Yeon-Koo & Gale, Ian, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Wiley Blackwell, vol. 65(1), pages 1-21, January.
  17. Maskin, Eric S., 2000. "Auctions, development, and privatization: Efficient auctions with liquidity-constrained buyers," European Economic Review, Elsevier, vol. 44(4-6), pages 667-681, May.
  18. Szentes, Balazs & Rosenthal, Robert W., 2003. "Beyond chopsticks: Symmetric equilibria in majority auction games," Games and Economic Behavior, Elsevier, vol. 45(2), pages 278-295, November.
  19. Gian Albano & Fabrizio Germano & Stefano Lovo, 2006. "Ascending auctions for multiple objects: the case for the Japanese design," Economic Theory, Springer, vol. 28(2), pages 331-355, 06.
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Citations

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Cited by:
  1. Megidish, Reut & Sela, Aner, 2011. "Sequential Contests with Synergy and Budget Constraints," CEPR Discussion Papers 8383, C.E.P.R. Discussion Papers.
  2. Jacob K. Goeree & Yuanchuan Lien, 2009. "An equilibrium analysis of the simultaneous ascending auction," IEW - Working Papers 428, Institute for Empirical Research in Economics - University of Zurich.
  3. M. Yenmez, 2014. "Pricing in position auctions and online advertising," Economic Theory, Springer, vol. 55(1), pages 243-256, January.
  4. Kai Konrad, 2012. "Information alliances in contests with budget limits," Public Choice, Springer, vol. 151(3), pages 679-693, June.
  5. Reut Megidish & Aner Sela, 2014. "Sequential contests with synergy and budget constraints," Social Choice and Welfare, Springer, vol. 42(1), pages 215-243, January.
  6. Giuseppe Lopomo & Leslie M. Marx & David McAdams & Brian Murray, 2011. "Carbon Allowance Auction Design: An Assessment of Options for the United States," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 5(1), pages 25-43, Winter.
  7. Gerard van der Laan & Zaifu Yang, 2011. "An Ascending Multi-Item Auction with Financially Constrained Bidders," Discussion Papers 11/04, Department of Economics, University of York.
  8. George Deltas, 2009. "Introduction to the Symposium," Economic Theory, Springer, vol. 38(1), pages 1-7, January.
  9. David McAdams & Giuseppe Lopomo & Leslie Marx & Brian Murray, . "Carbon Allowance Auction Design: An Assessment of Options for the U.S," Working Papers 10-64, Duke University, Department of Economics.
  10. Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.
  11. Zheng, Charles Z., 2012. "Jump bidding and overconcentration in decentralized simultaneous ascending auctions," Games and Economic Behavior, Elsevier, vol. 76(2), pages 648-664.
  12. Aner Sela & Reut Megidish, 2012. "Sequential Contests With Synergy And Budget Constraints," Working Papers 1212, Ben-Gurion University of the Negev, Department of Economics.
  13. Alexey Malakhov & Rakesh Vohra, 2008. "Optimal auctions for asymmetrically budget constrained bidders," Review of Economic Design, Springer, vol. 12(4), pages 245-257, December.

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