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Simultaneous ascending auctions with complementarities and known budget constraints

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  • Sandro Brusco

    ()

  • Giuseppe Lopomo

    ()

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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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 38 (2009)
Issue (Month): 1 (January)
Pages: 105-124

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Handle: RePEc:spr:joecth:v:38:y:2009:i:1:p:105-124

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Related research

Keywords: Multiple-object auctions; Budget constraints; Complementarities; D44 [H];

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References

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  1. 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.
  2. 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.
  3. 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.
  4. Robert W. Rosenthal & Ruqu Wang, 1995. "Simultaneous Auctions with Synergies and Common Values," Papers 0060, Boston University - Industry Studies Programme.
  5. Englmaier, Florian & Guillén, Pablo & Llorente, Loreto & Onderstal, Sander & Sausgruber, Rupert, 2009. "The chopstick auction: A study of the exposure problem in multi-unit auctions," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 286-291, March.
  6. Brusco, Sandro & Lopomo, Giuseppe, 2002. "Collusion via Signalling in Simultaneous Ascending Bid Auctions with Heterogeneous Objects, with and without Complementarities," Review of Economic Studies, Wiley Blackwell, vol. 69(2), pages 407-36, April.
  7. Vijay Krishna & Robert Rosenthal, 1995. "Simultaneous Auctions with Synergies," Papers 0056, Boston University - Industry Studies Programme.
  8. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521551847.
  9. 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.
  10. Zheng, Charles Zhoucheng, 2006. "Jump Bidding and Overconcentration in Decentralized Simultaneous Ascending Auctions," Staff General Research Papers 12698, Iowa State University, Department of Economics.
  11. 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.
  12. 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.
  13. Sandro Brusco & Giuseppe Lopomo, 2004. "Simultaneous Ascending Bid Auctions with Privately Known Budget Constraints," Levine's Bibliography 122247000000000373, UCLA Department of Economics.
  14. 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.
  15. 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.
  16. Jehiel, Phillipe & Moldovanu, Benny & Stacchetti, E., 1997. "Multidimensional Mechanism Design for Auctions with Externalities," Sonderforschungsbereich 504 Publications 97-04, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  17. repec:ebl:ecbull:v:4:y:2004:i:8:p:1-14 is not listed on IDEAS
  18. 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.
  19. Rajiv Vohra & In-Koo Cho & Kevin Jewell, 2002. "A simple model of coalitional bidding," Economic Theory, Springer, vol. 19(3), pages 435-457.
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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. 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. 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.
  4. Kai Konrad, 2012. "Information alliances in contests with budget limits," Public Choice, Springer, vol. 151(3), pages 679-693, June.
  5. Alexey Malakhov & Rakesh Vohra, 2008. "Optimal auctions for asymmetrically budget constrained bidders," Review of Economic Design, Springer, vol. 12(4), pages 245-257, December.
  6. M. Yenmez, 2014. "Pricing in position auctions and online advertising," Economic Theory, Springer, vol. 55(1), pages 243-256, January.
  7. 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.
  8. Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.
  9. 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.
  10. George Deltas, 2009. "Introduction to the Symposium," Economic Theory, Springer, vol. 38(1), pages 1-7, January.
  11. Aner Sela & Reut Megidish, 2012. "Sequential Contests With Synergy And Budget Constraints," Working Papers 1212, Ben-Gurion University of the Negev, Department of Economics.
  12. 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.
  13. Reut Megidish & Aner Sela, 2014. "Sequential contests with synergy and budget constraints," Social Choice and Welfare, Springer, vol. 42(1), pages 215-243, January.

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