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Complements and substitutes in sequential auctions: the case of water auctions

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  • Javier D. Donna
  • José†Antonio Espín†Sánchez

Abstract

We use data on sequential water auctions to estimate demand when units are complements or substitutes. A sequential English auction model determines the estimating structural equations. When units are complements, one bidder wins all units by paying a high price for the first unit, thus deterring others from bidding on subsequent units. When units are substitutes, different bidders win the units with positive probability, paying prices similar in magnitude. We recover individual demand consistent with this stark pattern of outcomes and confirm it is not collusive but consistent with noncooperative behavior. Demand estimates are biased if one ignores these features.

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  • Javier D. Donna & José†Antonio Espín†Sánchez, 2018. "Complements and substitutes in sequential auctions: the case of water auctions," RAND Journal of Economics, RAND Corporation, vol. 49(1), pages 87-127, March.
    • Handle: RePEc:bla:randje:v:49:y:2018:i:1:p:87-127
    DOI: 10.1111/1756-2171.12221
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    1. Liu, Qingmin, 2011. "Equilibrium of a sequence of auctions when bidders demand multiple items," Economics Letters, Elsevier, vol. 112(2), pages 192-194, August.
    2. Jakub Kastl, 2011. "Discrete Bids and Empirical Inference in Divisible Good Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 974-1014.
    3. Cramton, Peter & Schwartz, Jesse A, 2000. "Collusive Bidding: Lessons from the FCC Spectrum Auctions," Journal of Regulatory Economics, Springer, vol. 17(3), pages 229-252, May.
    4. Laffont, Jean-Jacques & Ossard, Herve & Vuong, Quang, 1995. "Econometrics of First-Price Auctions," Econometrica, Econometric Society, vol. 63(4), pages 953-980, July.
    5. Prithwis Gupta, 1975. "A general method of correction for age misreporting in census populations," Demography, Springer;Population Association of America (PAA), vol. 12(2), pages 303-312, May.
    6. Bernhard Rauch & Max Göttsche & Gernot Brähler & Stefan Engel, 2011. "Fact and Fiction in EU‐Governmental Economic Data," German Economic Review, Verein für Socialpolitik, vol. 12(3), pages 243-255, August.
    7. Palfrey, Thomas R, 1983. "Bundling Decisions by a Multiproduct Monopolist with Incomplete Information," Econometrica, Econometric Society, vol. 51(2), pages 463-483, March.
    8. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-599, June.
      • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
    9. Ashenfelter, Orley & Genesove, David, 1992. "Testing for Price Anomalies in Real-Estate Auctions," American Economic Review, American Economic Association, vol. 82(2), pages 501-505, May.
    10. Jane Black & David de Meza, 1992. "Systematic Price Differences Between Successive Auctionsare no Anomaly," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(4), pages 607-628, December.
    11. Joachim R. Groeger, 2014. "A Study Of Participation In Dynamic Auctions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 1129-1154, November.
    12. Donna, Javier & Espin-Sanchez, Jose, 2014. "The Illiquidity of Water Markets," MPRA Paper 55078, University Library of Munich, Germany.
    13. Catherine D. Wolfram, 1998. "Strategic Bidding in a Multiunit Auction: An Empirical Analysis of Bids to Supply Electricity in England and Wales," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 703-725, Winter.
    14. Rosa Abrantes-Metz & Sofia Villas-Boas & George Judge, 2011. "Tracking the Libor rate," Applied Economics Letters, Taylor & Francis Journals, vol. 18(10), pages 893-899.
    15. Paul Milgrom, 2000. "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 245-272, April.
    16. Robert Porter, 2005. "Detecting Collusion," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 26(2), pages 147-167, December.
    17. Thomas D. Jeitschko & Elmar Wolfstetter, 2002. "Scale Economies and the Dynamics of Recurring Auctions," Economic Inquiry, Western Economic Association International, vol. 40(3), pages 403-414, July.
    18. Bernhardt, Dan & Scoones, David, 1994. "A Note on Sequential Auctions," American Economic Review, American Economic Association, vol. 84(3), pages 653-657, June.
    19. Mar Reguant, 2014. "Complementary Bidding Mechanisms and Startup Costs in Electricity Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1708-1742.
    20. Philip A. Haile, 2001. "Auctions with Resale Markets: An Application to U.S. Forest Service Timber Sales," American Economic Review, American Economic Association, vol. 91(3), pages 399-427, June.
    21. Mireia Jofre-Bonet & Martin Pesendorfer, 2003. "Estimation of a Dynamic Auction Game," Econometrica, Econometric Society, vol. 71(5), pages 1443-1489, September.
    22. Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2007. "Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords," American Economic Review, American Economic Association, vol. 97(1), pages 242-259, March.
    23. Ashenfelter, Orley, 1989. "How Auctions Work for Wine and Art," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 23-36, Summer.
    24. Javier D. Donna & José†Antonio Espín†Sánchez, 2018. "Complements and substitutes in sequential auctions: the case of water auctions," RAND Journal of Economics, RAND Corporation, vol. 49(1), pages 87-127, March.
    25. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    26. Baker, Michael, 1992. "Digit preference in CPS unemployment data," Economics Letters, Elsevier, vol. 39(1), pages 117-121, May.
    27. Matthew Backus & Tom Blake & Steven Tadelis, 2015. "Cheap Talk, Round Numbers, and the Economics of Negotiation," NBER Working Papers 21285, National Bureau of Economic Research, Inc.
    28. Kagel, John H. & Levin, Dan, 2005. "Multi-unit demand auctions with synergies: behavior in sealed-bid versus ascending-bid uniform-price auctions," Games and Economic Behavior, Elsevier, vol. 53(2), pages 170-207, November.
    29. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
    30. Susan Athey & Jonathan Levin & Enrique Seira, 2011. "Comparing open and Sealed Bid Auctions: Evidence from Timber Auctions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(1), pages 207-257.
    31. Bradley J Larsen, 2021. "The Efficiency of Real-World Bargaining: Evidence from Wholesale Used-Auto Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(2), pages 851-882.
    32. James J. Anton & Dennis A. Yao, 1987. "Second Sourcing and the Experience Curve: Price Competition in Defense Procurement," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 57-76, Spring.
    33. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October.
    34. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June.
    35. Hickman Brent R. & Hubbard Timothy P. & Sağlam Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Journal of Econometric Methods, De Gruyter, vol. 1(1), pages 67-106, August.
    36. Baldwin, Laura H & Marshall, Robert C & Richard, Jean-Francois, 1997. "Bidder Collusion at Forest Service Timber Sales," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 657-699, August.
    37. Mark Armstrong, 2000. "Optimal Multi-Object Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 455-481.
    38. 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.
    39. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
    40. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Tacit collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 114(1), pages 153-169, January.
    41. Kandel, Shmuel & Sarig, Oded & Wohl, Avi, 2001. "Do investors prefer round stock prices? Evidence from Israeli IPO auctions," Journal of Banking & Finance, Elsevier, vol. 25(8), pages 1543-1551, August.
    42. Cramton Peter & Schwartz Jesse A, 2002. "Collusive Bidding in the FCC Spectrum Auctions," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 1(1), pages 1-20, December.
    43. John Asker, 2010. "A Study of the Internal Organization of a Bidding Cartel," American Economic Review, American Economic Association, vol. 100(3), pages 724-762, June.
    44. Levin, Jonathan, 1997. "An Optimal Auction for Complements," Games and Economic Behavior, Elsevier, vol. 18(2), pages 176-192, February.
    45. Donna, Javier & Espin Sanchez, Jose, 2014. "Let the Punishment Fit the Criminal," MPRA Paper 67003, University Library of Munich, Germany.
    46. Kagel, John H & Levin, Dan, 2001. "Behavior in Multi-unit Demand Auctions: Experiments with Uniform Price and Dynamic Vickrey Auctions," Econometrica, Econometric Society, vol. 69(2), pages 413-454, March.
    47. Donald, Stephen G. & Paarsch, Harry J., 1996. "Identification, Estimation, and Testing in Parametric Empirical Models of Auctions within the Independent Private Values Paradigm," Econometric Theory, Cambridge University Press, vol. 12(3), pages 517-567, August.
    48. Branco, Fernando, 1997. "Sequential auctions with synergies: An example," Economics Letters, Elsevier, vol. 54(2), pages 159-163, February.
    49. James W. Roberts, 2009. "Unobserved Heterogeneity and Reserve Prices in Auctions," Working Papers 10-80, Duke University, Department of Economics.
    50. von der Fehr, Nils-Henrik Morch, 1994. "Predatory Bidding in Sequential Auctions," Oxford Economic Papers, Oxford University Press, vol. 46(3), pages 345-356, July.
    51. Philip A. Haile & Elie Tamer, 2003. "Inference with an Incomplete Model of English Auctions," Journal of Political Economy, University of Chicago Press, vol. 111(1), pages 1-51, February.
    52. Zulehner, Christine, 2009. "Bidding behavior in sequential cattle auctions," International Journal of Industrial Organization, Elsevier, vol. 27(1), pages 33-42, January.
    53. Peter Cramton & Yoav Shoham & Richard Steinberg (ed.), 2006. "Combinatorial Auctions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033429, December.
    54. Graham, Daniel A & Marshall, Robert C, 1987. "Collusive Bidder Behavior at Single-Object Second-Price and English Auctions," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1217-1239, December.
    55. Ansley Coale & Shaomin Li, 1991. "The Effect of Age Misreporting in China on the Calculation of Mortality Rates at Very High Ages," Demography, Springer;Population Association of America (PAA), vol. 28(2), pages 293-301, May.
    56. Hendricks, Kenneth & Porter, Robert H, 1988. "An Empirical Study of an Auction with Asymmetric Information," American Economic Review, American Economic Association, vol. 78(5), pages 865-883, December.
    57. Matthew Gentzkow, 2007. "Valuing New Goods in a Model with Complementarity: Online Newspapers," American Economic Review, American Economic Association, vol. 97(3), pages 713-744, June.
    58. Robert H. Porter & J. Douglas Zona, 1999. "Ohio School Milk Markets: An Analysis of Bidding," RAND Journal of Economics, The RAND Corporation, vol. 30(2), pages 263-288, Summer.
    59. Martin Pesendorfer, 2000. "A Study of Collusion in First-Price Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 381-411.
    60. Engelbrecht-Wiggans, Richard, 1994. "Sequential auctions of stochastically equivalent objects," Economics Letters, Elsevier, vol. 44(1-2), pages 87-90.
    61. Marshall Robert C. & Raiff Matthew E. & Richard Jean-Francois & Schulenberg Steven P., 2006. "The Impact of Delivery Synergies on Bidding in the Georgia School Milk Market," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 6(1), pages 1-51, February.
    62. Neil Gandal, 1997. "Sequential Auctions of Interdependent Objects: Israeli Cable Television Licenses," Journal of Industrial Economics, Wiley Blackwell, vol. 45(3), pages 227-244, September.
    63. Gandal, Neil, 1997. "Sequential Auctions of Interdependent Objects: Israeli Cable Television Licenses," Journal of Industrial Economics, Wiley Blackwell, vol. 45(3), pages 227-244, September.
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    Cited by:

    1. Jaworski, Taylor, 2020. "Specification and structure in economic history," Explorations in Economic History, Elsevier, vol. 77(C).
    2. Javier D. Donna & José†Antonio Espín†Sánchez, 2018. "Complements and substitutes in sequential auctions: the case of water auctions," RAND Journal of Economics, RAND Corporation, vol. 49(1), pages 87-127, March.
    3. Browne, Oliver R. & Ji, Xinde James, 2023. "The Economic Value of Clarifying Property Rights: Evidence from Water in Idaho’s Snake River Basin," Journal of Environmental Economics and Management, Elsevier, vol. 119(C).
    4. Donna, Javier & Espin-Sanchez, Jose, 2014. "The Illiquidity of Water Markets," MPRA Paper 55078, University Library of Munich, Germany.
    5. Bougt, Daniel & Ghosh, Gagan & Liu, Heng, 2023. "Identification of interdependent values in sequential first-price auctions," International Journal of Industrial Organization, Elsevier, vol. 91(C).
    6. Corazzini, Luca & Galavotti, Stefano & Valbonesi, Paola, 2019. "An experimental study on sequential auctions with privately known capacities," Games and Economic Behavior, Elsevier, vol. 117(C), pages 289-315.
    7. Donna, Javier & Espin Sanchez, Jose, 2014. "Let the Punishment Fit the Criminal," MPRA Paper 67003, University Library of Munich, Germany.
    8. Javier D. Donna & José‐Antonio Espín‐Sánchez, 2021. "Water theft as social insurance: south‐eastern Spain, 1851–1948," Economic History Review, Economic History Society, vol. 74(3), pages 721-753, August.

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    More about this item

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • L10 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - General
    • L40 - Industrial Organization - - Antitrust Issues and Policies - - - General

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