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Allocative and Informational Externalities in Auctions and Related Mechanisms

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  • Jehiel, Philippe
  • Moldovanu, Benny

Abstract

We study the effects of allocative and informational externalities in (multi-object) auctions and related mechanisms. Such externalities naturally arise in models that embed auctions in larger economic contexts. In particular, they appear when there is downstream interaction among bidders after the auction has closed. The endogeneity of valuations is the main driving force behind many new, specific phenomena with allocative externalities: even in complete information settings, traditional auction formats need not be efficient, and they may give rise to multiple equilibria and strategic non-participation. But, in the absence of informational externalities, welfare maximization can be achieved by Vickrey-Clarke- Groves mechanisms. Welfare-maximizing Bayes-Nash implementation is, however, impossible in multi-object settings with informational externalities, unless the allocation problem is separable across objects (e.g. there are no allocative externalities nor complementarities) or signals are one-dimensional. Moreover, implementation of any choice function via ex-post equilibrium is generically impossible with informational externalities and multidimensional types.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5558.

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Date of creation: Mar 2006
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Handle: RePEc:cpr:ceprdp:5558

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Keywords: auctions; externalities; interdependent values;

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  1. Klemperer, Paul, 2002. "How (not) to run auctions: The European 3G telecom auctions," European Economic Review, Elsevier, vol. 46(4-5), pages 829-845, May.
  2. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, MIT Press, vol. 115(2), pages 341-388, May.
  3. Motty Perry & Philip J. Reny, 2002. "An Efficient Auction," Econometrica, Econometric Society, vol. 70(3), pages 1199-1212, May.
  4. Jehiel, Phillipe & Moldovanu, Benny, 1997. "Resale Markets and the Assignment of Property Rights," Sonderforschungsbereich 504 Publications 97-05, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  5. d'ASPREMONT, Claude & GERARD-VARET, Louis-André, . "Incentives and incomplete information," CORE Discussion Papers RP -354, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-29, September.
  7. Jeroen M. Swinkels & Wolfgang Pesendorfer, 2000. "Efficiency and Information Aggregation in Auctions," American Economic Review, American Economic Association, vol. 90(3), pages 499-525, June.
  8. Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Microeconomics 9903002, EconWPA.
  9. Mailath, George J. & Zemsky, Peter, 1991. "Collusion in second price auctions with heterogeneous bidders," Games and Economic Behavior, Elsevier, vol. 3(4), pages 467-486, November.
  10. Kamien, Morton I & Tauman, Yair, 1986. "Fees versus Royalties and the Private Value of a Patent," The Quarterly Journal of Economics, MIT Press, vol. 101(3), pages 471-91, August.
  11. Vasiliki Skreta, 2005. "Optimal Auction Design for Multiple Objects with Externalities," UCLA Economics Online Papers 345, UCLA Department of Economics.
  12. Richard McLean & Andrew Postlewaite, 2004. "Informational Size and Efficient Auctions," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 809-827.
  13. Moldovanu, Benny & Fieseler, Karsten & Kittsteiner, Thomas, 1999. "Partnerships, Lemons and Efficient Trade," Sonderforschungsbereich 504 Publications 01-18, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  14. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-61, March.
  15. Maeda, Akira, 2003. "The Emergence of Market Power in Emission Rights Markets: The Role of Initial Permit Distribution," Journal of Regulatory Economics, Springer, vol. 24(3), pages 293-314, November.
  16. Thomas G. McGuire & Michael H. Riordan, 1991. "Incomplete Information and Optimal Market Structure: Public Purchases from Private Providers," Papers 0010, Boston University - Industry Studies Programme.
  17. Das Varma, Gopal, 2003. "Bidding for a process innovation under alternative modes of competition," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 15-37, January.
  18. Kittsteiner, Thomas, 2000. "Partnerships and Double Auctions with Interdependent Valuations," Sonderforschungsbereich 504 Publications 01-15, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  19. Heidrun C. Hoppe & Philippe Jehiel & Benny Moldovanu, 2006. "License Auctions and Market Structure," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(2), pages 371-396, 06.
  20. Dirk Bergemann & Stephen Morris, 2006. "Ex Post Implementation," Levine's Bibliography 122247000000001110, UCLA Department of Economics.
  21. Palfrey, Thomas R, 1983. "Bundling Decisions by a Multiproduct Monopolist with Incomplete Information," Econometrica, Econometric Society, vol. 51(2), pages 463-83, March.
  22. Hongwei Gui & Rudolf M¨uller & Rakesh V. Vohra, 2004. "Dominant Strategy Mechanisms with Multidimensional Types," Discussion Papers 1392, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  23. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu & William R. Zame, 2005. "The Limits of Ex-Post Implementation," UCLA Economics Working Papers 839, UCLA Department of Economics.
  24. Thomas Kittsteiner & Benny Moldovanu, 2005. "Priority Auctions and Queue Disciplines That Depend on Processing Time," Management Science, INFORMS, vol. 51(2), pages 236-248, February.
  25. Robert B. Wilson, 1967. "Competitive Bidding with Asymmetric Information," Management Science, INFORMS, vol. 13(11), pages 816-820, July.
  26. David P�rez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December.
  27. Roger B. Myerson & Mark A. Satterthwaite, 1981. "Efficient Mechanisms for Bilateral Trading," Discussion Papers 469S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  28. S. Viswanathan & S. Brusco & G. Lopomo, 2004. "Mergers Mechanisms," Econometric Society 2004 North American Winter Meetings 317, Econometric Society.
  29. Stephen Morris & Dirk Bergemann, 2004. "Robust Mechanism Design," Yale School of Management Working Papers ysm380, Yale School of Management.
  30. Jehiel, Phillipe & Moldovanu, Benny, 1997. "Auctions with Downstream Interaction among Buyers," Sonderforschungsbereich 504 Publications 97-06, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  31. Laffont & Martimort, 1997. "Collusion under asymmetric information," Working Papers 152574, Institut National de la Recherche Agronomique, France.
  32. Jehiel, Philippe & Moldovanu, Benny, 2001. "Efficient Design with Interdependent Valuations," Econometrica, Econometric Society, vol. 69(5), pages 1237-59, September.
  33. Katz, Michael L & Shapiro, Carl, 1986. "How to License Intangible Property," The Quarterly Journal of Economics, MIT Press, vol. 101(3), pages 567-89, August.
  34. Sorana, Valter, 2000. "Auctions for Universal Service Subsidies," Journal of Regulatory Economics, Springer, vol. 18(1), pages 33-58, July.
  35. Krishna, Vijay, 2003. "Asymmetric English auctions," Journal of Economic Theory, Elsevier, vol. 112(2), pages 261-288, October.
  36. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  37. Lawrence M. Ausubel & Paul Milgrom, 2002. "Ascending Auctions with Package Bidding," Working Papers 02004, Stanford University, Department of Economics.
  38. Paul Klemperer & Jeremy Bulow, 1998. "Toeholds and Takeovers," Economics Series Working Papers 1998-W04, University of Oxford, Department of Economics.
  39. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  40. Philippe Jehiel & Moritz Meyer-Ter-Vehn & Benny Moldovanu, 2006. "Mixed Bundling Auctions," Levine's Bibliography 122247000000001123, UCLA Department of Economics.
  41. Katharine E. Rockett, 1990. "Choosing the Competition and Patent Licensing," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 161-171, Spring.
  42. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-57, November.
  43. Krishna, K., 1990. "Auctions with Endogenous Valuations: The Persistence of Monopoly Revisited," Papers 472, Stockholm - International Economic Studies.
  44. Gomes, Armando R & Jehiel, Philippe, 2001. "Dynamic Processes of Social and Economic Interactions: On the Persistence of Inefficiencies," CEPR Discussion Papers 3012, C.E.P.R. Discussion Papers.
  45. Anton, James J. & Vander Weide, James H. & Vettas, Nikolaos, 2002. "Entry auctions and strategic behavior under cross-market price constraints," International Journal of Industrial Organization, Elsevier, vol. 20(5), pages 611-629, May.
  46. Wilson, Robert, 1979. "Auctions of Shares," The Quarterly Journal of Economics, MIT Press, vol. 93(4), pages 675-89, November.
  47. Olivier Compte & Philippe Jehiel, 2004. "Inefficiencies in Bargaining: Departing from Akerlof and Myerson-Satterthwaite," Levine's Bibliography 122247000000000744, UCLA Department of Economics.
  48. repec:wop:humbsf:2000-72 is not listed on IDEAS
  49. Akerlof, George A, 1970. "The Market for 'Lemons': Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, MIT Press, vol. 84(3), pages 488-500, August.
  50. Matthew O. Jackson, 2002. "Efficiency and Information Aggregation in Auctions with Costly Information," Microeconomics 0211012, EconWPA.
  51. Ledyard, John O., 1978. "Incentive compatibility and incomplete information," Journal of Economic Theory, Elsevier, vol. 18(1), pages 171-189, June.
  52. Armstrong, Mark, 2000. "Optimal Multi-object Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 455-81, July.
  53. Johnson, Scott & Pratt, John W & Zeckhauser, Richard J, 1990. "Efficiency Despite Mutually Payoff-Relevant Private Information: The Finite Case," Econometrica, Econometric Society, vol. 58(4), pages 873-900, July.
  54. Indranil Chakraborty, 1999. "Bundling decisions for selling multiple objects," Economic Theory, Springer, vol. 13(3), pages 723-733.
  55. Neeman, Zvika, 2004. "The relevance of private information in mechanism design," Journal of Economic Theory, Elsevier, vol. 117(1), pages 55-77, July.
  56. Bagwell,K. & Mavroidis,P.C. & Staiger,R.W., 2003. "The case for auctioning countermeasures in the WTO," Working papers 14, Wisconsin Madison - Social Systems.
  57. Bernard Caillaud & Philippe Jehiel, 1998. "Collusion in Auctions with Externalities," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 680-702, Winter.
  58. 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.
  59. Philippe Jehiel & Benny Moldovanu, 2004. "The Design of an Efficient Private Industry," Journal of the European Economic Association, MIT Press, vol. 2(2-3), pages 516-525, 04/05.
  60. Philippe Jehiel & Benny Moldovanu, 1996. "Strategic Nonparticipation," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 84-98, Spring.
  61. John G. Riley & William Samuelson, 1979. "Optimal Auctions," UCLA Economics Working Papers 152, UCLA Department of Economics.
  62. Alboth, Dirk & Lerner, Anat & Shalev, Jonathan, 2001. " Profit Maximizing in Auctions of Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 501-25.
  63. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
  64. Gresik, Thomas A., 1991. "Ex ante incentive efficient trading mechanisms without the private valuation restriction," Journal of Economic Theory, Elsevier, vol. 55(1), pages 41-63, October.
  65. Ornelas, Emanuel & Turner, John L., 2007. "Efficient dissolution of partnerships and the structure of control," Games and Economic Behavior, Elsevier, vol. 60(1), pages 187-199, July.
  66. Gilbert, Richard J & Newbery, David M G, 1982. "Preemptive Patenting and the Persistence of Monopoly," American Economic Review, American Economic Association, vol. 72(3), pages 514-26, June.
  67. Auriol, Emmanuelle & Laffont, Jean-Jacques, 1992. "Regulation by Duopoly," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(3), pages 507-33, Fall.
  68. Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-19, July.
  69. Sushil Bikhchandani, 2004. "The Limits of Ex Post Implementation Revisited," Levine's Bibliography 122247000000000514, UCLA Department of Economics.
  70. Engelbrecht-Wiggans Richard, 1994. "Auctions with Price-Proportional Benefits to Bidders," Games and Economic Behavior, Elsevier, vol. 6(3), pages 339-346, May.
  71. Norbäck, Pehr-Johan & Persson, Lars, 2001. "Privatization and Foreign Competition," CEPR Discussion Papers 2735, C.E.P.R. Discussion Papers.
  72. Susan Athey & Philip A. Haile, 2006. "Empirical Models of Auctions," NBER Working Papers 12126, National Bureau of Economic Research, Inc.
  73. Hansen, Robert G, 1985. "Auctions with Contingent Payments," American Economic Review, American Economic Association, vol. 75(4), pages 862-65, September.
  74. Jacob K. Goeree & Emiel Maasland & Sander Onderstal & John L. Turner, 2005. "How (Not) to Raise Money," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 897-926, August.
  75. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
  76. Keith Waehrer, 2004. "Mechanisms for dividing labor and sharing revenue in joint ventures," Review of Economic Design, Springer, vol. 8(4), pages 465-477, 04.
  77. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
  78. Jeffrey C. Ely & Kim-Sau Chung, 2002. "Ex-Post Incentive Compatible Mechanism Design," Discussion Papers 1339, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  79. Gopal Das Varma, 2002. "Standard Auctions with Identity-Dependent Externalities," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 689-708, Winter.
  80. Holmstrom, Bengt, 1979. "Groves' Scheme on Restricted Domains," Econometrica, Econometric Society, vol. 47(5), pages 1137-44, September.
  81. Morgan John & Steiglitz Ken & Reis George, 2003. "The Spite Motive and Equilibrium Behavior in Auctions," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 2(1), pages 1-27, April.
  82. Eric Maskin, 2001. "Auctions and Efficiency," Economics Working Papers 0002, Institute for Advanced Study, School of Social Science.
  83. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  84. Aviad Heifetz & Zvika Neeman, 2006. "On the Generic (Im)Possibility of Full Surplus Extraction in Mechanism Design," Econometrica, Econometric Society, vol. 74(1), pages 213-233, 01.
  85. Philippe Jehiel & Benny Moldovanu, 2003. "An economic perspective on auctions," Economic Policy, CEPR & CES & MSH, vol. 18(36), pages 269-308, 04.
  86. Claudio Mezzetti, 2004. "Mechanism Design with Interdependent Valuations: Efficiency," Econometrica, Econometric Society, vol. 72(5), pages 1617-1626, 09.
  87. Hain, Roland & Mitra, Manipushpak, 2004. "Simple sequencing problems with interdependent costs," Games and Economic Behavior, Elsevier, vol. 48(2), pages 271-291, August.
  88. Gruner, Hans Peter & Kiel, Alexandra, 2004. "Collective decisions with interdependent valuations," European Economic Review, Elsevier, vol. 48(5), pages 1147-1168, October.
  89. Keith Waehrer, 1997. "Hazardous Facility Siting When Cost Information is Private: An Application of Multidimensional Mechanism Design," Game Theory and Information 9702004, EconWPA, revised 26 Feb 1997.
  90. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-99, June.
    • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
  91. Kirchkamp, Oliver & Moldovanu, Benny, 2004. "An experimental analysis of auctions with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 48(1), pages 54-85, July.
  92. Dasgupta, Partha S & Hammond, Peter J & Maskin, Eric S, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 185-216, April.
  93. Sudipto Dasgupta & Kevin Tsui, 2004. "Auctions with cross-shareholdings," Economic Theory, Springer, vol. 24(1), pages 163-194, 07.
  94. Isabelle Brocas, 2003. "Endogenous entry in auctions with negative externalities," Theory and Decision, Springer, vol. 54(2), pages 125-149, March.
  95. Robert, Jacques, 1991. "Continuity in auction design," Journal of Economic Theory, Elsevier, vol. 55(1), pages 169-179, October.
  96. Compte, Olivier, 2000. "On the Value of Competition in Procurement Auctions," Econometric Society World Congress 2000 Contributed Papers 0829, Econometric Society.
  97. Kamien, Morton I. & Oren, Shmuel S. & Tauman, Yair, 1992. "Optimal licensing of cost-reducing innovation," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 483-508.
  98. Goeree, Jacob K., 2003. "Bidding for the future: signaling in auctions with an aftermarket," Journal of Economic Theory, Elsevier, vol. 108(2), pages 345-364, February.
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Cited by:
  1. Schmitz, Patrick W., 2010. "Contractual solutions to hold-up problems with quality uncertainty and unobservable investments," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 807-816, September.
  2. Dennis Gaertner & Armin Schmutzler, 2006. "Merger Negotiations and Ex-Post Regret," SOI - Working Papers 0607, Socioeconomic Institute - University of Zurich, revised Dec 2007.
  3. Lamy, Laurent, 2012. "On minimal ascending auctions with payment discounts," Games and Economic Behavior, Elsevier, vol. 75(2), pages 990-999.
  4. Börgers, Tilman & Cox, Ingemar & Pesendorfer, Martin & Petricek, Vaclav, 2008. "Equilibrium Bids in Sponsored Search Auctions: Theory and Evidence," MPRA Paper 29125, University Library of Munich, Germany.
  5. Axel Ockenfels, 2008. "Marktdesign und Experimentelle Wirtschaftsforschung," Working Paper Series in Economics 41, University of Cologne, Department of Economics.
  6. Maarten Janssen & Vladimir A. Karamychev & Emiel Maasland, 2009. "Auctions with Flexible Entry Fees," Tinbergen Institute Discussion Papers 09-109/1, Tinbergen Institute.
  7. Csapó Gergely & Müller Rudolf, 2012. "Optimal mechanism design for the private supply of a public good," Research Memorandum 038, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  8. Maarten C.W. Janssen & Vladimir A. Karamychev, 2010. "Do auctions select efficient firms?," Economic Journal, Royal Economic Society, vol. 120(549), pages 1319-1344, December.
  9. Levy, Gilat & Razin, Ronny, 2013. "Dynamic legislative decision making when interest groups control the agenda," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1862-1890.
  10. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," PSE Working Papers halshs-00575076, HAL.
  11. Carbajal, Juan Carlos & McLennan, Andrew & Tourky, Rabee, 2013. "Truthful implementation and preference aggregation in restricted domains," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1074-1101.
  12. Schmitz, Patrick W., 2010. "On contractual solutions to hold-up problems with quality uncertainty and unobservable investments," MPRA Paper 23157, University Library of Munich, Germany.
  13. Janssen, Maarten C.W. & Karamychev, Vladimir A., 2009. "Auctions, aftermarket competition, and risk attitudes," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 274-285, March.
  14. Janssen, Maarten C.W. & Karamychev, Vladimir A. & Maasland, Emiel, 2011. "Auctions with flexible entry fees: A note," Games and Economic Behavior, Elsevier, vol. 72(2), pages 594-601, June.

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