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A general characterization of interim efficient mechanisms for independent linear environments

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  • Ledyard, John
  • Palfrey, Thomas

Abstract

We consider the class of Bayesian environments with independent types, and utility functions which are both quasi-linear in a private good and linear in a one-dimensional private-value type parameter. We call these "independent linear environments". For these environments, we fully characterize interim efficient allocation rules which satisfy interim incentive compatibility and interim individual rationality constraints. We also prove that they correspond to decision rules based on virtual surplus maximization, together with the appropriate incentive taxes. We demonstrate how these techniques can be applied easily to the design of auctions, markets, bargaining rules, public good provision, and assignment problems.

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Bibliographic Info

Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1186.

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Length: 50 pages
Date of creation: Nov 2003
Date of revision:
Publication status: Published: Published in Journal of Economic Theory, 133 (2007) p. 441-466.
Handle: RePEc:clt:sswopa:1186

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Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
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Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
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Related research

Keywords: public goods; mechanism design; interim efficiency; incentive compatibility; private values;

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References

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  1. Schmitz, Patrick W, 1997. "Monopolistic Provision of Excludable Public Goods under Private Information," Public Finance = Finances publiques, , vol. 52(1), pages 89-101.
  2. John Ledyard & Thomas Palfrey, 2003. "The Approximation of Efficient Public Good Mechanisms by Simple Voting Schemes," Levine's Working Paper Archive 506439000000000103, David K. Levine.
  3. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-92, June.
  4. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
  5. Ledyard, John O. & Palfrey, Thomas R., . "Voting and Lottery Drafts as Efficient Public Goods Mechanisms," Working Papers 717, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Peter Cramton & Thomas R. Palfrey, 1995. "Ratifiable Mechanisms: Learning from Disagreement," Papers of Peter Cramton 95geb, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
  7. Peter Cramton & Robert Gibbons & Paul Klemperer, 1985. "Dissolving a Partnership Efficiently," Working papers 406, Massachusetts Institute of Technology (MIT), Department of Economics.
  8. Peter Cramton & Thomas R. Palfrey, 1991. "Cartel Enforcement with Uncertainty About Costs," Papers of Peter Cramton 90ier, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
  9. Harris, Milton & Raviv, Artur, 1981. "Allocation Mechanisms and the Design of Auctions," Econometrica, Econometric Society, vol. 49(6), pages 1477-99, November.
  10. 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.
  11. Makowski Louis & Mezzetti Claudio, 1994. "Bayesian and Weakly Robust First Best Mechanisms: Characterizations," Journal of Economic Theory, Elsevier, vol. 64(2), pages 500-519, December.
  12. Martin F. Hellwig, 2003. "Public-Good Provision with Many Participants," Review of Economic Studies, Wiley Blackwell, vol. 70(3), pages 589-614, 07.
  13. John O. Ledyard & Thomas R. Palfrey, 1999. "A Characterization of Interim Efficiency with Public Goods," Econometrica, Econometric Society, vol. 67(2), pages 435-448, March.
  14. Dudek, Maciej K. & Kim, Taesung & Ledyard, John O., 1995. "First Best Bayesian Privatization Mechanisms," Working Papers 896, California Institute of Technology, Division of the Humanities and Social Sciences.
  15. Norman,P., 2000. "Efficient mechanisms for public goods with use exclusions," Working papers 15, Wisconsin Madison - Social Systems.
  16. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
  17. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-819, November.
  18. Gueth,Werner & Hellwig,Martin, 1986. "The private supply of a public good," Discussion Paper Serie A 40, University of Bonn, Germany.
  19. Didier Laussel & Thomas R. Palfrey, 2003. "Efficient Equilibria in the Voluntary Contributions Mechanism with Private Information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(3), pages 449-478, 07.
  20. Cornelli, Francesca, 1996. "Optimal Selling Procedures with Fixed Costs," Journal of Economic Theory, Elsevier, vol. 71(1), pages 1-30, October.
  21. Guesnerie, Roger & Laffont, Jean-Jacques, 1984. "A complete solution to a class of principal-agent problems with an application to the control of a self-managed firm," Journal of Public Economics, Elsevier, vol. 25(3), pages 329-369, December.
  22. Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-15, September.
  23. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
  24. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  25. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
  26. Levin, Jonathan, 1997. "An Optimal Auction for Complements," Games and Economic Behavior, Elsevier, vol. 18(2), pages 176-192, February.
  27. Mailath, George J & Postlewaite, Andrew, 1990. "Asymmetric Information Bargaining Problems with Many Agents," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 351-67, July.
  28. Gresik, Thomas A., 1996. "Incentive-Efficient Equilibria of Two-Party Sealed-Bid Bargaining Games," Journal of Economic Theory, Elsevier, vol. 68(1), pages 26-48, January.
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Citations

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Cited by:
  1. Chakravarty, Surajeet & Kaplan, Todd R., 2006. "Optimal Allocation without Transfer Payments," MPRA Paper 18481, University Library of Munich, Germany, revised 02 Mar 2009.
  2. Stefano Barbieri & David A. Malueg, 2009. "Threshold Uncertainty in the Private-Information Subscription Game," Working Papers 0903, Tulane University, Department of Economics.
  3. Hanming Fang & Peter Norman, 2010. "Optimal Provision of Multiple Excludable Public Goods," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 1-37, November.
  4. Murat Yilmaz, 2010. "Auctioning a Discrete Public Good under Incomplete Information," Working Papers 2010/14, Bogazici University, Department of Economics.
  5. Ludwig Ensthaler & Thomas Giebe & Jianpei Li, 2014. "Speculative partnership dissolution with auctions," Review of Economic Design, Springer, vol. 18(2), pages 127-150, June.
  6. Serkan Kucuksenel, 2012. "Interim efficient auctions with interdependent valuations," Journal of Economics, Springer, vol. 106(1), pages 83-93, May.

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