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A general characterization of interim efficient mechanisms for independent linear environments

  • Ledyard, John
  • Palfrey, Thomas

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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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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  1. Werner Güth & Martin Hellwig, 1986. "The private supply of a public good," Journal of Economics, Springer, vol. 46(1), pages 121-159, December.
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  4. Peter Norman, 2004. "Efficient Mechanisms for Public Goods with Use Exclusions," Review of Economic Studies, Wiley Blackwell, vol. 71(4), pages 1163-1188, October.
  5. Ledyard, John O. & Palfrey, Thomas R., 2000. "The Approximation of Efficient Public Good Mechanisms by Simple Voting Schemes," Working Papers 1092, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Peter Cramton & Robert Gibbons & Paul Klemperer, 1985. "Dissolving a Partnership Efficiently," Working papers 406, Massachusetts Institute of Technology (MIT), Department of Economics.
  7. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  8. 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.
  9. Laffont, Jean-Jacques & Martimort, David, 1998. "Mechanism Design with Collusion and Correlation," IDEI Working Papers 81, Institut d'Économie Industrielle (IDEI), Toulouse.
  10. 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.
  11. 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.
  12. 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.
  13. Martin F. Hellwig, 2003. "Public-Good Provision with Many Participants," Review of Economic Studies, Oxford University Press, vol. 70(3), pages 589-614.
  14. J. Riley & E. Maskin, 1981. "Optimal Auctions with Risk Averse Buyers," Working papers 311, Massachusetts Institute of Technology (MIT), Department of Economics.
  15. 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.
  16. Bengt Holmstrom & Roger B. Myerson, 1981. "Efficient and Durable Decision Rules with Incomplete Information," Discussion Papers 495, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. Cramton, Peter C. & Palfrey, Thomas R., 1990. "Ratifiable Mechanisms: Learning from Disagreement," Working Papers 731, California Institute of Technology, Division of the Humanities and Social Sciences.
  18. 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.
  19. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
  20. 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.
  21. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-92, June.
  22. Schmitz, Patrick W, 1997. "Monopolistic Provision of Excludable Public Goods under Private Information," Public Finance = Finances publiques, , vol. 52(1), pages 89-101.
  23. Levin, Jonathan, 1997. "An Optimal Auction for Complements," Games and Economic Behavior, Elsevier, vol. 18(2), pages 176-192, February.
  24. 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.
  25. 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.
  26. Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-15, September.
  27. Harris, Milton & Raviv, Artur, 1981. "Allocation Mechanisms and the Design of Auctions," Econometrica, Econometric Society, vol. 49(6), pages 1477-99, November.
  28. 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.
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