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Efficient Mechanism Design

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Author Info
Vijay Krishna (Penn State University)
Motty Perry (The Hebrew niversity)

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Abstract

We study Bayesian mechanism design in situations where agents' information may be multi-dimensional, concentrating on mechanisms that lead to efficient allocations. Our main result is that a generalization of the well-known Vickrey-Clarke-Groves mechanism maximizes the planner's "revenue'' among all efficient mechanisms. This result is then used to study multiple object auctions in situations where bidders have privately known "demand curves'' and extended to include situations with complementarities across objects or externalities across bidders. We also illustrate how the main result may be used to analyze the possibility of allocating both private and public goods efficiently when budget balance considerations are important. The generalized VCG mechanism, therefore, serves to unify many results in mechansim design theory.

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Publisher Info
Paper provided by EconWPA in its series Game Theory and Information with number 9703010.

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Length: 24 pages
Date of creation: 25 Mar 1997
Date of revision: 28 Apr 1998
Handle: RePEc:wpa:wuwpga:9703010

Note: Type of Document - SciWord-LaTex; prepared on IBM PC ; to print on HP Laserjet 4; pages: 24 ; figures: None
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Related research
Keywords: Mechanism Design; Efficiency; Incentives; Auctions;

Other versions of this item:

Find related papers by JEL classification:
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

References listed on IDEAS
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  1. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January. [Downloadable!] (restricted)
  2. Fernando Branco, 1996. "Multiple unit auctions of an indivisible good," Economic Theory, Springer, vol. 8(1), pages 77-101.
  3. McMillan, John, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-62, Summer. [Downloadable!] (restricted)
  4. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April. [Downloadable!] (restricted)
    Other versions:
  5. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. Mookherjee, Dilip & Reichelstein, Stefan, 1992. "Dominant strategy implementation of Bayesian incentive compatible allocation rules," Journal of Economic Theory, Elsevier, vol. 56(2), pages 378-399, April. [Downloadable!] (restricted)
  8. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-38, March. [Downloadable!] (restricted)
  9. McAfee, R. Preston, 1991. "Efficient allocation with continuous quantities," Journal of Economic Theory, Elsevier, vol. 53(1), pages 51-74, February. [Downloadable!] (restricted)
  10. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July. [Downloadable!] (restricted)
  11. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-92, June. [Downloadable!] (restricted)
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  12. 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.
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  13. Mailath, George J & Postlewaite, Andrew, 1990. "Asymmetric Information Bargaining Problems with Many Agents," Review of Economic Studies, Blackwell Publishing, vol. 57(3), pages 351-67, July. [Downloadable!] (restricted)
  14. Wilson, Robert, 1979. "Auctions of Shares," The Quarterly Journal of Economics, MIT Press, vol. 93(4), pages 675-89, November. [Downloadable!] (restricted)
  15. McAfee, R. Preston & McMillan, John, 1988. "Multidimensional incentive compatibility and mechanism design," Journal of Economic Theory, Elsevier, vol. 46(2), pages 335-354, December. [Downloadable!] (restricted)
  16. Lawrence M. Ausubel & Peter Cramton, 1995. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Papers of Peter Cramton 98wpdr, University of Maryland, Department of Economics - Peter Cramton, revised 22 Jul 2002. [Downloadable!]
  17. 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. [Downloadable!] (restricted)
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