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Mechanism Design with Collusion and Correlation

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Author Info
Jean-Jacques Laffont
David Martimort

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Abstract

In a public good environment with positively correlated types, we characterize optimal mechanisms when agents have private information and can enter collusive agreements. First, we prove a weak-collusion-proof principle according to which there is no restriction for the principal in offering weak-collusion-proof mechanisms. Second, with this principle, we characterize the set of allocations that satisfy individual and coalitional incentive constraints. The optimal weakly collusion-proof mechanism calls for distortions away from first-best efficiency obtained without collusion. Allowing collusion restores continuity between the correlated and the uncorrelated environments. When the correlation becomes almost perfect, first-best efficiency is approached. Finally, the optimal collusion-proof mechanism is strongly ratifiable.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 68 (2000)
Issue (Month): 2 (March)
Pages: 309-342
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Handle: RePEc:ecm:emetrp:v:68:y:2000:i:2:p:309-342

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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)
  2. Green, Jerry & Laffont, Jean-Jacques, 1979. "On Coalition Incentive Compatibility," Review of Economic Studies, Blackwell Publishing, vol. 46(2), pages 243-54, April. [Downloadable!] (restricted)
  3. Ma, Ching-to & Moore, John & Turnbull, Stephen, 1988. "Stopping agents from "cheating"," Journal of Economic Theory, Elsevier, vol. 46(2), pages 355-372, December. [Downloadable!] (restricted)
  4. Grossman, Sanford J. & Perry, Motty, 1986. "Perfect sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 39(1), pages 97-119, June. [Downloadable!] (restricted)
  5. Robert, Jacques, 1991. "Continuity in auction design," Journal of Economic Theory, Elsevier, vol. 55(1), pages 169-179, October. [Downloadable!] (restricted)
  6. Matthews, Steven A. & Postlewaite, Andrew, 1989. "Pre-play communication in two-person sealed-bid double auctions," Journal of Economic Theory, Elsevier, vol. 48(1), pages 238-263, June. [Downloadable!] (restricted)
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  7. 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. [Downloadable!] (restricted)
  8. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July. [Downloadable!] (restricted)
  9. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January. [Downloadable!] (restricted)
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  10. 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)
  11. E. Maskin, 1978. "Implementation and Strong Nash Equilibrium," Working papers 216, Massachusetts Institute of Technology (MIT), Department of Economics.
  12. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
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  13. 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)
  14. Laffont, Jean-Jacques & Maskin, Eric, 1980. "A Differential Approach to Dominant Strategy Mechanisms," Econometrica, Econometric Society, vol. 48(6), pages 1507-20, September. [Downloadable!] (restricted)
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