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Mechanism Design with Collusion and Correlation

  • Jean-Jacques Laffont
  • David Martimort

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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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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  1. Jean Tirole & Jean-Jaques Laffont, 1985. "Using Cost Observation to Regulate Firms," Working papers 368, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Roger B. Myerson, 1977. "Incentive Compatability and the Bargaining Problem," Discussion Papers 284, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Riordan, Michael H. & Sappington, David E. M., 1988. "Optimal contracts with public ex post information," Journal of Economic Theory, Elsevier, vol. 45(1), pages 189-199, June.
  4. 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.
  5. Robert, Jacques, 1991. "Continuity in auction design," Journal of Economic Theory, Elsevier, vol. 55(1), pages 169-179, October.
  6. 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.
  7. Ma, Ching-to & Moore, John & Turnbull, Stephen, 1988. "Stopping agents from "cheating"," Journal of Economic Theory, Elsevier, vol. 46(2), pages 355-372, December.
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