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Modeling collusion as an informed principal problem

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  • Lucia Quesada

    (Universite de Toulouse)

Abstract

In this paper we address the question of collusion in mechanisms under asymmetric information by assuming that one of the colluding parties offers a side contract to the other one. We develop a methodology to analyze collusion as an informed principal problem. We show that if collusion occurs after the agents accept or reject the principal’s offer, the dominant-strategy implementation of the optimal contract without collusion is collusion proof. In the second part of the paper, we look at a different timing, assuming that the agents’ decision to accept or reject the principal’s offer is taken after collusion, so the agents share their private information before accepting the principal’s offer. On the other hand, we assume that the collusion offer includes a punishment strategy, to be used whenever the other agent rejects the side contract. We establish the conditions that have to be satisfied for a contract to be collusion proof and we show that the optimal contract without collusion is no longer collusion proof. The optimal collusion proof contract is asymmetric, both in transfers and in quantities.

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File URL: http://128.118.178.162/eps/game/papers/0304/0304002.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0304002.

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Length: 45 pages
Date of creation: 09 Apr 2003
Date of revision:
Handle: RePEc:wpa:wuwpga:0304002

Note: Type of Document - pdf; prepared on IBM PC - PC-TEX; to print on HP/A4paper; pages: 45 ; figures: included
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Web page: http://128.118.178.162

Related research

Keywords: Collusion Informed principal Mechanism design;

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References

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  1. Myerson, Roger B, 1984. "Two-Person Bargaining Problems with Incomplete Information," Econometrica, Econometric Society, vol. 52(2), pages 461-87, March.
  2. 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.
  3. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
  4. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
  5. Sandeep Baliga & Tomas Sjostrom, 1998. "Decentralization and Collusion," Discussion Papers 1210, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Antoine Faure-Grimaud & Jean-Jacques Laffont & David Martimort, 2003. "Collusion, Delegation and Supervision with Soft Information," Review of Economic Studies, Oxford University Press, vol. 70(2), pages 253-279.
  7. Maskin, Eric & Tirole, Jean, 1992. "The Principal-Agent Relationship with an Informed Principal, II: Common Values," Econometrica, Econometric Society, vol. 60(1), pages 1-42, January.
  8. Maskin, Eric & Tirole, Jean, 1990. "The Principal-Agent Relationship with an Informed Principal: The Case of Private Values," Econometrica, Econometric Society, vol. 58(2), pages 379-409, March.
  9. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
  10. Baron, David P & Besanko, David, 1992. "Information, Control, and Organizational Structure," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(2), pages 237-75, Summer.
  11. 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.
  12. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-97, November.
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Citations

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Cited by:
  1. Nicolas Gruyer, 2008. "Optimal Auctions when a seller is bound to sell to collusive bidders (new version of "using lotteries ...")," Economics Working Papers 06, LEEA (air transport economics laboratory), ENAC (french national civil aviation school).
  2. Celik, Gorkem, 2004. "Counter Marginalization of Information Rents under Collusion," Microeconomics.ca working papers celik-04-01-23-02-48-07, Vancouver School of Economics, revised 27 Jan 2008.
  3. Che,Y.-K. & Kim,J., 2004. "Collusion-proof implementation of optimal mechanisms," Working papers 4, Wisconsin Madison - Social Systems.

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