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Modeling collusion as an informed principal problem

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Author Info
Lucia Quesada (Universite de Toulouse)

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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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Publisher 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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Related research
Keywords: Collusion Informed principal Mechanism design;

Other versions of this item:

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information
L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production

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References listed on IDEAS
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. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-97, November. [Downloadable!] (restricted)
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  2. Faure-Grimaud, Antoine & Laffont, Jean-Jacques & Martimort, David, 2003. "Collusion, Delegation and Supervision with Soft Information," IDEI Working Papers 167, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
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  3. Jean-Jacques Laffont & David Martimort, 1998. "Collusion and Delegation," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 280-305, Summer. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. 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)
  7. David M Kreps & Robert Wilson, 2003. "Sequential Equilibrium," Levine's Working Paper Archive 618897000000000813, David K. Levine. [Downloadable!]
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  8. Myerson, Roger B, 1984. "Two-Person Bargaining Problems with Incomplete Information," Econometrica, Econometric Society, vol. 52(2), pages 461-87, March. [Downloadable!] (restricted)
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  9. Laffont, Jean-Jacques & Martimort, David, 1998. "Mechanism Design with Collusion and Correlation," IDEI Working Papers 81, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
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  10. 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)
  11. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
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  12. Baliga, Sandeep & Sjostrom, Tomas, 1998. "Decentralization and Collusion," Journal of Economic Theory, Elsevier, vol. 83(2), pages 196-232, December. [Downloadable!] (restricted)
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Cited by:
(explanations, 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. repec:att:wimass:192044 is not listed on IDEAS
  2. Yeon-Koo Che & Jinwoo Kim, 2005. "Robustly collusion-proof implementation," Discussion Papers 0506-12, Columbia University, Department of Economics. [Downloadable!]
    Other versions:
  3. Yeon-Koo Che & Jinwoo Kim, 2006. "Optimal Collusion-Proof Auctions," Discussion Papers 0506-22, Columbia University, Department of Economics. [Downloadable!]
    Other versions:
  4. 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). [Downloadable!]
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