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Modeling collusion as an informed principal problem

  • Lucia Quesada

    (Universite de Toulouse)

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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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
Contact details of provider: Web page: http://128.118.178.162

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  1. Sandeep Baliga & Tomas Sjostrom, 1996. "Decentralization and Collusion," Harvard Institute of Economic Research Working Papers 1757, Harvard - Institute of Economic Research.
  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. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
  4. Roger B. Myerson, 1982. "Two-Person Bargaining Problems with Incomplete Infonnation," Discussion Papers 527, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. 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.
  6. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-97, November.
  7. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
  8. 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.
  9. 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.
  10. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
  11. 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.
  12. 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.
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