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Common Agency Equilibria with Discrete Mechanisms and Discrete Types

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  • David Martimort
  • Lars Stole

Abstract

This paper characterizes the equilibrium sets of an intrinsic common agencygame with discrete types and direct revelation mechanisms. After presentinga general algorithm to find the pure-strategy equilibria of this game, we use itto characterize these equilibria when the two principals control activitieswhich are complements in the agent’s objective function. Some of thoseequilibria may entail allocative inefficiency. For the case of substitutes, wedemonstrate non-existence of such equilibria with direct mechanisms, butexistence may be obtained with indirect mechanisms. Finally, we relax theequilibrium concept and analyze quasi-equilibria. We show that existence isthen guaranteed and characterize the corresponding allocations.

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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2001/wp-cesifo-2001-10/cesifo_wp572.pdf
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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 572.

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Date of creation: 2001
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Handle: RePEc:ces:ceswps:_572

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References

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  1. Martimort, D., 1992. "Exclusive Dealing, Common Agency and Multiprincipals Incentive Thoery," Papers 92.278, Toulouse - GREMAQ.
  2. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-72, September.
  3. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
  4. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
  5. Martimort David & Stole Lars, 2003. "Contractual Externalities and Common Agency Equilibria," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-40, July.
  6. Martimort, David, 1992. "Multi-Principaux avec Anti-Sélection," IDEI Working Papers 14, Institut d'Économie Industrielle (IDEI), Toulouse.
  7. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 27-41, January.
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Cited by:
  1. Hvide, Hans K & Leite, Tore, 2007. "Optimal Debt Contracts under Costly Enforcement," CEPR Discussion Papers 6040, C.E.P.R. Discussion Papers.
  2. Hvide, Hans K., 2005. "Optimal contracts under imperfect enforcement revisited," Discussion Papers 2005/4, Department of Business and Management Science, Norwegian School of Economics.

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