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Informed Principal with Correlation

  • Michela Cella

In this paper we analyze a simple two-sided adverse selection model with one principal and one agent. They are both risk neutral and have private information about their type. We also assume that the private information of the principal is correlated with the one of the agent. The main result of the paper is that the principal can extract a larger share of the surplus from the agent than in the case where her information is public. The principal can design such a contract because she exploits the fact that her type is an informative signal on the agent`s one. We fully characterize the equilibrium of the principal agent game in which different types of principal offer the same menu of contracts that leave the agent uninformed about the principal`s type. This gives more freedom to the principal when setting the transfers because the agent`s constraints need to hold only at an interim stage. The principal gains from a peculiarity of the correlated environment: different types of agent have different beliefs about the probability distribution over the states of the world.

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Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 261.

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Date of creation: 01 Apr 2006
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Handle: RePEc:oxf:wpaper:261
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  1. Eric Maskin & Kevin W.S. Roberts, 2006. "On the Fundamental Theorems of General Equilibrium," Economics Working Papers 0074, Institute for Advanced Study, School of Social Science.
  2. Roland Strausz, . "Deterministic versus Stochastic Mechanisms in Principal--Agent Models," Papers 020, Departmental Working Papers.
  3. Roger B. Myerson, 1981. "Mechanism Design by an Informed Principal," Discussion Papers 481, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. 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.
  5. 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.
  6. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-61, March.
  7. Hirshleifer, Jack, 1971. "The Private and Social Value of Information and the Reward to Inventive Activity," American Economic Review, American Economic Association, vol. 61(4), pages 561-74, September.
  8. 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.
  9. 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.
  10. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
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