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Informed Principal with Correlation

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  • Michela Cella

Abstract

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.

Suggested Citation

  • Michela Cella, 2006. "Informed Principal with Correlation," Economics Series Working Papers 261, University of Oxford, Department of Economics.
  • Handle: RePEc:oxf:wpaper:261
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    References listed on IDEAS

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    1. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
    2. Strausz, Roland, 2006. "Deterministic versus stochastic mechanisms in principal-agent models," Journal of Economic Theory, Elsevier, vol. 128(1), pages 306-314, May.
    3. 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.
    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. Eric Maskin & Kevin Roberts, 2008. "On the fundamental theorems of general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 233-240.
    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 345-361, March.
    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. Hirshleifer, Jack, 1971. "The Private and Social Value of Information and the Reward to Inventive Activity," American Economic Review, American Economic Association, pages 561-574.
    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 1247-1257, November.
    10. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
    11. Eric Maskin & Kevin Roberts, 2008. "On the fundamental theorems of general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 233-240.
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    Citations

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    Cited by:

    1. Vasiliki Skreta, 2011. "On the informed seller problem: optimal information disclosure," Review of Economic Design, Springer;Society for Economic Design, vol. 15(1), pages 1-36, March.
    2. Tröger, Thomas & Mylovanov, Timofiy, 2012. "Mechanism design by an informed principal: the quasi-linear private-values case," Working Papers 12-14, University of Mannheim, Department of Economics.
    3. Michela Cella, 2005. "Risky allocations from a risk-neutral informed principal," Review of Economic Design, Springer;Society for Economic Design, vol. 9(3), pages 191-202, August.
    4. Mohammad Davoodalhosseini, 2017. "Constrained Efficiency with Adverse Selection and Directed Search," Staff Working Papers 17-15, Bank of Canada.
    5. Mylovanov, Timofiy & Tröger, Thomas, 2012. "Informed principal problems in generalized private values environments," Theoretical Economics, Econometric Society, vol. 7(3), September.
    6. Bedard, Nicholas C., 2017. "The strategically ignorant principal," Games and Economic Behavior, Elsevier, vol. 102(C), pages 548-561.
    7. Thomas Tröger & Tymofiy Mylovanov, 2008. "Optimal Auction Design and Irrelevance of Private Information," Bonn Econ Discussion Papers bgse21_2008, University of Bonn, Germany.
    8. Feess,Eberhard & Schieble,Michael & Markus,Walzl, 2004. "When should principals acquire verifiable information?," Research Memorandum 049, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    9. Pierre Fleckinger, 2007. "Informed Principal and Countervailing Incentives," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00607075, HAL.
    10. Cho, Wonjoo & Blandford, David, 2015. "Bilateral information asymmetry and irreversible practice adoption through agri-environmental policy: an application to peat land retirement in Norway," 89th Annual Conference, April 13-15, 2015, Warwick University, Coventry, UK 204212, Agricultural Economics Society.
    11. Balkenborg, Dieter & Makris, Miltiadis, 2015. "An undominated mechanism for a class of informed principal problems with common values," Journal of Economic Theory, Elsevier, vol. 157(C), pages 918-958.

    More about this item

    Keywords

    Informed Principal; Private Values; Correlation;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D20 - Microeconomics - - Production and Organizations - - - General
    • L21 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Business Objectives of the Firm

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