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Contracts with Endogenous Information

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  • Dezsö SZALAY

Abstract

I derive a general formulation of a Bayes Nash revelation game in a linear environment with endogenous information, whose precision depends on a covert choice of effort. I show that in nonstochastic mechanisms the first order approach to reporting (the Mirrless approach) can be complemented by a first order approach to effort spent on information acquisition if and only if i) the agent's posterior is independent of the agent's effort, ii) an increase in the agent's effort increases the risk (in the sense of Rothschild and Stiglitz (1970) in the ex ante distribution of the posterior mean, and iii) does so at a decreasing rate. Experiment structures with these characteristics arise when posteriors resulting from high (low) signals are higher (lower) for more informative signals (i.e., in monotone environments). The marginal value of information is ambiguous. Sufficient conditions for a negative or positive marginal value are derived. Contracts that encourage (discourage) information acquisition are more (less) sensitive to the agent's information than their counterparts for exogenous information structures. Distortions at the top arise if the agent may choose the precision of information directly.

Suggested Citation

  • Dezsö SZALAY, 2004. "Contracts with Endogenous Information," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 04.05, Université de Lausanne, Faculté des HEC, DEEP.
  • Handle: RePEc:lau:crdeep:04.05
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    Cited by:

    1. David Gaddis Ross, 2012. "On Evaluation Costs in Strategic Factor Markets: The Implications for Competition and Organizational Design," Management Science, INFORMS, vol. 58(4), pages 791-804, April.
    2. Malcomson James M, 2009. "Principal and Expert Agent," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-36, May.
    3. Krähmer, Daniel & Strausz, Roland, 2010. "Optimal Procurement Contracts with Pre–Project Planning," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 303, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    4. Aoyagi, Masaki, 2014. "Strategic obscurity in the forecasting of disasters," Games and Economic Behavior, Elsevier, vol. 87(C), pages 485-496.
    5. Fleckinger, Pierre, 2012. "Correlation and relative performance evaluation," Journal of Economic Theory, Elsevier, vol. 147(1), pages 93-117.
    6. Iossa, Elisabetta & Martimort, David, 2015. "Pessimistic information gathering," Games and Economic Behavior, Elsevier, vol. 91(C), pages 75-96.
    7. Johan N. M. Lagerlöf & Christoph Schottmüller, 2013. "Facilitating Consumer Learning in Insurance Markets - What Are the Welfare Effects?," Discussion Papers 13-12, University of Copenhagen. Department of Economics.
    8. Haita-Falah, Corina & Gerber, Anke & Lange, Andreas, 2015. "The Agency of Politics and Science," Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113227, Verein für Socialpolitik / German Economic Association.
    9. Stefan Terstiege, 2011. "Randomization in contracts with endogenous information," Bonn Econ Discussion Papers bgse07_2011, University of Bonn, Germany.
    10. Johan N.M. Lagerlöf & Christoph Schotmüller, 2013. "Monopoly Insurance with Endogenous Information," Discussion Papers 13-15, University of Copenhagen. Department of Economics.
    11. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    12. Terstiege, Stefan, 2012. "Endogenous information and stochastic contracts," Games and Economic Behavior, Elsevier, vol. 76(2), pages 535-547.
    13. von Wangenheim, Jonas, 2017. "Consumer-Optimal Information Design," Rationality and Competition Discussion Paper Series 53, CRC TRR 190 Rationality and Competition.
    14. Chade, Hector & Kovrijnykh, Natalia, 2016. "Delegated information acquisition with moral hazard," Journal of Economic Theory, Elsevier, vol. 162(C), pages 55-92.
    15. Marschak, Thomas & Shanthikumar, J. George & Zhou, Junjie, 2017. "Does more information-gathering effort raise or lower the average quantity produced?," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 104-117.
    16. Terstiege, Stefan, 2016. "Gathering imperfect information before signing a contract," Games and Economic Behavior, Elsevier, vol. 97(C), pages 70-87.
    17. Terstiege, Stefan, 2013. "Precontractual Investigation and Sequential Screening," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 429, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    18. Szalay, Dezsö, 2012. "Strategic information transmission and stochastic orders," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 386, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.

    More about this item

    Keywords

    asymmetric information; mechanism design; information acquisition; stochastic ordering; value of information; first order approach;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation

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