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Distributions for the first-order approach to principal-agent problems

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  • Marco LiCalzi
  • Sandrine Spaeter

Abstract

The first-order approach is a technical shortcut widely used in agency problems. The best known set of sufficient conditions for its validity are due to Mirrlees and Rogerson and require that the distribution function is convex in effort and has a likelihood ratio increasing in output. Only one nontrivial example was so far known to satisfy both properties. This note provides two rich families of examples displaying both properties. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Marco LiCalzi & Sandrine Spaeter, 2003. "Distributions for the first-order approach to principal-agent problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 167-173, January.
    • Handle: RePEc:spr:joecth:v:21:y:2003:i:1:p:167-173
    DOI: 10.1007/s00199-001-0250-y
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    Citations

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    Cited by:

    1. Fagart, Marie-Cécile & Fluet, Claude, 2013. "The first-order approach when the cost of effort is money," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 7-16.
    2. Dionne, Georges & Harrington, Scott, 2017. "Insurance and Insurance Markets," Working Papers 17-2, HEC Montreal, Canada Research Chair in Risk Management.
    3. Jiong Gong & Ping Jiang & Xiaochuan Xing, 2018. "Compensation Convexity without Utility Restriction," Australian Economic Papers, Wiley Blackwell, vol. 57(3), pages 238-249, September.
    4. Dionne, Georges & Spaeter, Sandrine, 2003. "Environmental risk and extended liability: The case of green technologies," Journal of Public Economics, Elsevier, vol. 87(5-6), pages 1025-1060, May.
    5. Jung, Jin Yong & Kim, Son Ku, 2015. "Information space conditions for the first-order approach in agency problems," Journal of Economic Theory, Elsevier, vol. 160(C), pages 243-279.
    6. Bond, Philip & Gomes, Armando, 2009. "Multitask principal-agent problems: Optimal contracts, fragility, and effort misallocation," Journal of Economic Theory, Elsevier, vol. 144(1), pages 175-211, January.
    7. James Mirrlees & Roberto Raimondo, 2013. "Strategies in the principal-agent model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 605-656, August.
    8. Dionne, Georges & Spaeter, Sandrine, 2003. "Environmental risk and extended liability: The case of green technologies," Journal of Public Economics, Elsevier, vol. 87(5-6), pages 1025-1060, May.
    9. Poblete, Joaquín & Spulber, Daniel, 2017. "Managing innovation: Optimal incentive contracts for delegated R&D with double moral hazard," European Economic Review, Elsevier, vol. 95(C), pages 38-61.
    10. Arnold Chassagnon, 2007. "Regular moral hazard economies," Working Papers halshs-00588317, HAL.
    11. Magill, Michael & Quinzii, Martine, 2008. "Normative properties of stock market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 785-806, July.
    12. Schmitt, Andre & Spaeter, Sandrine, 2005. "Improving the prevention of environmental risks with convertible bonds," Journal of Environmental Economics and Management, Elsevier, vol. 50(3), pages 637-657, November.
    13. Michael Magill & Martine Quinzii, 2006. "Common Shocks and Relative Compensation," Annals of Finance, Springer, vol. 2(4), pages 407-420, October.
    14. Corrado Benassi, 2011. "A Note on Convex Transformations and the First Order Approach," Working Paper series 06_11, Rimini Centre for Economic Analysis.
    15. Mario Tirelli, 2021. "On the optimal investment finance of small businesses," Small Business Economics, Springer, vol. 56(4), pages 1639-1665, April.
    16. Patrice Loisel, 2013. "Can CDFC and MLRP Conditions Be Both Satisfied for a Given Distribution?," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 7(3), pages 135-145, November.
    17. Hwang, Sunjoo, 2016. "Relational contracts and the first-order approach," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 126-130.
    18. Georges Dionne & Sara Malekan, 2017. "Optimal Form of Retention for Securitized Loans under Moral Hazard," Risks, MDPI, vol. 5(4), pages 1-13, October.
    19. Magill, Michael & Quinzii, Martine, 2008. "Normative properties of stock market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 785-806, July.
    20. Kadan, Ohad & Swinkels, Jeroen M., 2013. "Minimum payments and induced effort in moral hazard problems," Games and Economic Behavior, Elsevier, vol. 82(C), pages 468-489.
    21. Kirkegaard, René, 2017. "Moral hazard and the spanning condition without the first-order approach," Games and Economic Behavior, Elsevier, vol. 102(C), pages 373-387.
    22. André SCHMITT & Sandrine SPAETER, 2002. "Improving the Prevention of Environmental Risks with Convertible Bonds," Working Papers of BETA 2002-14, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.

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