The First-Order Approach when the Cost of Effort is Money
We provide sufficient conditions for the first-order approach in the principal-agent problem when the agent’s utility has the non-separable form u(y - c(a)) where y is the contractual payoff and c(a) is the money cost of effort. We first consider a decision-maker facing prospects which cost c(a) with distributions of returns y that depends on a. The decision problem is shown to be concave if the primitive of the cumulative distribution of returns is a convex function, a condition we call Concavity of the Cumulative Quantile (CCQ). Next we apply CCQ to the distribution of outcomes (or their likelihood-ratio transforms) in the principal-agent problem and derive restrictions on the utility function that validate the first-order approach. We also discuss a stronger condition, log-convexity of the distribution, and show that it allows binding limited liability constraints, which CCQ does not.
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- Louis Eeckhoudt & Christian Gollier, 2005.
"The impact of prudence on optimal prevention,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 989-994, November.
- Bengt Holmstrom & Paul R. Milgrom, 1985.
"Aggregation and Linearity in the Provision of Intertemporal Incentives,"
Cowles Foundation Discussion Papers
742, Cowles Foundation for Research in Economics, Yale University.
- Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-28, March.
- Chen, An & Pelsser, Antoon & Vellekoop, Michel, 2011. "Modeling non-monotone risk aversion using SAHARA utility functions," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2075-2092, September.
- Richard J. Arnott & Joseph E. Stiglitz, 1988.
"Randomization with Asymmetric Information,"
NBER Working Papers
2507, National Bureau of Economic Research, Inc.
- Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September.
- Thiele, Henrik & Wambach, Achim, 1999. "Wealth Effects in the Principal Agent Model," Journal of Economic Theory, Elsevier, vol. 89(2), pages 247-260, December.
- Sebastian Koehne & Nicola Pavoni & Arpad Abraham, 2010.
"On the First-Order Approach in Principal-Agent Models with Hidden Borrowing and Lending,"
2010 Meeting Papers
947, Society for Economic Dynamics.
- Ábrahám, Árpád & Koehne, Sebastian & Pavoni, Nicola, 2011. "On the first-order approach in principal-agent models with hidden borrowing and lending," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1331-1361, July.
- Jewitt, Ian & Kadan, Ohad & Swinkels, Jeroen M., 2008. "Moral hazard with bounded payments," Journal of Economic Theory, Elsevier, vol. 143(1), pages 59-82, November.
- Eskander Alvi, 1997. "First-Order Approach to Principal-Agent Problems: A Generalization," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 22(1), pages 59-65, June.
- Martimort, David & Pouyet, Jerome, 2008.
"To build or not to build: Normative and positive theories of public-private partnerships,"
International Journal of Industrial Organization,
Elsevier, vol. 26(2), pages 393-411, March.
- David Martimort & Jérôme Pouyet, 2008. "To build or not to build: Normative and positive theories of public-private partnerships," Post-Print halshs-00754298, HAL.
- Sanford Grossman & Oliver Hart, .
"An Analysis of the Principal-Agent Problem,"
Rodney L. White Center for Financial Research Working Papers
15-80, Wharton School Rodney L. White Center for Financial Research.
- Bruno Jullien & Bernard Salanié & François Salanié, 1998.
"Should More Risk-Averse Agents Exert More Effort,"
98-12, Centre de Recherche en Economie et Statistique.
- Kawasaki, Seiichi & McMillan, John, 1987. "The design of contracts: Evidence from Japanese subcontracting," Journal of the Japanese and International Economies, Elsevier, vol. 1(3), pages 327-349, September.
- repec:crs:wpaper:9812 is not listed on IDEAS
- R. Preston McAfee & John McMillan, 1986. "Bidding for Contracts: A Principal-Agent Analysis," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 326-338, Autumn.
- Donald Meyer & Jack Meyer, 2011. "A Diamond-Stiglitz approach to the demand for self-protection," Journal of Risk and Uncertainty, Springer, vol. 42(1), pages 45-60, February.
- 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, 01.
- Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
- Carlier, G. & Dana, R.-A., 2005. "Existence and monotonicity of solutions to moral hazard problems," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 826-843, November.
- J. A. Mirrlees, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 3-21.
- Just, Richard E. & Pope, Rulon D., 1978. "Stochastic specification of production functions and economic implications," Journal of Econometrics, Elsevier, vol. 7(1), pages 67-86, February.
- Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
- Martimort, David & Pouyet, Jérôme, 2006. "'Build It or Not': Normative and Positive Theories of Public-Private Partnerships," CEPR Discussion Papers 5610, C.E.P.R. Discussion Papers.
- John R. Conlon, 2009. "Two New Conditions Supporting the First-Order Approach to Multisignal Principal-Agent Problems," Econometrica, Econometric Society, vol. 77(1), pages 249-278, 01.
- repec:dau:papers:123456789/5371 is not listed on IDEAS
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