Common Shocks and Relative Compensation Schemes
This paper studies qualitative properties of an optimal contract in a multi-agent setting in which agents are subject to a common shock. We derive a necessary and sufficient condition for the optimal reward of an agent to be a decreasing (increasing) function of the outputs of the other agents, under the assumption that the agents' outputs are informative signals of the value of the common shock. The condition is that the likelihood ratio of a given outcome with high versus low effort be a decreasing (increasing) function of the common shock. We derive conditions on the way the common shock affects the marginal product of effort under which the likelihood ratio is decreasing for all output levels, or increasing for some output levels and decreasing for others.
|Date of creation:||11 Apr 2005|
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- Lazear, Edward P & Rosen, Sherwin, 1981.
"Rank-Order Tournaments as Optimum Labor Contracts,"
Journal of Political Economy,
University of Chicago Press, vol. 89(5), pages 841-864, October.
- Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
- Dilip Mookherjee, 1984. "Optimal Incentive Schemes with Many Agents," Review of Economic Studies, Oxford University Press, vol. 51(3), pages 433-446.
- Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
- Paul R. Milgrom, 1979.
"Good Nevs and Bad News: Representation Theorems and Applications,"
407R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
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