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Unobservable Persistant Productivity and Long Term Contracts

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  • Hugo H. Hopenhayn
  • Arantxa Jarque

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Abstract

We study the problem of a firm that faces asymmetric information about the productivity of its potential workers. In our framework, a worker’s productivity is either assigned by nature at birth, or determined by an unobservable initial action of the worker that has persistent effects over time. We provide a characterization of the optimal dynamic compensation scheme that attracts only high productivity workers: consumption –regardless of time period– is ranked according to likelihood ratios of output histories, and the inverse of the marginal utility of consumption satisfies the martingale property derived in Rogerson (1985). However, in the case of i.i.d. output and square root utility we show that, contrary to the features of the optimal contract for a repeated moral hazard problem, the level and the variance of consumption are negatively correlated, due to the influence of early luck into future compensation. Moreover, in this example long-term inequality is lower under persistent private information

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Bibliographic Info

Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we092717.

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Date of creation: Mar 2009
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Handle: RePEc:cte:werepe:we092717

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Keywords: Mechanism design; Moral hazard; Persistence;

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  1. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  2. Kim, Son Ku, 1995. "Efficiency of an Information System in an Agency Model," Econometrica, Econometric Society, vol. 63(1), pages 89-102, January.
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  16. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
  17. David H. Autor, 2001. "Why Do Temporary Help Firms Provide Free General Skills Training?," The Quarterly Journal of Economics, MIT Press, vol. 116(4), pages 1409-1448, November.
  18. 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.
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Cited by:
  1. Koehne, Sebastian & Kuhn, Moritz, 2013. "Optimal capital taxation for time-nonseparable preferences," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79951, Verein für Socialpolitik / German Economic Association.

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