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Dynamic Managerial Compensation: a Mechanism Design Approach

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  • Daniel Garrett
  • Alessandro Pavan

Abstract

We characterize the optimal incentive scheme for a manager who faces costly effort decisions and whose ability to generate profits for the firm varies stochastically over time. The optimal contract is obtained as the solution to a dynamic mechanism design problem with hidden actions and persistent shocks to the agent's productivity. When the agent is risk-neutral, the optimal contract can often be implemented with a simple pay package that is linear in the firm's profits. Furthermore, the power of the incentive scheme typically increases over time, thus providing a possible justification for the frequent practice of putting more stocks and options in the package of managers with a longer tenure in the firm. In contrast to other explanations proposed in the literature (e.g., declining disutility of effort or career concerns), the optimality of seniority-based reward schemes is not driven by variations in the agent's preferences or in his outside option. It results from an optimal allocation of the manager's informational rents over time. Building on the insights from the risk-neutral case, we then explore the properties of optimal incentive schemes for risk-averse managers. We find that, other things equal, risk-aversion reduces the benefit of inducing higher effort over time. Whether (risk-averse) managers with a longer tenure receive more or less high-powered incentives than younger ones then depends on the interaction between the degree of risk aversion and the dynamics of the impulse responses for the shocks to the manager's type.

Suggested Citation

  • Daniel Garrett & Alessandro Pavan, 2009. "Dynamic Managerial Compensation: a Mechanism Design Approach," Carlo Alberto Notebooks 127, Collegio Carlo Alberto.
  • Handle: RePEc:cca:wpaper:127
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    1. Battaglini, Marco & Coate, Stephen, 2008. "Pareto efficient income taxation with stochastic abilities," Journal of Public Economics, Elsevier, vol. 92(3-4), pages 844-868, April.
    2. Christopher Phelan & Robert M. Townsend, 1991. "Computing Multi-Period, Information-Constrained Optima," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(5), pages 853-881.
    3. Zhang, Yuzhe, 2009. "Dynamic contracting with persistent shocks," Journal of Economic Theory, Elsevier, vol. 144(2), pages 635-675, March.
    4. Besanko, David, 1985. "Multi-period contracts between principal and agent with adverse selection," Economics Letters, Elsevier, vol. 17(1-2), pages 33-37.
    5. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2008. "Dynamic Mechanism Design: Incentive Compatibility, Profit Maximization and Information Disclosure," Carlo Alberto Notebooks 84, Collegio Carlo Alberto.
    6. Jean-Jacques Laffont & Jean Tirole, 1990. "Adverse Selection and Renegotiation in Procurement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 597-625.
    7. Laffont, Jean-Jacques & Tirole, Jean, 1986. "Using Cost Observation to Regulate Firms," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 614-641, June.
    8. Richard A. Lambert, 1983. "Long-Term Contracts and Moral Hazard," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 441-452, Autumn.
    9. Marco Battaglini, 2005. "Long-Term Contracting with Markovian Consumers," American Economic Review, American Economic Association, vol. 95(3), pages 637-658, June.
    10. Peter M. DeMarzo & Michael J. Fishman, 2007. "Optimal Long-Term Financial Contracting," Review of Financial Studies, Society for Financial Studies, vol. 20(6), pages 2079-2128, November.
    11. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 1-30.
    12. Gibbons, Robert & Murphy, Kevin J, 1992. "Optimal Incentive Contracts in the Presence of Career Concerns: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 468-505, June.
    13. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    14. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 957-984.
    15. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    16. Baron, David P. & Besanko, David, 1984. "Regulation and information in a continuing relationship," Information Economics and Policy, Elsevier, vol. 1(3), pages 267-302.
    17. PETER M. DeMARZO & YULIY SANNIKOV, 2006. "Optimal Security Design and Dynamic Capital Structure in a Continuous‐Time Agency Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2681-2724, December.
    18. Lippert, Robert L. & Porter, Gayle, 1997. "Understanding CEO pay: A test of two pay-to-performance sensitivity measures with alternative measures of alignment and influence," Journal of Business Research, Elsevier, vol. 40(2), pages 127-138, October.
    19. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    20. repec:adr:anecst:y:1990:i:18:p:07 is not listed on IDEAS
    21. Mathias Dewatripont & Ian Jewitt & Jean Tirole, 1999. "The Economics of Career Concerns, Part I: Comparing Information Structures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 183-198.
    22. Alex Edmans & Xavier Gabaix, 2009. "Is CEO Pay Really Inefficient? A Survey of New Optimal Contracting Theories," European Financial Management, European Financial Management Association, vol. 15(3), pages 486-496, June.
    23. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    24. Laffont, Jean-Jacques & Tirole, Jean, 1988. "The Dynamics of Incentive Contracts," Econometrica, Econometric Society, vol. 56(5), pages 1153-1175, September.
    25. Mathias Dewatripont & Ian Jewitt & Jean Tirole, 1999. "The Economics of Career Concerns, Part I: Comparing Information Structures," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 183-198.
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    Cited by:

    1. Jean-Pierre Danthine & John Donaldson, 2015. "Executive Compensation: A General Equilibrium Perspective," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(2), pages 269-286, April.
    2. LiCalzi, Marco & Pavan, Alessandro, 2005. "Tilting the supply schedule to enhance competition in uniform-price auctions," European Economic Review, Elsevier, vol. 49(1), pages 227-250, January.
    3. Alex Edmans & Xavier Gabaix & Tomasz Sadzik & Yuliy Sannikov, 2009. "Dynamic Incentive Accounts," NBER Working Papers 15324, National Bureau of Economic Research, Inc.
    4. Daniel F. Garrett & Alessandro Pavan, 2012. "Managerial Turnover in a Changing World," Journal of Political Economy, University of Chicago Press, vol. 120(5), pages 879-925.
    5. George-Marios Angeletos & Alessandro Pavan, 2007. "Socially Optimal Coordination: Characterization and Policy Implications," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 585-593, 04-05.
    6. Daniel Garrett & Alessandro Pavan, 2014. "Dynamic Managerial Compensation: On the Optimality of Seniority-based Schemes," Discussion Papers 1579, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Xiaojun Zhao, 2015. "Optimal Income Taxations with Information Asymmetry: The Lagrange Multiplier Approach," Annals of Economics and Finance, Society for AEF, vol. 16(1), pages 199-229, May.
    8. Garrett, Daniel F. & Pavan, Alessandro, 2015. "Dynamic managerial compensation: A variational approach," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 775-818.

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    More about this item

    Keywords

    dynamic mechanism design; adverse selection; moral hazard; incentives; optimal pay scheme; risk-aversion; stochastic process;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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