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Incentive Contracts and Downside Risk Sharing

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  • Bernard Sinclair-Desgagné
  • Sandrine Spaeter

Abstract

This paper seeks to characterize incentive compensation in a principal-agent moral hazard setting in which the principal is prudent, or downside risk averse, as many situations (such as that of a patient in hospital or a regulator dealing with food safety) suggest she should be. We show that optimal incentive pay should then be 'approximately concave' in performance, the approximation being closer the more downside risk averse the principal is compared to the agent. Limiting the agent's liability would improve the approximation, but taxing the principal would make it coarser. The notion of an approximately concave function we introduce here to describe the pay-performance relationship is relatively recent in mathematics; it is intuitive and translates into concrete empirical implications, notably for the composition of incentive pay. We also clarify which measure of prudence - among the various ones proposed in the literature - is relevant to investigate the tradeoff between downside risk sharing and incentives.

Suggested Citation

  • Bernard Sinclair-Desgagné & Sandrine Spaeter, 2016. "Incentive Contracts and Downside Risk Sharing," Working Papers of BETA 2016-22, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    • Handle: RePEc:ulp:sbbeta:2016-22
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    File URL: http://beta.u-strasbg.fr/WP/2016/2016-22.pdf
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    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Modica, Salvatore & Scarsini, Marco, 2005. "A note on comparative downside risk aversion," Journal of Economic Theory, Elsevier, vol. 122(2), pages 267-271, June.
    3. Renee B. Adams & Benjamin E. Hermalin & Michael S. Weisbach, 2010. "The Role of Boards of Directors in Corporate Governance: A Conceptual Framework and Survey," Journal of Economic Literature, American Economic Association, vol. 48(1), pages 58-107, March.
    4. Michel Denuit & Louis Eeckhoudt & Béatrice Rey, 2010. "Some consequences of correlation aversion in decision science," Annals of Operations Research, Springer, vol. 176(1), pages 259-269, April.
    5. Keenan, Donald C & Snow, Arthur, 2002. "Greater Downside Risk Aversion," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 267-277, May.
    6. Joaquín Poblete & Daniel Spulber, 2012. "The form of incentive contracts: agency with moral hazard, risk neutrality, and limited liability," RAND Journal of Economics, RAND Corporation, vol. 43(2), pages 215-234, June.
    7. Melissa B. Frye & Edward Nelling & Elizabeth Webb, 2006. "Executive Compensation in Socially Responsible Firms," Corporate Governance: An International Review, Wiley Blackwell, vol. 14(5), pages 446-455, September.
    8. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728, January.
    9. Marie-Cécile Fagart & Bernard Sinclair-Desgagné, 2007. "Ranking Contingent Monitoring Systems," Management Science, INFORMS, vol. 53(9), pages 1501-1509, September.
    10. Cary Deck & Harris Schlesinger, 2014. "Consistency of Higher Order Risk Preferences," Econometrica, Econometric Society, vol. 82, pages 1913-1943, September.
    11. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    12. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131, January.
    13. Pierre Chaigneau, 2015. "Risk aversion, prudence, and compensation," The European Journal of Finance, Taylor & Francis Journals, vol. 21(15), pages 1357-1373, December.
    14. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
    15. David Crainich & Louis Eeckhoudt & Alain Trannoy, 2013. "Even (Mixed) Risk Lovers Are Prudent," American Economic Review, American Economic Association, vol. 103(4), pages 1529-1535, June.
    16. Joshua S. Gans & Andrew Leigh, 2012. "Bargaining Over Labour: Do Patients Have Any Power?," The Economic Record, The Economic Society of Australia, vol. 88(281), pages 182-194, June.
    17. Gollier, Christian & Jullien, Bruno & Treich, Nicolas, 2000. "Scientific progress and irreversibility: an economic interpretation of the 'Precautionary Principle'," Journal of Public Economics, Elsevier, vol. 75(2), pages 229-253, February.
    18. Renée B. Adams & Heitor Almeida & Daniel Ferreira, 2005. "Powerful CEOs and Their Impact on Corporate Performance," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1403-1432.
    19. Christophe Courbage & Béatrice Rey, 2006. "Prudence and optimal prevention for health risks," Post-Print halshs-03353388, HAL.
    20. Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
    21. Christophe Courbage & Béatrice Rey, 2006. "Prudence and optimal prevention for health risks," Health Economics, John Wiley & Sons, Ltd., vol. 15(12), pages 1323-1327, December.
    22. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742, January.
    23. David Crainich & Louis Eeckhoudt, 2008. "On the intensity of downside risk aversion," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 267-276, June.
    24. Pauline Barrieu & Bernard Sinclair-Desgagné, 2006. "On Precautionary Policies," Management Science, INFORMS, vol. 52(8), pages 1145-1154, August.
    25. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117, January.
    26. Mohamed Belhaj & Renaud Bourl?s & Fr?d?ric Dero?an, 2014. "Risk-Taking and Risk-Sharing Incentives under Moral Hazard," American Economic Journal: Microeconomics, American Economic Association, vol. 6(1), pages 58-90, February.
    27. Gutiérrez Arnaiz, Óscar & Salas-Fumás, Vicente, 2008. "Performance standards and optimal incentives," Journal of Accounting and Economics, Elsevier, vol. 45(1), pages 139-152, March.
    28. Canice Prendergast, 2002. "The Tenuous Trade-off between Risk and Incentives," Journal of Political Economy, University of Chicago Press, vol. 110(5), pages 1071-1102, October.
    29. Meyer, Donald J. & Meyer, Jack, 2006. "Measuring Risk Aversion," Foundations and Trends(R) in Microeconomics, now publishers, vol. 2(2), pages 107-203, September.
    30. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735, January.
    31. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124, January.
    32. Bernard Salanié, 2003. "Testing Contract Theory," CESifo Economic Studies, CESifo Group, vol. 49(3), pages 461-477.
    33. Joseph Eisenhauer & Luigi Ventura, 2003. "Survey measures of risk aversion and prudence," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1477-1484.
    34. Sappington, David, 1983. "Limited liability contracts between principal and agent," Journal of Economic Theory, Elsevier, vol. 29(1), pages 1-21, February.
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    More about this item

    Keywords

    Pay-performance relationship; executive compensation; downside risk aversion; approximate concavity.;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • M12 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Personnel Management; Executives; Executive Compensation
    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects

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