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Hidden Wealth and Incentives

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This paper analyzes the characteristics of optimal menu of contracts in the case that agents’ wealth and actions are hidden from the principal. We first consider a benchmark case that the wealth levels of all agents are known to the principal, and we show that the power of incentives for agents with high wealth is greater than the one for agents with low wealth. The reason is that richer agents are less risk averse; providing high incentives for less riskaverse agents is beneficial to the principal. However, in the case that the agents’ wealth is hidden, the principal will fail to achieve social efficiency because rich agents will act like poor agents. Thus, the principal must design another menu of contracts to prevent rich agents from mimicking poor agents. Ultimately, compared with the optimal menu of contracts derived when it was known, the power of incentives for rich agents is identical, but the power of incentives for poor agents declines.

Abstract

This paper analyzes the characteristics of optimal menu of contracts in the case that agents’ wealth and actions are hidden from the principal. We first consider a benchmark case that the wealth levels of all agents are known to the principal, and we show that the power of incentives for agents with high wealth is greater than the one for agents with low wealth. The reason is that richer agents are less risk averse; providing high incentives for less riskaverse agents is beneficial to the principal. However, in the case that the agents’ wealth is hidden, the principal will fail to achieve social efficiency because rich agents will act like poor agents. Thus, the principal must design another menu of contracts to prevent rich agents from mimicking poor agents. Ultimately, compared with the optimal menu of contracts derived when it was known, the power of incentives for rich agents is identical, but the power of incentives for poor agents declines.

참고문헌 (10)

  1. Baker, George P., "CEO incentives and firm size", Journal of Labor Economics, 22(4), pp.767~798 (2004)
  2. Bénabou, Roland, "Bonus culture: Competitive pay, screening, and multitasking", Journal of Political Economy, 124(2), pp.305~370 (2016)
  3. Chade, Hector, "Wealth effects and agency costs", Games and Economic Behavior, 86, pp.1~11 (2014)
  4. Holmstrom, Bengt, "Aggregation and linearity in the provision of intertemporal incentives", Econometrica, 55(2), pp.303~328 (1987)
  5. 정진용, "Effects of Wealth and Its Distribution on the Moral Hazard Problem", Seoul Journal of Economics, 30(4), pp.487~502 (2017), 경제연구소[DOI]
  6. Kadan, Ohad, "On the moral hazard problem without the first-order approach", Journal of Economic Theory, 148(6), pp.2313~2343 (2013)
  7. Lemieux, Thomas, "Performance pay and wage inequality", The Quarterly Journal of Economics, 124(1), pp.1~49 (2009)
  8. Moen, Espen R., "Performance pay and adverse selection", Scandinavian Journal of Economics, 107(2), pp.279~298 (2005)
  9. Stewart, Jay, "The welfare implications of moral hazard and adverse selection in competitive insurance markets", Economic inquiry, 32(2), pp.193~208 (1994)
  10. Thiele, Henrik, "Wealth Effects in the Principal Agent Model", Journal of Economic Theory, 89(2), pp.247~260 (1999)

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