Working Papers
Effort-Induced Impatience and Optimal Compensation Design
This paper develops a continuous-time principal-agent model in which the agent's impatience rises endogenously with effort. We derive explicit value functions and characterize optimal contracts. A central finding is that the payment threshold is non-monotonic in the agent's impatience level: when asset risk is low, the principal initially backloads payments to stretch incentives, but beyond a critical impatience level, the contract shifts toward frontloading, driven by two forces: stronger discounting of future payment and the rising cost of sustaining incentive under greater impatience. Implementing the contract with debt, credit lines, and inside equity yields closed-form valuations, showing that equity value shifts from concave to convex as asset risk increases. Temporary suspension efficiently realigns incentives without termination. Finally, we provide explicit conditions for renegotiation-proof contracts, revealing how effort-induced impatience reshapes incentive structures.
Dynamic Monitoring and Information Design
When the principal can design both the monitoring technology and the information disclosed to the agent, optimal contracts combine a state-dependent monitoring schedule with a strategically obfuscated signal. Bridges dynamic contracting and Bayesian persuasion: the optimal disclosure rule reduces required incentives by shaping the agent's beliefs about future enforcement.
Continuous-Time Contracting under Infrequent Adjustment
Publications
-
2015
Sung, J., and Wan, X. A general equilibrium model of a multi-firm moral-hazard economy with financial markets. Mathematical Finance, 25(4), 827–868.
-
2013
Cvitanić, J., and Wan, X. Dynamics of contract design with screening. Management Science, 59(5), 1229–1244.
-
2012
Ju, N., and Wan, X. Optimal compensation and pay-performance sensitivity in a continuous-time principal-agent model. Management Science, 58(3), 641–657.
-
2010
Goukasian, L., and Wan, X. Optimal incentive contracts under relative income concerns. Mathematics and Financial Economics, 4(1), 57–86.
-
2009
Cvitanić, J., Wan, X., and Zhang, J. Optimal compensation with hidden action and lump-sum payment in a continuous-time model. Applied Mathematics and Optimization, 59(1), 99–146.
-
2008
Cvitanić, J., Wan, X., and Zhang, J. Principal-agent problems with exit options. B.E. Journal of Theoretical Economics, 8(1).
-
2006
Cvitanić, J., Wan, X., and Zhang, J. Optimal contracts in continuous-time models. Journal of Applied Mathematics and Stochastic Analysis.