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Working Paper
Optimal Long-Term Contracting with Learning
We introduce uncertainty into Holmstrom and Milgrom (1987) to study optimal long-term contracting with learning. In a dynamic relationship, the agent's shirking not only reduces current performance but also increases the agent's information rent due to the persistent belief manipulation effect. We characterize the optimal contract using the dynamic programming technique in which information rent is the unique state variable. In the optimal contract, the optimal effort is front-loaded and decreases stochastically over time. Furthermore, the optimal contract exhibits an option-like feature in ...
Report
Signaling with Private Monitoring
A sender signals her private information to a receiver who privately monitors the sender’s behavior, while the receiver transmits his private inferences back through an imperfect public signal of his actions. In a linear-quadratic-Gaussian setup in continuous time, we construct linear Markov equilibria, where the state variables are the players’ beliefs up to the sender’s second order belief. This state is an explicit function of the sender’s past play—hence, her private information—which leads to separation through the second-order belief channel. We examine the implications of ...
Report
Disagreement and learning in a dynamic contracting model
We present a dynamic contracting model in which the principal and the agent disagree about the resolution of uncertainty, and we illustrate the contract design in an application with Bayesian learning. The disagreement creates gains from trade that the principal realizes by transferring payment to states that the agent considers relatively more likely, a shift that changes incentives. In our dynamic setting, the interaction between incentive provision and learning creates an intertemporal source of ?disagreement risk? that alters optimal risk sharing. An endogenous regime shift between ...
Working Paper
Flexible Retirement and Optimal Taxation
This paper studies optimal insurance against private idiosyncratic shocks in a life-cycle model with intensive labor supply and endogenous retirement. In this environment, the optimal labor tax is hump-shaped in age: insurance benefits of taxation push for increasing-in-age taxes while rising labor supply elasticities and optimal late retirement of highly productive workers push for lowering taxes for old workers. In calibrated numerical simulations, the optimum achieves sizable welfare gains that age-dependent taxes do not deliver under the status quo US Social Security. Nevertheless, an ...