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Working Paper
Optimal auditing and insurance in a dynamic model of tax compliance
We study the optimal auditing of a taxpayer?s income in a dynamic principal- agent model of hidden income. Taxpayers in our model initially have low income and stochastically transit to high income that is an absorbing state. A low-income taxpayer who transits to high income can underreport his true income and evade his taxes. With a constant absolute risk-aversion utility function and a costly and imperfect auditing technology, we show that the optimal auditing mechanism in our model consists of cycles. Within each cycle, a low-income taxpayer is initially unaudited, but if the duration of ...
Working Paper
Market-based incentives
We study optimal incentives in a principal-agent problem in which the agent's outside option is determined endogenously in a competitive labor market. In equilibrium, strong performance increases the agent's market value. When this value becomes sufficiently high, the threat of the agent's quitting forces the principal to give the agent a raise. The prospect of obtaining this raise gives the agent an incentive to exert effort, which reduces the need for standard incentives, like bonuses. In fact, whenever the agent's option to quit is close to being "in the money," the market-induced ...
Working Paper
Dynamic contracting, persistent shocks and optimal taxation
In this paper I develop continuous-time methods for solving dynamic principal-agent problems in which the agent?s privately observed productivity shocks are persistent over time. I characterize the optimal contract as the solution to a system of ordinary differential equations, and show that, under this contract, the agent?s utility converges to its lower bound?immiseration occurs. I also show that, unlike in environments with i.i.d. shocks, the principal would like to renegotiate with the agent when the agent?s productivity is low?it is not renegotiation-proof. I apply the theoretical ...
Working Paper
Optimal Incentive Contracts with Job Destruction Risk
We study the implications of job destruction risk for optimal incentives in a long-term contract with moral hazard. We extend the dynamic principal-agent model of Sannikov (2008) by adding an exogenous Poisson shock that makes the match between the firm and the agent permanently unproductive. In modeling job destruction as an exogenous Poisson shock, we follow the Diamond-Mortensen-Pissarides search-and-matching literature. The optimal contract shows how job destruction risk is shared between the rm and the agent. Arrival of the job-destruction shock is always bad news for the rm but can be ...
Working Paper
Stochastic optimal growth with a non-compact state space
This paper studies the stability of a stochastic optimal growth economy introduced by Brock and Mirman [J. Econ. Theory 4 (1972)] by utilizing stochastic monotonicity in a dynamic system. The construction of two boundary distributions leads to a new method of studying systems with non-compact state space. The paper shows the existence of a unique invariant distribution. It also shows the equivalence between the stability and the uniqueness of the invariant distribution in this dynamic system.
Working Paper
Optimal Contracts with Reflection
In this paper, we show that whenever the agent's outside option is nonzero, the optimal contract in the continuous-time principal-agent model of Sannikov (2008) is reflective at the lower bound. This means the agent is never terminated or retired after poor performance. Instead, the agent is asked to put zero effort temporarily, which brings his continuation value up. The agent is then asked to resume effort, and the contract continues. We show that a nonzero agent's outside option arises endogenously if the agent is allowed to quit and find a new firm (after a random search time of finite ...
Journal Article
Unemployment benefits: how much money goes unclaimed?
Not all who are eligible to receive unemployment benefits actually collect them.
Journal Article
Unemployment insurance: payments, overpayments and unclaimed benefits
In the U.S. unemployment insurance program, most of the overpayments due to fraud arise from individuals collecting benefits while they are gainfully employed. In addition, the overpayments are dwarfed by payments unclaimed by some who are eligible for unemployment benefits.
Working Paper
Private Information and Optimal Infant Industry Protection
We study infant industry protection using a dynamic model in which the industry's cost is initially higher than that of foreign competitors. The industry can stochastically lower its cost via learning by doing. Whether the industry has transitioned to low cost is private information. We use a mechanism-design approach to induce the industry to reveal its true cost. We show that (i) the optimal protection, measured by infant industry output, declines over time and is less than that under public information, (ii) the optimal protection policy is time consistent under public information but not ...
Working Paper
Optimal Liquidity Regulation With Shadow Banking
We study the impact of shadow banking on optimal liquidity regulations in a Diamond-Dybvig maturity mismatch environment. A pecuniary externality arising out of the banks' access to private retrade renders competitive equilibrium inefficient. Shadow banking provides an outside option for banks, which adds a new constraint in the mechanism design problem that determines the optimal allocation. A tax on illiquid assets and a subsidy to the liquid asset similar to the payment of interest on reserves (IOR) constitute an optimal liquidity regulation policy in this economy. During expansions, i.e., ...