Costly Rewards and Punishments

To punish an agent, the principal often incurs costs. I study a principal’s least costly reward and punishment scheme for an agent whose effort the principal cannot observe. I find the principal’s cost is sometimes minimized by using both costly rewards and costly punishments because (1) the agent has an outside option, or (2) a principal without commitment ability repeatedly interacts with the agent. I also find that when an agent’s effort is better at increasing the probability of a good outcome for the principal, the agent’s payoff may decrease, because the principal replaces rewards with punishments

Managerial Turnover in a Changing World

We characterize a firm's profit-maximizing turnover policy in an environment where managerial productivity changes stochastically over time and is the manager's private information. Our key positive result shows that the productivity level that the …firm requires for retention declines with the manager's tenure in the …firm. Our key normative result shows that, compared to what is efficient, the profit-maximizing policy either induces excessive retention (i.e., inefficiently low turnover) at all tenure levels, or excessive firing at the early stages of the relationship followed by excessive retention after sufficiently long tenure.managerial turnover, termination clauses, dynamic mechanism design, adverse selection, moral hazard

Repeated moral hazard and contracts with memory: The case of risk-neutrality

We consider a repeated moral hazard problem, where both the principal and the wealth-constrained agent are risk-neutral. In each of two periods, the agent can exert unobservable effort, leading to success or failure. Incentives provided in the second period act as carrot and stick for the first period, so that the effort level induced in the second period is higher after a first-period success than after a failure. If renegotiation cannot be prevented, the principal may prefer a project with lower returns; i.e., a project may be "too good" to be financed or, similarly, an agent can be "overqualified.

The Political Economy of Indirect Control

This paper characterizes the efficient sequential equilibrium when a government uses indirect control to exert its authority. We develop a dynamic principal-agent model in which a principal (a government) delegates the prevention of a disturbance—such as riots, protests, terrorism, crime, or tax evasion—to an agent who has an advantage in accomplishing this task. Our setting is a standard dynamic principal-agent model with two additional features. First, the principal is allowed to exert direct control by intervening with an endogenously determined intensity of force which is costly to both players. Second, the principal suffers from limited commitment. Using recursive methods, we derive a fully analytical characterization of the likelihood, intensity, and duration of intervention. The first main insight from our model is that repeated and costly interventions are a feature of the efficient equilibrium. This is because they serve as a punishment to induce the agent into desired behavior. The second main insight is a detailed analysis of a fundamental tradeoff between the intensity and duration of intervention which is driven by the principal’s inability to commit. Finally, we derive sharp predictions regarding the impact of various factors on likelihood, intensity, and duration of intervention. We discuss these results in the context of some historical episodes.

Relational contracts, limited liability, and employment dynamics

This paper studies a relational contracting model in which the agent is protected by a limited liability constraint. The agent's effort is his private information and affects output stochastically. We characterize the optimal relational contract and compare the dynamics of the relationship with that under the optimal long-term contract. Under the optimal relational contract, the relationship is less likely to survive, and the surviving relationship is less efficient. In addition, relationships always converge to a steady state under the optimal long-term contract, but they can cycle among different phases under the optimal relational contract