NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

NBER Publications by Alex Edmans

Working Papers and Chapters

November 2009Tractability in Incentive Contracting
with Xavier Gabaix: w15545
This paper identifies a class of multiperiod agency problems in which the optimal contract is tractable (attainable in closed form). By modeling the noise before the action in each period, we force the contract to provide sufficient incentives state-by-state, rather than merely on average. This tightly constrains the set of admissible contracts and allows for a simple solution to the contracting problem. Our results continue to hold in continuous time, where noise and actions are simultaneous. We thus extend the tractable contracts of Holmstrom and Milgrom (1987) to settings that do not require exponential utility, a pecuniary cost of effort, Gaussian noise or continuous time. The contract's functional form is independent of the noise distribution. Moreover, if the cost of effort is pecuni...
September 2009Dynamic Incentive Accounts
with Xavier Gabaix, Tomasz Sadzik, Yuliy Sannikov: w15324
Contracts in a dynamic model must address a number of issues absent from static frameworks. Shocks to firm value may weaken the incentive effects of securities (e.g. cause options to fall out of the money), and the impact of some CEO actions may not be felt until far in the future. We derive the optimal contract in a setting where the CEO can affect firm value through both productive effort and costly manipulation, and may undo the contract by privately saving. The optimal contract takes a surprisingly simple form, and can be implemented by a "Dynamic Incentive Account." The CEO's expected pay is escrowed into an account, a fraction of which is invested in the firm's stock and the remainder in cash. The account features state-dependent rebalancing and time-dependent vesting. It is constant...
September 2007A Calibratable Model of Optimal CEO Incentives in Market Equilibrium
with Xavier Gabaix, Augustin Landier: w13372
This paper presents a unified framework for understanding the determinants of both CEO incentives and total pay levels in competitive market equilibrium. It embeds a modified principal-agent problem into a talent assignment model to endogenize both elements of compensation. The model's closed form solutions yield testable predictions for how incentives should vary across firms under optimal contracting. In particular, our calibrations show that the negative relationship between the CEO's effective equity stake and firm size is quantitatively consistent with efficiency and need not reflect rent extraction. Our model and data both also imply that the dollar change in wealth for a percentage change in firm value, scaled by annual pay, is independent of firm size. This may render it an attract...

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