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The Dynamics of Inequality

Econometrica 2016 84(6), 2071-2111 open access
The past forty years have seen a rapid rise in top income inequality in the United States. While there is a large number of existing theories of the Pareto tail of the long-run income distributions, almost none of these address the fast rise in top inequality observed in the data. We show that standard theories, which build on a random growth mechanism, generate transition dynamics that are too slow relative to those observed in the data. We then suggest two parsimonious deviations from the canonical model that can explain such changes: “scale dependence” that may arise from changes in skill prices, and “type dependence,” that is, the presence of some “high-growth types.” These deviations are consistent with theories in which the increase in top income inequality is driven by the rise of “superstar” entrepreneurs or managers.

Limits of Arbitrage: Theory and Evidence from the Mortgage‐Backed Securities Market

Journal of Finance 2007 62(2), 557-595 open access
ABSTRACT “Limits of Arbitrage” theories hypothesize that the marginal investor in a particular asset market is a specialized arbitrageur rather than a diversified representative investor. We examine the mortgage‐backed securities (MBS) market in this light. We show that the risk of homeowner prepayment, which is a wash in the aggregate, is priced in the MBS market. The covariance of prepayment risk with aggregate wealth implies the wrong sign to match the observed prices of prepayment risk. The price of risk is better explained by a kernel based on MBS market‐wide specific risk, consistent with the specialized arbitrageur hypothesis.

A Multiplicative Model of Optimal CEO Incentives in Market Equilibrium

Review of Financial Studies 2009 22(12), 4881-4917 open access
This paper presents a unified theory of both the level and sensitivity of pay in competitive market equilibrium, by embedding a moral hazard problem into a talent assignment model. By considering multiplicative specifications for the CEO's utility and production functions, we generate a number of different results from traditional additive models. First, both the CEO's low fractional ownership (the Jensen–Murphy incentives measure) and its negative relationship with firm size can be quantitatively reconciled with optimal contracting, and thus need not reflect rent extraction. Second, the dollar change in wealth for a percentage change in firm value, divided by annual pay, is independent of firm size, and therefore a desirable empirical measure of incentives. Third, incentive pay is effective at solving agency problems with multiplicative impacts on firm value, such as strategy choice. However, additive issues such as perk consumption are best addressed through direct monitoring.

Dynamic CEO Compensation

Journal of Finance 2012 67(5), 1603-1647 open access
ABSTRACT We study optimal compensation in a dynamic framework where the CEO consumes in multiple periods, can undo the contract by privately saving, and can temporarily inflate earnings. We obtain a simple closed‐form contract that yields clear predictions for how the level and performance sensitivity of pay vary over time and across firms. The contract can be implemented by escrowing the CEO's pay into a “Dynamic Incentive Account” that comprises cash and the firm's equity. The account features state‐dependent rebalancing to ensure its equity proportion is always sufficient to induce effort, and time‐dependent vesting to deter short‐termism.

Costly Information Acquisition: Experimental Analysis of a Boundedly Rational Model

American Economic Review 2006 open access
The directed cognition model assumes that agents use partially myopic option-value calculations to select their next cognitive operation. The current paper tests this model by studying information acquisition in two experiments. In the first experiment, information acquisition has an explicit financial cost. In the second experiment, information acquisition is costly because time is scarce. The directed cognition model successfully predicts aggregate information acquisition patterns in these experiments. When the directed cognition model and the fully rational model make demonstrably different predictions, the directed cognition model better matches the laboratory evidence.

Costly Information Acquisition: Experimental Analysis of a Boundedly Rational Model

American Economic Review 2006 96(4), 1043-1068
The directed cognition model assumes that agents use partially myopic option-value calculations to select their next cognitive operation. The current paper tests this model by studying information acquisition in two experiments. In the first experiment, information acquisition has an explicit financial cost. In the second experiment, information acquisition is costly because time is scarce. The directed cognition model successfully predicts aggregate information acquisition patterns in these experiments. When the directed cognition model and the fully rational model make demonstrably different predictions, the directed cognition model better matches the laboratory evidence.

The Area and Population of Cities: New Insights from a Different Perspective on Cities

American Economic Review 2011 101(5), 2205-2225
The distribution of city populations has attracted much attention, in part because it constrains models of local growth. However, there is no consensus on the distribution below the very upper tail, because available data need to rely on “legal” rather than “economic” definitions for medium and small cities. To remedy this difficulty, we construct cities “from the bottom up” by clustering populated areas obtained from high-resolution data. We find that Zipf 's law for population holds for cities as small as 5,000 inhabitants in Great Britain and 12,000 inhabitants in the US. We also find a Zipf 's law for areas. JEL: R11, R12, R23