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Mobility and the Return to Education: Testing a Roy Model with Multiple Markets

Econometrica 2002 70(6), 2367-2420
Self-selected migration presents one potential explanation for why observed returns to a college education in local labor markets vary widely even though U.S. workers are highly mobile.To assess the impact of self-selection on estimated returns, this paper first develops a Roy model of mobility and earnings where workers choose in which of the 50 states (plus the District of Columbia) to live and work.Available estimation methods are either infeasible for a selection model with so many alternatives or place potentially severe restrictions on earnings and the selection process.This paper develops an alternative econometric methodology which combines Lee's (1983) parametric maximum order statistic approach to reduce the dimensionality of the error terms with more recent work on semiparametric estimation of selection models (e.g., Ahn and Powell, 1993).The resulting semiparametric correction is easy to implement and can be adapted to a variety of other polychotomous choice problems.The empirical work, which uses 1990 U.S. Census data, confirms the role of comparative advantage in mobility decisions.The results suggest that self-selection of higher educated individuals to states with higher returns to education generally leads to upward biases in OLS estimates of the returns to education in state-specific labor markets.While the estimated returns to a college education are significantly biased, correcting for the bias does not narrow the range of returns across states.Consistent with the finding that the corrected return to a college education differs across the U.S., the relative state-to-state migration flows of college-versus high school-educated individuals respond strongly to differences in the return to education and amenities across states.

Mobility and the Return to Education: Testing a Roy Model with Multiple Markets

Econometrica 2002 70(6), 2367-2420 open access
Self–selected migration presents one potential explanation for why observed returns to a college education in local labor markets vary widely even though U.S. workers are highly mobile. To assess the impact of self–selection on estimated returns, this paper first develops a Roy model of mobility and earnings where workers choose in which of the 50 states (plus the District of Columbia) to live and work. Available estimation methods are either infeasible for a selection model with so many alternatives or place potentially severe restrictions on earnings and the selection process. This paper develops an alternative econometric methodology that combines Lee's (1983) parametric maximum order statistic approach to reduce the dimensionality of the error terms with more recent work on semiparametric estimation of selection models (e.g., Ahn and Powell (1993)). The resulting semiparametric correction is easy to implement and can be adapted to a variety of other polychotomous choice problems. The empirical work, which uses 1990 U.S. Census data, confirms the role of comparative advantage in mobility decisions. The results suggest that self–selection of higher educated individuals to states with higher returns to education generally leads to upward biases in OLS estimates of the returns to education in state–specific labor markets. While the estimated returns to a college education are significantly biased, correcting for the bias does not narrow the range of returns across states. Consistent with the finding that the corrected return to a college education differs across the U.S., the relative state–to–state migration flows of college– versus high school–educated individuals respond strongly to differences in the return to education and amenities across states.

Unemployment Insurance, Starting Salaries, and Jobs: Evidence from Multi-state Firms

Review of Economic Studies 2026
We study the labour market effects of permanent 30%–64% reductions on unemployment insurance benefits available in seven states. Leveraging linked firm-establishment data, we find that establishments based on reform states experience employment increases that are 0.8%–1.3% larger than those of the same firm’s establishments in other states. Using a similar multi-state firm design, starting salaries are 1.2%–5.5% lower in reform states and posted salaries for the same job fall by 3.2%–3.5%. The negative co-movement of employment and wages after the reform suggests a labour supply shock and mitigates against confounding changes in labour demand driving the results. Our findings are consistent with workers lowering their reservation wages as outside options fall, and employers take advantage of this by offering lower wages and increasing employment.

Bargaining and the Role of Expert Agents: An Empirical Study of Final-Offer Arbitration

The Review of Economics and Statistics 2012 94(1), 116-132
Expert agents, such as lawyers, play a prominent role in conflict resolution, yet little is known about how they affect outcomes. We construct a model that permits us to estimate the influence of agents and test whether the parties in a dispute face prisoner's dilemma incentives. Using eighteen years of final-offer arbitration data from New Jersey, we find the parties do significantly better when they retain agents and that the parties learn about this benefit over time. However, we also find that the gain to using an agent is fully offset when the opposing party also hires an agent. Since agents are costly, this noncooperative equilibrium is Pareto inferior.

Why Is Workplace Sexual Harassment Underreported? The Value of Outside Options amid the Threat of Retaliation

American Economic Review 2026 116(3), 897-933 open access
Why is workplace sexual harassment chronically underreported? We hypothesize that employers coerce victims into silence through the threat of a retaliatory firing, and test this theory by estimating whether external shocks that reduce the value of a worker's outside options exacerbate underreporting. Under mild assumptions, a rise in the severity of formal complaints is indicative of increased underreporting. Combining this insight with an objective measure of the quality of charges filed with the Equal Employment Opportunity Commission (EEOC), we perform two analyses. First, we assess whether workers report sexual harassment more selectively during recessions, when outside labor market options are limited. We estimate the fraction of sexual harassment charges deemed to have merit by the EEOC increases by 0.5-0.7% for each one percentage point increase in a state-industry's monthly unemployment rate. The effect is amplified in industries employing a larger fraction of men and in establishments with a higher share of male managers. Second, we test whether less generous UI benefits create economic incentives for victims of workplace sexual harassment to remain silent. We find the selectivity of sexual harassment charges increases by more than 30% in response to a 50% cut to North Carolina's Unemployment Insurance (UI) program following the Great Recession.Institutional subscribers to the NBER working paper series, and residents of developing countries may download this paper without additional charge at www.nber.org.

Views among Economists: Professional Consensus or Point-Counterpoint?

American Economic Review 2013 103(3), 629-635 open access
To what degree do economists disagree about key economic questions? To provide evidence, we make use of the responses to a series of questions posed to a distinguished panel of economists put together by the Chicago School of Business. Based on our analysis, we find a broad consensus on these many different economic issues, particularly when the past economic literature on the question is large. Any differences are unrelated to observable characteristics of the Panel members, other than men being slightly more likely to express an opinion. These differences are idiosyncratic, with no support for liberal vs. conservative camps.

The Demand for Sons

Review of Economic Studies 2008 75(4), 1085-1120
Do parents have preferences over the gender of their children, and if so, does this have negative consequences for daughters versus sons? In this paper, we show that child gender affects the marital status, family structure, and fertility of a significant number of American families. Overall, a first-born daughter is significantly less likely to be living with her father compared to a first-born son. Three factors are important in explaining this gap. First, women with first-born daughters are less likely to marry. Strikingly, we also find evidence that the gender of a child in utero affects shotgun marriages. Among women who have taken an ultrasound test during pregnancy, mothers who have a girl are less likely to be married at delivery than those who have a boy. Second, parents who have first-born girls are significantly more likely to be divorced. Third, after a divorce, fathers are much more likely to obtain custody of sons compared to daughters. These three factors have serious negative income and educational consequences for affected children. What explains these findings? In the last part of the paper, we turn to the relationship between child gender and fertility to help sort out parental gender bias from competing explanations for our findings. We show that the number of children is significantly higher in families with a first-born girl. Our estimates indicate that first-born daughters caused approximately 5500 more births per year, for a total of 220,000 more births over the past 40 years. Taken individually, each piece of empirical evidence is not sufficient to establish the existence of parental gender bias. But taken together, the weight of the evidence supports the notion that parents in the U.S. favour boys over girls.

Family Violence and Football: The Effect of Unexpected Emotional Cues on Violent Behavior*

Quarterly Journal of Economics 2011 126(1), 103-143
We study the link between family violence and the emotional cues associated with wins and losses by professional football teams. We hypothesize that the risk of violence is affected by the “gain-loss” utility of game outcomes around a rationally expected reference point. Our empirical analysis uses police reports of violent incidents on Sundays during the professional football season. Controlling for the pregame point spread and the size of the local viewing audience, we find that upset losses (defeats when the home team was predicted to win by four or more points) lead to a 10% increase in the rate of at-home violence by men against their wives and girlfriends. In contrast, losses when the game was expected to be close have small and insignificant effects. Upset wins (victories when the home team was predicted to lose) also have little impact on violence, consistent with asymmetry in the gain-loss utility function. The rise in violence after an upset loss is concentrated in a narrow time window near the end of the game and is larger for more important games. We find no evidence for reference point updating based on the halftime score.

The Impact of Family Income on Child Achievement: Evidence from the Earned Income Tax Credit: Reply

American Economic Review 2017 107(2), 629-631
Dahl and Lochner (2012) provides some of the first causal evidence of the effects of family income on child achievement using changes in the Earned Income Tax Credit. Unfortunately, a coding error in the creation of total family income affects the first stage estimates and inflates the instrumental variable (IV) estimates. Importantly, it does not affect the reduced-form estimates or alter statistical significance of the IV estimates. This response shows that correcting this error does not alter the core findings or main message of the paper.

The Impact of Family Income on Child Achievement: Evidence from the Earned Income Tax Credit

American Economic Review 2012 102(5), 1927-1956
Using an instrumental variables strategy, we estimate the causal effect of income on children's math and reading achievement. Our identification derives from the large, nonlinear changes in the Earned Income Tax Credit. The largest of these changes increased family income by as much as 20 percent, or approximately $2,100, between 1993 and 1997. Our baseline estimates imply that a $1,000 increase in income raises combined math and reading test scores by 6 percent of a standard deviation in the short run. Test gains are larger for children from disadvantaged families and robust to a variety of alternative specifications.