Many dynamic problems in economics are characterized by large state spaces which make both computing and estimating the model infeasible. We introduce a method for approximating the value function of high-dimensional dynamic models based on sieves and establish results for the: (a) consistency,...

In traditional signaling models, education provides a way for individuals to sort themselves by ability. Employers in turn use education to statistically discriminate, paying wages that reflect the average productivity of workers with the same given level of education. In this paper, we provide...

This paper develops a dynamic model of retail competition and uses it to study the impact of the expansion of a new national competitor on the structure of urban markets. In order to accommodate substantial heterogeneity (both observed and unobserved) across agents and markets, the paper first...

This study investigates whether models of forward-looking behavior explain the observed patterns of heavy drinking and smoking of men in late middle age in the Health and Retirement Study better than myopic models. We develop and estimate a sequence of nested models which differ by their degree...

Applications to elite US colleges have more than doubled over the past 20 years, with little change in the number of available seats. We examine how this increased competition has affected the admissions advantage that legacies and athletes (LA) receive. Using data on Harvard applications over...

The lawsuit Students For Fair Admissions v. Harvard University provided an unprecedented look at how an elite school makes admissions decisions. Using publicly released reports, we examine the preferences Harvard gives for recruited athletes, legacies, those on the dean's interest list, and...

Over the past 20 years, elite colleges in the US have seen dramatic increases in applications. We provide context for part of this trend using detailed data on Harvard University that was unsealed as part of the SFFA v. Harvard lawsuit. We show that Harvard encourages applications from many...

Substantial earnings differences exist across majors with the majors that pay well also having lower grades and higher workloads. We show that the harsher grading policies in STEM courses disproportionately affect women. To show this, we estimate a model of student demand courses and optimal...

Detecting racial discrimination using observational data is challenging because of the presence of unobservables that may be correlated with race. Using data made public in the SFFA v. Harvard case, we estimate discrimination in a setting where this concern is mitigated. Namely, we show that...

The choice of a college major plays a critical role in determining the future earnings of college graduates. Students make their college major decisions in part due to the future earnings streams associated with the different majors. We survey students about what their expected earnings would be...