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Modeling Earnings Dynamics

Econometrica 2013 81(4), 1395-1454
In this paper, we use indirect inference to estimate a joint model of earnings, employment, job changes, wage rates, and work hours over a career. We use the model to address a number of important questions in labor economics, including the source of the experience profile of wages, the response of job changes to outside wage offers, and the effects of seniority on job changes. We also study the dynamic response of wage rates, hours, and earnings to various shocks, and measure the relative contributions of the shocks to the variance of earnings in a given year and over a lifetime. We find that human capital accounts for most of the growth of earnings over a career, although job seniority and job mobility also play significant roles. Unemployment shocks have a large impact on earnings in the short run, as well as a substantial long-term effect that operates through the wage rate. Shocks associated with job changes and unemployment make a large contribution to the variance of career earnings and operate mostly through the job-specific error components of wages and hours.

Choosing Choices: Agenda Selection With Uncertain Issues

Econometrica 2013 81(1), 221-253
We study selection rules: voting procedures used by committees to choose whether to place an issue on their agenda.At the selection stage of the model, committee members are uncertain about their final preferences.They only have some private information about these preferences.We show that voters become more conservative when the selection rule itself becomes more conservative.The decision rule has the opposite effect.We compare these voting procedures to the designation of an agenda setter among the committee, and to a utilitarian social planner with all the ex interim private information.

Robustness, Infinitesimal Neighborhoods, and Moment Restrictions

Econometrica 2013 81(3), 1185-1201
This paper is concerned with robust estimation under moment restrictions. A moment restriction model is semiparametric and distribution-free; therefore it imposes mild assumptions. Yet it is reasonable to expect that the probability law of observations may have some deviations from the ideal distribution being modeled, due to various factors such as measurement errors. It is then sensible to seek an estimation procedure that is robust against slight perturbation in the probability measure that generates observations. This paper considers local deviations within shrinking topological neighborhoods to develop its large sample theory, so that both bias and variance matter asymptotically. The main result shows that there exists a computationally convenient estimator that achieves optimal minimax robust properties. It is semiparametrically efficient when the model assumption holds, and, at the same time, it enjoys desirable robust properties when it does not.

Preference Monotonicity and Information Aggregation in Elections

Econometrica 2013 81(3), 1229-1247
If voter preferences depend on a noisy state variable, under what conditions do large elections deliver outcomes “as if” the state were common knowledge? While the existing literature models elections using the jury metaphor where a change in information regarding the state induces all voters to switch in favor of only one alternative, we allow for more general preferences where a change in information can induce a switch in favor of either alternative. We show that information is aggregated for any voting rule if, for a randomly chosen voter, the probability of switching in favor of one alternative is strictly greater than the probability of switching away from that alternative for any given change in belief over states. If the preference distribution violates this condition, there exist equilibria that produce outcomes different from the full information outcome with high probability for large classes of voting rules. In other words, unless preferences closely conform to the jury metaphor, information aggregation is not guaranteed to obtain.

Identification and Inference in Ascending Auctions With Correlated Private Values

Econometrica 2013 81(2), 489-534
We introduce and apply a new nonparametric approach to identification and inference on data from ascending auctions. We exploit variation in the number of bidders across auctions to nonparametrically identify useful bounds on seller profit and bidder surplus using a general model of correlated private values that nests the standard IPV model. We also translate our identified bounds into closed form and asymptotically valid confidence intervals for several economic measures of interest. Applying our methods to much-studied U.S. Forest Service timber auctions, we find evidence of correlation among values after controlling for a rich vector of relevant auction covariates; this correlation causes expected profit, the profit-maximizing reserve price, and bidder surplus to be substantially lower than conventional (IPV) analysis of the data would suggest. ∗ We are very thankful to the editor Jean-Marc Robin and three anonymous referees for their insightful feedback;

Eigenvalue Ratio Test for the Number of Factors

Econometrica 2013 81(3), 1203-1227
This paper proposes two new estimators for determining the number of factors (r) in static approximate factor models. We exploit the well-known fact that the r largest eigenvalues of the variance matrix of N response variables grow unboundedly as N increases, while the other eigenvalues remain bounded. The new estimators are obtained simply by maximizing the ratio of two adjacent eigenvalues. Our simulation results provide promising evidence for the two estimators.

Risk of Bayesian Inference in Misspecified Models, and the Sandwich Covariance Matrix

Econometrica 2013 81(5), 1805-1849
It is well known that, in misspecified parametric models, the maximum likelihood estimator (MLE) is consistent for the pseudo-true value and has an asymptotically normal sampling distribution with “sandwich” covariance matrix. Also, posteriors are asymptotically centered at the MLE, normal, and of asymptotic variance that is, in general, different than the sandwich matrix. It is shown that due to this discrepancy, Bayesian inference about the pseudo-true parameter value is, in general, of lower asymptotic frequentist risk when the original posterior is substituted by an artificial normal posterior centered at the MLE with sandwich covariance matrix. An algorithm is suggested that allows the implementation of this artificial posterior also in models with high dimensional nuisance parameters which cannot reasonably be estimated by maximizing the likelihood.

Land-Price Dynamics and Macroeconomic Fluctuations

Econometrica 2013 81(3), 1147-1184
We argue that positive co-movements between land prices and business investment are a driving force behind the broad impact of land-price dynamics on the macroeconomy. We develop an economic mechanism that captures the co-movements by incorporating two key features into a DSGE model: We introduce land as a collateral asset in firms' credit constraints, and we identify a shock that drives most of the observed fluctuations in land prices. Our estimates imply that these two features combine to generate an empirically important mechanism that amplifies and propagates macroeconomic fluctuations through the joint dynamics of land prices and business investment.

Dynamic Product Positioning in Differentiated Product Markets: The Effect of Fees for Musical Performance Rights on the Commercial Radio Industry

Econometrica 2013 81(5), 1763-1803
This article predicts how radio station formats would change if, as was recently proposed, music stations were made to pay fees for musical performance rights. It does so by estimating and solving, using parametric approximations to firms' value functions, a dynamic model that captures important features of the industry such as vertical and horizontal product differentiation, demographic variation in programming tastes, and multi-station ownership. The estimated model predicts that high fees would cause the number of music stations to fall significantly and quite quickly. For example, a fee equal to 10% of revenues would cause a 4.6% drop in the number of music stations within 2 1/2 years, and a 9.4% drop in the long run. The size of the change is limited, however, by the fact that many listeners, particularly in demographics that are valued by advertisers, have strong preferences for music programming. [PUBLICATION ABSTRACT]

Comment on "Commitment vs. Flexibility"

Econometrica 2013 81(5), 2113-2124
This comment corrects two results in the 2006 Econometrica paper by Amador, Werning, and Angeletos (AWA), that features a model in which individuals face a trade-off between flexibility and commitment. First, in contrast to Proposition 1 in AWA, we show that money-burning can be part of the ex ante optimal contract when there are two states. Second, in contrast to Proposition 2 in AWA, we show that money-burning can be imposed at the top (in the highest liquidity shock state), even when there is a continuum of states. We provide corrected versions of the above results. [PUBLICATION ABSTRACT]