Quantile treatment effects in the regression discontinuity design

We introduce a nonparametric estimator for local quantile treatment effects in the regression discontinuity (RD) design. The procedure uses local distribution regression to estimate the marginal distributions of the potential outcomes. We illustrate the procedure through Monte Carlo simulations and an application on the distributional effects of a universal pre-K program in Oklahoma. We find that participation in a pre-K program significantly raises the lower end and the middle of the distribution of test scores.     

Incentive effects of unemployment insurance savings accounts: Evidence from Chile

The paper, the first one to empirically examine whether individual accounts internalize the cost of unemployment, estimates the determinants of job finding rates of unemployment benefit recipients under the Chilean program. This is a unique, innovative program that combines social insurance, provided via solidarity funding, with self-insurance in the form of unemployment insurance savings accounts (UISAs). The paper shows that beneficiaries who use solidarity funding are less likely to exit unemployment in early months than those relying on UISAs only. Moreover, job finding rates are found to be positively correlated with pre-separation UISA balances among those that use solidarity funding, but are found to be uncorrelated with balances for those relying on UISAs only. While the findings are consistent with the effects expected under the internalization of unemployment costs via UISAs, they do not pinpoint unambiguously the causal link, as alternative mechanisms may be responsible for the observed correlations, particularly selection into the use of UISAs.     

Gender wage gap: A semi-parametric approach with sample selection correction

Sizeable gender differences in employment rates are observed in many countries. Sample selection into the workforce might therefore be a relevant issue when estimating gender wage gaps. We propose a semi-parametric estimator of densities in the presence of covariates which incorporates sample selection. We describe a simulation algorithm to implement counterfactual comparisons of densities. The proposed methodology is used to investigate the gender wage gap in Italy. We find that, when sample selection is taken into account, the gender wage gap widens, especially at the bottom of the wage distribution.     

Altruism, redistribution and social insurance

The paper examines the influence of altruism on voluntary transfers and government redistribution in a simple model: two jobs of different productivity are assigned by chance to two individuals. Ex ante the individuals are identical, ex post they have different incomes. The first part of the paper examines voluntary transfers determined ex post or agreed upon ex ante in the absence of altruism. In the second part, the influence of altruism is examined. Altruism is modelled as a pure public good: the minimum consumption (or income, since there is only one consumption good). Both individuals can contribute to its provision, one person by earning wage income, the other by voluntary transfers. The ex ante solutions generally lead to higher expected welfare but create several incentive problems. Only lump-sum transfers are considered. Received: 28 February 1997 / Accepted: 31 January 2000     

Empirical labor search: A survey

This paper surveys the existing empirical research that uses search theory to empirically analyze labor supply questions in a structural framework, using data on individual labor market transitions and durations, wages, and individual characteristics. The starting points of the literature are the Mincerian earnings function, Heckman's classic selection model, and dynamic optimization theory. We develop a general framework for the labor market where the search for a job involves dynamic decision making under uncertainty. It can be specialized to be in agreement with most published research using labor search models. We discuss estimation, policy evaluation with the estimated model, equilibrium model versions, and the decomposition of wage variation into factors due to heterogeneity of various model determinants as well as search frictions themselves. We summarize the main empirical conclusions.     

Corporate social responsibility and corporate performance: a quantile regression approach

This paper investigates the impact of corporate social responsibility activities on corporate performance. In view of the inconsistent empirical findings in the literature, and the limitations of least squares regressions, we adopt a quantile regression method to fill this gap in the literature. An important finding is that the sensitivity of a company’s performance to its engagement in corporate social responsibility activities does not vary with the quantile location of the firm’s performance level, and the engagement in corporate social responsibility activities has a significant positive relation with corporate performance across all quantiles. This study argues that undertaking corporate social responsibility leads to greater financial returns than the related costs. Therefore, this study concludes that engaging in corporate social responsibility is beneficial for firms, and thus worth implementing.     

Nonparametric estimation of a discontinuity in regression

We propose and study a new method to nonparametrically estimate a discontinuity of a regression function. The optimal rate of convergence n ⁻¹ is obtained under minimal assumptions. No smoothing is required.     

Asymptotics for panel quantile regression models with individual effects

This paper studies panel quantile regression models with individual fixed effects. We formally establish sufficient conditions for consistency and asymptotic normality of the quantile regression estimator when the number of individuals, n$n$, and the number of time periods, T$T$, jointly go to infinity. The estimator is shown to be consistent under similar conditions to those found in the nonlinear panel data literature. Nevertheless, due to the non-smoothness of the objective function, we had to impose a more restrictive condition on T$T$ to prove asymptotic normality than that usually found in the literature. The finite sample performance of the estimator is evaluated by Monte Carlo simulations.     

Manipulation of the running variable in the regression discontinuity design: A density test

Standard sufficient conditions for identification in the regression discontinuity design are continuity of the conditional expectation of counterfactual outcomes in the running variable. These continuity assumptions may not be plausible if agents are able to manipulate the running variable. This paper develops a test of manipulation related to continuity of the running variable density function. The methodology is applied to popular elections to the House of Representatives, where sorting is neither expected nor found, and to roll call voting in the House, where sorting is both expected and found.     

Structural vs. atheoretic approaches to econometrics

In this paper I attempt to lay out the sources of conflict between the so-called “structural” and “experimentalist” camps in econometrics. Critics of the structural approach often assert that it produces results that rely on too many assumptions to be credible, and that the experimentalist approach provides an alternative that relies on fewer assumptions. Here, I argue that this is a false dichotomy. All econometric work relies heavily on a priori assumptions. The main difference between structural and experimental (or “atheoretic”) approaches is not in the number of assumptions but the extent to which they are made explicit.     

Demographic structure and overlapping generations: A simpler proof with more general conditions

d’Albis (2007) considers a continuous-time general equilibrium overlapping-generations model with age-specific mortality rates. His proof of the existence and uniqueness of the steady-state equilibrium, which can be extended to other overlapping-generations models, relies on the shape of a function that appears in the equation defining the equilibrium. By focusing on the mean age as a function of the stable population growth rate instead of the function used in d’Albis (2007), we provide a simpler proof with more general conditions. We also obtain useful properties about the first and second derivatives of the mean age function that can be applied in future work.     

The political economy of housing prices: Hedonic pricing with regression discontinuity

This paper uses hedonic pricing to empirically estimate the value of publicly provided local goods and services in the constituencies of the ruling party relative to those of the opposition parties. To improve control for omitted variables that change smoothly over space, we use a regression discontinuity design to restrict the sample to houses that are near the electoral boundaries. Using resale market prices of public flats in Singapore, in some cases we find a moderate but highly statistically significant difference in housing prices across the electoral boundaries that separate the constituencies of the ruling party and the opposition parties.     

Work out or out of work — The labor market return to physical fitness and leisure sports activities

This study is the first to present evidence of the return to leisure sports in the job hiring process by sending fictitious applications to real job openings in the Swedish labor market. In the field experiment job applicants were randomly given different information about their type and level of leisure sports. Applicants who signaled sports skills had a significantly higher callback rate of about 2 percentage points, and this effect was about twice as large for physically demanding occupations.Additional evidence of a sports premium in the regular labor market is arrived at when analyzing the long-run impact of physical fitness on later labor market outcomes. The analysis uses register data on adult earnings and physical fitness when enlisting at age 18. The fitness premium, net of unobservable family variables, is in the order of 4-5%, but diminishes to 2% when controlling for non-cognitive skills.     

A collective labor supply model with complementarities in leisure: Identification and estimation by means of panel data

We present a novel identification strategy for a collective labor supply model that allows for complementarities in leisure (i.e., individuals may enjoy leisure more in company of their spouse). Individual preferences and the Pareto weights (which capture the intra-household bargaining process) are identified by making use of panel data with couples and individuals who became a widow(er) in the observation period, along with the assumption that an individual's preferences can only change in a particular manner after the spouse's death. The change in preferences comes from changes in observable variables that can be controlled for (like mental health) and from the loss of the possibility to jointly enjoy leisure after the couple's dissolution. We apply the model to American households coming from the first nine waves of the Health and Retirement Study (1992-2008) and show that complementarities in leisure are indeed important when modeling spouses' labor supply choices.     

Instrumental variable quantile regression: A robust inference approach

In this paper, we develop robust inference procedures for an instrumental variables model defined by Y=D^′α(U)$Y=D^{\prime }\alpha (U)$ where D^′α(U)$D^{\prime }\alpha (U)$ is strictly increasing in U and U is a uniform variable that may depend on D but is independent of a set of instrumental variables Z. The proposed inferential procedures are computationally convenient in typical applications and can be carried out using software available for ordinary quantile regression. Our inferential procedure arises naturally from an estimation algorithm and has the important feature of being robust to weak and partial identification and remains valid even in cases where identification fails completely. The use of the proposed procedures is illustrated through two empirical examples.     

Endogeneity in quantile regression models: A control function approach

This paper considers a linear triangular simultaneous equations model with conditional quantile restrictions. The paper adjusts for endogeneity by adopting a control function approach and presents a simple two-step estimator that exploits the partially linear structure of the model. The first step consists of estimation of the residuals of the reduced-form equation for the endogenous explanatory variable. The second step is series estimation of the primary equation with the reduced-form residual included nonparametrically as an additional explanatory variable. This paper imposes no functional form restrictions on the stochastic relationship between the reduced-form residual and the disturbance term in the primary equation conditional on observable explanatory variables. The paper presents regularity conditions for consistency and asymptotic normality of the two-step estimator. In addition, the paper provides some discussions on related estimation methods in the literature.     

Wavelet analysis of change-points in a non-parametric regression with heteroscedastic variance

In this paper we develop wavelet methods for detecting and estimating jumps and cusps in the mean function of a non-parametric regression model. An important characteristic of the model considered here is that it allows for conditional heteroscedastic variance, a feature frequently encountered with economic and financial data. Wavelet analysis of change-points in this model has been considered in a limited way in a recent study by Chen et al. (2008) with a focus on jumps only. One problem with the aforementioned paper is that the test statistic developed there has an extreme value null limit distribution. The results of other studies have shown that the rate of convergence to the extreme value distribution is usually very slow, and critical values derived from this distribution tend to be much larger than the true ones. Here, we develop a new test and show that the test statistic has a convenient null limit N(0,1) distribution. This feature gives the proposed approach an appealing advantage over the existing approach. Another attractive feature of our results is that the asymptotic theory developed here holds for both jumps and cusps. Implementation of the proposed method for multiple jumps and cusps is also examined. The results from a simulation study show that the new test has excellent power and the estimators developed also yield very accurate estimates of the positions of the discontinuities.     

Labor turnover before plant closure: “Leaving the sinking ship” vs. “Captain throwing ballast overboard”

Involuntary job loss in administrative data is commonly identified by exploiting the exogenous nature of mass layoffs or plant closures. However, prior knowledge can lead to selection in the labor turnover of distressed firms. This paper proposes a simple method to determine if and when selective turnover sets in. Based on a rich administrative data set for Austria, we show that separations up to two quarters before plant closure should be included in the treatment group. Moreover, we find that early leavers are associated with significantly lower costs of job loss due to plant closure.     

The influence of gay and lesbian coupled households on house prices in conservative and liberal neighborhoods

Gays and lesbians perceive themselves to be targets of discrimination in the housing market. Previous research has found that the presence of gays and lesbians is associated with increased housing values. We reconcile the perceived discrimination and research results by classifying neighborhoods as more conservative or liberal according to voting outcomes of the “Defense Of Marriage Act”. Using a data set comprised of over 20,000 house sale observations, we show that an increase in the number of same-sex coupled households is associated with an increase in house prices in more liberal neighborhoods and a decrease in house prices in more conservative neighborhoods. This suggests that gay and lesbian coupled households do experience prejudice in conservative neighborhoods.