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Dan Ben-Moshe

Publications and source records attributed to Dan Ben-Moshe.

6 recordsLinked to original sources

Technology Shocks, Relative Performance Measures, and Outcomes: Evidence from Classical Chess

In the fall of 2020, neural-network methods produced a large improvement in chess engines that became freely and widely available. By the end of 2021, the monthly draw rate in classical chess had risen by about four percentage points, but the distribution of player ratings, which are commonly read as measures of playing strength, had changed little. Ratings, however, are a relative measure, built from results against other rated players rather than from an absolute scale of play quality, so an improvement shared broadly across players need not change their ratings. Using 3.9 million rated classical games from March 2015 to November 2023, we document that the increased draw rate remains after conditioning on both players' ratings, holds within repeated same-color matchups, is not a continuation of a pre-existing trend, and persists through the end of the sample. A linear transformation that maps post-Covid ratings to higher pre-Covid equivalents, with a larger gap at lower ratings, accounts for more than 90 percent of the post-minus-pre shift in the fitted draw, White-win, and Black-win probabilities. Players' ratings and ranks, by contrast, show no additional rank reshuffling and no general widening of within-group dispersion relative to the pre-Covid benchmark. We interpret these findings as consistent with adoption across rating levels, with larger rating-equivalent gains for lower-rated players.

econ.GN

Unbiased Estimation of Central Moments in Unbalanced Two- and Three-Level Models

This paper derives closed-form unbiased estimators of central moments in multilevel random-effects models with unbalanced group sizes. In a two-level model, we provide unbiased estimators for the second, third, and fourth central moments under both group-level and observation-level averaging. In a three-level model, we provide unbiased estimators for the second and third central moments.

econ.EM

Assignment at the Frontier: Identifying the Frontier Structural Function and Bounding Mean Deviations

This paper analyzes a model in which an outcome equals a frontier function of inputs minus a nonnegative unobserved deviation. The inputs may be endogenous (statistically dependent on the deviation). If zero lies in the support of the deviation given the inputs -- an assumption we term assignment at the frontier -- then the frontier is identified by the supremum of the outcome given those inputs, obviating the need for instruments. We then consider estimation with random error that is mean-independent of the inputs. Motivated by the assignment at the frontier assumption, we regularize estimation by requiring the fitted distribution of the deviation to maintain a minimum probability mass in a neighborhood of zero. Finally, we derive a lower bound on mean deviation, using only variance and skewness, that is robust to scarcity of data near the frontier. We apply our methods to estimate a frontier production function and mean inefficiency.

econ.EM

Identifying an Earnings Process With Dependent Contemporaneous Income Shocks

This paper proposes a novel approach for identifying coefficients in an earnings dynamics model with arbitrarily dependent contemporaneous income shocks. Traditional methods relying on second moments fail to identify these coefficients, emphasizing the need for nongaussianity assumptions that capture information from higher moments. Our results contribute to the literature on earnings dynamics by allowing models of earnings to have, for example, the permanent income shock of a job change to be linked to the contemporaneous transitory income shock of a relocation bonus.

econ.EM

Regulation and Frontier Housing Supply

Regulation is a major driver of housing supply, yet often difficult to observe directly. We show that frontier cost, the non-land cost of producing housing absent regulation, is identified from prices and quantities alone, without instruments even when quantity is endogenous in a mean regression. Identification requires regulation to enter as a nonnegative wedge with zero in its conditional support. The difference between price and frontier cost yields the regulatory tax. We apply the approach to new multi-floor, multi-family residential construction in Israel. Accounting for random housing quality, we estimate economies of scale at low heights (minimum efficient scale about five floors), nearly constant marginal cost at middle heights, and an elasticity of substitution between land and non-land inputs of about 0.15 to 0.2 at the greatest heights. The estimated mean regulatory tax is 47% of housing prices, with substantial variation across locations, and is positively correlated with centrality, density, and prices. We also construct a lower bound allowing quality to differ systematically over location and time, assuming weak complementarity between quality and demand. In 2017, when prices were highest in our sample and the bound is most informative, we bound the mean regulatory tax between 38% (using a 2km radius) and 53%.

econ.GN

Identification of Linear Regressions with Errors in all Variables

This paper analyzes the classical linear regression model with measurement errors in all the variables. First, we provide necessary and sufficient conditions for identification of the coefficients. We show that the coefficients are not identified if and only if an independent normally distributed linear combination of regressors can be transferred from the regressors to the errors. Second, we introduce a new estimator for the coefficients using a continuum of moments that are based on second derivatives of the log characteristic function of the observables. In Monte Carlo simulations, the estimator performs well and is robust to the amount of measurement error and number of mismeasured regressors. In an application to firm investment decisions, the estimates are similar to those produced by a generalized method of moments estimator based on third to fifth moments.

stat.ME