Nikishin systems of three functions are considered. For such systems, the rate of convergence of simultaneous interpolating rational approximations with partially prescribed poles is studied. The solution is described in terms of the solution of a vector equilibrium problem in the presence of a vector external field.

We provide a bound on the size of simultaneous best response cycles for generic finite two-player games. The bound shows that no cycle will move through the entire strategy space as long as either player has more than two strategies. This bound increases quadratically in the size of the strategy spaces. It is the tightest possible in the sense that we can construct a generic game with a cycle t...

In this paper, we analyze the properties of nonparametric estimators of a regression function when some covariates are not directly observed, but have only been estimated by some nonparametric procedure. We provide general results that can be used to establish rates of consistency or asymptotic normality in numerous econometric applications, including nonparametric estimation of simultaneous eq...

Collusive equilibria exist in simultaneous ascending bid auctions with multiple objects, even with large complementarities in the buyers’ utility functions. The bidders collude by dividing the objects among themselves, while keeping the prices low. In the most collusive equilibrium the complementarities are never realized. The scope for collusion however narrows as the ratio between the number ...

A square-ordered field, also called Hilbert field of type (A), is understood to be an ordered field all of whose positive elements are squares. The problem of classifying, up to isomorphism, all 4-dimensional quadratic division algebras over a square-ordered field k is shown to be equivalent to the problem of finding normal forms for all pairs (X, Y ) of 3× 3-matrices over k, X being antisymmet...

Are Older Workers Worthy of Their Pay? An Empirical Investigation of Age-Productivity and Age-Wage Nexuses Using longitudinal employer-employee data spanning over a 22-year period, we compare age-wage and age-productivity profiles and find that productivity increases until the age range of 50-54, whereas wages peak around the age 40-44. At younger ages, wages increase in line with productivity ...

The control function approach (Heckman and Robb (1985)) in a system of linear simultaneous equations provides a convenient procedure to estimate one of the functions in the system using reduced form residuals from the other functions as additional regressors. The conditions on the structural system under which this procedure can be used in nonlinear and nonparametric simultaneous equations has ...

This paper considers three alternative ways to sell heterogenous licenses via a firstprice format when there is single unit demand. It has been suggested that incorporating a first-price element may bolster competition in this case (Klemperer, 2002). In a controlled laboratory setting, we compare the performance of the simultaneous first-price auction, the sequential first-price auction and the...

Wages, Sorting on Skill, and the Racial Composition of Jobs Wages for black and white workers are substantially lower in occupations with a high density of black employees, following standard controls. Such correlations can exist absent discrimination or as a result of discrimination. In wage level equations, the magnitude of the correlation falls sharply after controlling for occupational skil...

We find explicitly the multiplicities in the (mixed) trace cocharacter sequence of two 3 × 3 matrices over a field of characteristic 0 and show that asymptotically they behave as polynomials of seventh degree. As a consequence we obtain also the multiplicities of certain irreducible characters in the cocharacter sequence of the polynomial identities of 3× 3 matrices. Introduction All considerat...