Macro‐integration with inequality constraints: an application to the integration of transport and trade statistics

Macro‐integration is the process of combining data from several sources at an aggregate level. We review a Bayesian approach to macro‐integration with special emphasis on the inclusion of inequality constraints. In particular, an approximate method of dealing with inequality constraints within the linear macro‐integration framework is proposed. This method is based on a normal approximation to the truncated multivariate normal distribution. The framework is then applied to the integration of international trade statistics and transport statistics. By combining these data sources, transit flows can be derived as differences between specific transport and trade flows. Two methods of imposing the inequality restrictions that transit flows must be non‐negative are compared. Moreover, the figures are improved by imposing the equality constraints that aggregates of incoming and outgoing transit flows must be equal.     

A new look at static spatial price equilibrium models

In this paper we propose a new view and more general formulations of static single commodity spatial equilibrium models, that lead to simpler and more efficient algorithms than those previously employed for solving models of this type. The proposed formulations incorporate general transportation networks and may be extended to allow for multiple commodities. Solution algorithms are suggested for the problem with multiple commodities, when there exists an equivalent optimization problem. We show that the multiple commodity problem may be cast in the form of a variational inequality, when there does not exist an equivalent optimization problem and propose algorithms to solve this version of the problem as well.     

A nonlinear approach to a class of combinatorial optimization problems

A special class of combinatorial optimization problems is considered. We develop a compact nonconvex quadratic model for these problems that incorporates all inequality constraints in the objective function, and discuss two approximation algorithms for solving this model. One is inspired by Karmarkar's potential reduction algorithm for solving combinatorial optimization problems; the other is a variant of the reduced gradient method. The paper concludes with computational experiences with both real-life and randomly generated instances of the frequency assignment problem. Large problems are satisfactorily solved in reasonable computation times.     

Bounding quantile demand functions using revealed preference inequalities

This paper develops a new approach to the estimation of consumer demand models with unobserved heterogeneity subject to revealed preference inequality restrictions. Particular attention is given to nonseparable heterogeneity. The inequality restrictions are used to identify bounds on counterfactual demand. A nonparametric estimator for these bounds is developed and asymptotic properties are derived. An empirical application using data from the UK Family Expenditure Survey illustrates the usefulness of the methods.     

收入流动性对收入不平等的影响

虽然收入流动性在收入分配研究领域正在逐渐升温,但收入流动性对收入不平等的影响这一关键问题的研究不足。文章推导了Gini系数在绝对收入流动性矩阵中对应的表达式,分析了收入流动性矩阵对不平等程度的作用途径。并利用1998年-2002年的收入面板数据验证了该理论分析。实证分析表明,由于向收入高低两端流动的力量增长较快并在势头上超过了同样增长的向中等收入水平流动的力量,整体的收入不平等程度恶化了。     

Simple tests of alternative specifications in stochastic frontier models

Previous work on stochastic production frontiers has generated a family of models, of varying degrees of complexity. Since this family is nested (in the sense that the more general models contain the less general), we can test the restrictions that distinguish the model. In this paper we provide tests of these restrictions, based on the results of estimating the simpler (restricted) models. Some of our tests are LM tests. However, in other cases the LM test fails, so we provide alternative simple tests.     

Testing joint hypotheses when one of the alternatives is one-sided

We propose a class of statistics where the direction of one of the alternatives is incorporated. It is obtained by modifying a class of multivariate tests with elliptical confidence regions, not necessarily arising from normal-based distribution theory. The resulting statistics are easy to compute, they do not require the re-estimation of models subject to one-sided inequality restrictions, and their distributions do not require bounds-based inference. We derive explicit distribution and power functions, using them to prove some desirable properties of our class of modified tests. We then illustrate the relevance of the method by applying it to devising an improved test of random walks in autoregressive models with deterministic components. In this example, the usual alternative to a unit root is one-sided in the direction of stable roots, while deterministic components are allowed to go either way, and we show that it is beneficial to take the partially one-sided nature of the alternative into account.     

Does Libertè = Egalité? A Survey of the Empirical Links between Democracy and Inequality with Some Evidence on the Transition Economies

Abstract.  The effect of the distribution of political rights on income inequality has been studied both theoretically and empirically. This paper reviews the existing literature and, in particular, the available empirical evidence. Our reading of the literature suggests that formal exclusion from the political process through restrictions on the voting franchise appears to have caused a high degree of economic inequality, and democratization in the form of franchise expansion especially for women, has more often than not led to an expansion in redistribution, at least in the small sample of episodes studied. In a less pronounced way, albeit more emphatically compared to the ambiguous results of the earlier research, the recent evidence indicates an inverse relationship between other measures of democracy, based on civil liberties and political rights, and inequality. The transition experience of the East European countries, however, seems to some extent to go against these conclusions. This, in turn, opens possible new vistas for research, namely the need to incorporate the length of democratic experience and the role played by ideology and social values.     

Rational and polynomial lags: The finite connection

This article demonstrates that, for a finite distributed lag, the polynomial distributed lag (PDL) approximation suggested by Almon is a special case of the rational lag method formalized by Jorgenson. The proof relies upon the fact that the PDL estimator imposes differencing restrictions upon the parameters while rational lag methods impose quasi-differncing restrictions. Because of this relationship, the PDL restrictions are nested inside the rational lag ones, and this provides for a sequence of tests to discriminate between the two. An example is performed and an appendix describes an asymptotically efficient two-step estimator.     

Inequality of opportunity in secondary school enrolment in Italy,Germany and the Netherlands

Aim of this work is to evaluate the overall effect of social origins on secondary school track enrolment in Italy, Germany and Netherlands, allowing for consistent cross country comparisons. Track choices are assumed to depend on student’s ability and social origins; since proficiency before tracking is not observed, ability is not kept under control. Nonetheless, the unconditional social background effect is the quantity of main substantive interest because it represents the total effect of social origins on school choices. Yet, since regression coefficients in logit models are biased even with independent unobserved heterogeneity, comparison across countries are difficult; the average sample derivative of the response probability is employed and it is showed to be a valid alternative measure of the total social origins effect. The following issue is also addressed: social origins inequality in secondary school choices may be affected by access restrictions policies, at work in some countries, where enrolment into the academic track is subject to binding school recommendations or ability tests. First, we propose a simple theoretical model and derive that the policy is expected to lower the effect of social origins conditional on ability, although the impact on the total effect can either decrease or increase. Second, by exploiting the institutional differences across German Länder with respect to enrolment policies, we carry out a preliminary empirical analysis within Germany. The main empirical findings are: (i) the total effect of social origins on track choice is weaker in the Netherlands and stronger in Germany, with Italy in between; (ii) within Germany, access restriction seem to weaken the parental background effect.     

The incentive for working hard: explaining hours worked differences in the US and Germany

This paper seeks to explain the greater hours worked by Americans compared to Germans in terms of forward-looking labor supply responses to differences in earnings inequality between the countries. We argue that workers choose current hours of work to gain promotions and advance in the distribution of earnings. Since US earnings are more unequally distributed than German earnings, the same extra work pays off more in the US, generating more hours worked. Supporting this inequality–hours hypothesis, we show that in both countries hours worked is positively related to earnings inequality in cross-section occupational contrasts and that hours worked raises future wages and promotion prospects in longitudinal data.     

Short-selling restrictions,takeovers and the wealth of long-run shareholders

In this paper we consider a situation in which a firm may be able to influence the investors’ ability to short-sell its stock. We analyze the effect short-selling restrictions have on the market price and the subsequent effect generated on the market for corporate control. More precisely, we argue that short-selling restrictions may lead to exclusion of pessimistic beliefs and may therefore inflate prices. Thus, if a company is poorly managed and has a stock with strong short-selling restrictions, a profitable takeover will not emerge because of the high stock price. The raider may not have the incentives to acquire the company as its price will be above its fundamental value, conditional on takeover, even accounting for the potential benefits of takeover. We then argue that such effects are detrimental to long-run shareholders and that a value-maximizing strategy is to have a stock with no short-selling restrictions.     

Hedonic prices and composite commodities

In this paper we conjecture and, to an extent, prove that recently noted restrictions required for the logical coherence and empirical relevance of hedonic price models make these models no more general than traditional housing services models. In particular, intra-urban variation in hedonic prices may not be substantively related to market equilibration at all, and therefore is not evidence for the existence of housing sub-markets. Moreover, in the case of jointly produced housing characteristics, the hedonic price models are found to be less general than the traditional homogeneous housing services models.     

Multilinear approximation on rectangles and the related moment problem

The Edmundson–Madansky (E–M) inequality provides an upper bound of the expectation of a convex function of a random vector, provided the components of the random vector are stochastically independent. Frauendorfer and Kall extended the E–M inequality to the dependent case. This paper provides the natural algebraic setting for this extension. It is shown that multilinear approximation is the basic idea. The results and the calculations are simplified considerably by the use of Kronecker products. Moreover, the class of all functions for which the general E–M bound holds is characterized completely. It includes many nonconvex functions, for instance the multi-chord-dominated functions, which include the multiconvex functions.     

THEORETICAL AND PRACTICAL ARGUMENTS FOR MODELING LABOR SUPPLY AS A CHOICE AMONG LATENT JOBS

Models of labor supply derived from stochastic utility representations and discretized sets of feasible hours of work have gained popularity because they are more practical than the standard approaches based on marginal calculus. In this paper we argue that practicality is not the only feature that can be addressed by means of stochastic choice theory. This theory also offers a powerful framework for developing a more realistic model for labor supply choices, founded on individuals having preferences over jobs and facing restrictions on the choice of jobs and hours of work. We discuss and clarify how this modeling framework deviates from both the conventional discrete approach [Van Soest, A. ( 1995 ) Structural models of family labor supply. A discrete choice approach. Journal of Human Resources 30: 63–88), as well as the standard textbook approach based on marginal calculus (Hausman, J.A. ( 1992 ) The econometrics of nonlinear budget sets. Econometrica 53: 1255–1282]. We furthermore discuss how the model based on job choice can be applied to simulate effects of alternative restrictions on hours of work.     

Separate when equal? Racial inequality and residential segregation

This paper sets out a new mechanism involving the emergence of middle-class black neighborhoods that can lead segregation in American cities to increase as racial inequality narrows. The formation of such neighborhoods requires a critical mass of highly educated blacks in the population, and leads to an increase in segregation when those communities are attractive for blacks who would otherwise reside in middle-class white neighborhoods. To assess the empirical importance of this “neighborhood formation” mechanism, we propose a two-part research design. First, inequality and segregation should be negatively related in cross section for older blacks if our mechanism operates strongly, as we find using both the 1990 and 2000 Censuses. Second, a negative relationship should also be apparent over time, particularly for older blacks. Here, we show that increased educational attainment of blacks relative to whites in a city between 1990 and 2000 leads to a significant rise in segregation, especially for older blacks, and to a marked increase in the number of middle-class black communities. These findings draw attention to a negative feedback loop between racial inequality and segregation that has implications for the dynamics of both phenomena.     

SOURCES OF REGIONAL INCOME INEQUALITY: AN EXAMINATION OF SMALL REGIONS IN QUEENSLAND

In this study, data for the 125 Local Government Areas of Queensland are used to explain the cross-sectional variation in the Gini coefficient of income inequality. This study updates earlier work for Australian regions that has used the 1981, 1986 and 1991 census data sets and incorporates a wider range of variables, allowing the testing of several competing hypotheses. The study commences with an analysis of the spatial pattern of income inequality in Queensland. Previous work in this area has not considered problems such as spatial autocorrelation, and although no evidence of this is found, the testing uncovers heteroscedasticity with the estimation techniques used in the final version of the model accounting for this problem.     

An expository critique of the Takayama—Judge models of interregional and intertemporal market equilibrium

In this paper an attempt is made to expound the spatial-temporal multi-product allocation and price equilibrium models originally proposed by Takayama and Judge (1971). Certain restrictive features of these models are highlighted and an alternative specification which overcomes these restrictions and replaces both the single and multiple storage period models of Takayama and Judge is outlined. The enhanced realism of this new model and its relatively simple structure should commend it to regional economists concerned with policy questions involving the production and distribution of a wide range of commodities.     

Identifying, estimating and testing restricted cointegrated systems: An overview

The notion of cointegration has led to a renewed interest in the identification and estimation of structural relations among economic time series. This paper reviews the different approaches that have been put forward in the literature for identifying cointegrating relationships and imposing (possibly over-identifying) restrictions on them. Next, various algorithms to obtain (approximate) maximum likelihood estimates and likelihood ratio statistics are reviewed, with an emphasis on so-called switching algorithms. The implementation of these algorithms is discussed and illustrated using an empirical example.