A class of fair distribution rules à la Rawls and Sen

Summary. This paper discusses and develops “non-welfaristic” arguments on distributive justice à la J. Rawls and A. K. Sen, and formalizes, in cooperative production economies, “non-welfaristic” distribution rules as game form types of resource allocation schemes. First, it conceptualizes Needs Principle which the distribution rule should satisfy if this takes individuals' needs into account. Second, one class of distribution rules which satisfy Needs Principle, a class of J-based Capability Maximum Rules, is proposed. Third, axiomatic characterizations of the class of J-based Capability Maximum Rules are provided. Received: July 30, 1999; revised version: March 11, 2002 RID="*" ID="*" We are grateful to an anonymous referee of this journal, Professors Marc Fleurbaey, Nicolas Gravel, Ryo-ichi Nagahisa, Prasanta Pattanaik, Kotaro Suzumura, Koich Tadenuma, and Yongsheng Xu for their fruitful comments. An earlier version of this paper was published with the title name, “A Game Form Approach to Theories of Distributive Justice: Formalizing Needs Principle” as the Discussion Paper No. 407 of the Institute of Social and Economic Research, Osaka University, and in the proceedings of the International Conference on Logic, Game, and Social Choice held at Oisterwijk in May 1999. That version was also presented at the 3rd Decentralization Conference in Japan held at Hitotsubashi University in September 1997, at the annual meeting of the Japan Association of Economics and Econometrics held at Waseda University in September 1997, and the 4th International Conference of Social Choice and Welfare held at University of British Colombia in July 1998. This research was partially supported by the Japanese Ministry of Education and the Ministry of Health and Welfare. Correspondence to: N. Yoshihara     

What can we learn from the distribution of trade patterns?

This paper proposes an empirical framework for analyzing the dynamics of trade specialization, using a symmetric transformation of the standard Balassa (Manch Sch Econ Soc Stud 33(2):99–123, 1965) index and the conditional density estimation methods suggested by Hyndman et al. (J Comput Graph Stat 5(4):315–336, 1996). The framework is implemented using data on the cross-sector export and import specialization of the four initial EU Cohesion countries over the last 40 years. We discuss the importance of studying both the distribution’s external shape and the intra-distribution dynamics and why it is interesting to include imports in the analysis. We find a reduction of the overall degree of export specialization in Portugal, Greece and Spain. Conversely, Ireland has the strongest export specialization and there is evidence of an increase over time. The export intra-distribution dynamics reveal persistence of the specialization status in the four countries, especially for high values of the index. In all countries, the degree of specialization is higher for exports than for imports and intra-distribution dynamics reveal more mobility of import specialization than that of exports.     

Finite-sample distribution of the augmented Dickey–Fuller test with lag optimization

This article presents a response surface analysis for the distribution of the augmented Dickey–Fuller (ADF) test with optimized lag order in the autoregression using frequently applied data-dependent methods. Simulation results demonstrate that finite-sample distribution of the test depends critically on the lag-order determination rule. The univariate test and its panel counterparts exhibit size distortion when the lag order in the autoregression is optimized but inappropriate distribution is employed in test implementation. Response surface coefficients reported for the finite-sample distribution of the test with lag optimization are therefore useful tools for practitioners in applied research. The simulation evidence and practical use of the response surface coefficients are substantiated with empirical illustrations.     

Regional distribution and dynamics of human capital in China 1985–2014

This study investigates the regional distribution and dynamics of human capital in China. We develop a new comprehensive human capital measure based on the Jorgenson-Fraumeni (J-F) lifetime income framework, in addition to using the traditional education-based human capital measures. We find that the new J-F human capital measure reflects more closely the regional economic disparity than the education-based measures. We also conduct a Divisia decomposition analysis to investigate the contributions of different factors to the quantity and quality growth of human capital and to regional disparity. Our results show that the regional human capital gaps in China are enlarging in general. Education and urbanization contribute most to human capital growth, while population aging shows a strong negative effect. Our estimates create a new provincial level human capital panel dataset from 1985 to 2014, which is useful for empirical work and policy analysis.     

Efficiency analysis of German electricity distribution utilities – non-parametric and parametric tests

This study applies non-parametric and parametric tests to assess the efficiency of electricity distribution companies in Germany. Traditional issues in electricity sector benchmarking are addressed, such as the role of scale effects and optimal utility size, as well as new evidence specific to the situation in Germany. Labour, capital, and peak load capacity are used as inputs, and units sold and the number of customers as output. The data cover 307 (out of 553) German electricity distribution utilities. A data envelopment analysis (DEA) is applied with constant returns to scale (CRS) as the main productivity analysis technique, whereas stochastic frontier analysis (SFA) with distance function is the verification method. The results suggest that returns to scale play but a minor role; only very small utilities have a significant cost advantage. Low customer density is found to affect the efficiency score significantly, in particular in the lower third of all observations. Surprisingly, East German utilities feature a higher average efficiency than their West German counterparts. The correlation tests imply a high coherence of the results.     

Price and nominal wage Phillips curves and the dynamics of distribution in Japan†

This study estimates two types of Phillips curves – the price Phillips curve and nominal wage Phillips curve – for the Japanese economy and analyses the institutional structure of the dynamics of effective demand and income distribution in each period from 1977 to 2007. The estimated results allow us to make the following three findings. First, the Japanese economy was a profit-led regime and a counter-cyclical wage share regime. The combination of regimes can make the dynamics of effective demand and income distribution unstable. Second, the dynamics of price and nominal wage do not reflect each other in Japan by labour–management cooperation. Finally, after 1997, the distributive regime in Japan switched from a counter-cyclical wage share to a pro-cyclical wage share regime because Japanese firms quickened their speeds of employment adjustment. As a result, the dynamics of effective demand and income distribution were stabilised.     

Assessing probabilities of unique events： Calibrating qualitative likelihood judgments into a probability distribution

Multifaceted events in an organizational environment usually need to be assigned probabilities as a prerequisite to analytical decision-making. If the decision situation is unique, a lack of relevant historical frequency data may preclude use of traditional probability models such as the normal, binomial etc. In this case, an individual decision maker （DM） or an informed group of persons can input into a procedure as outlined here to determine a probability distribution that leads to the expected values of alternative actions or fair values of securities. The individual or group member must decide qualitatively on the extent to which one event is ＂more likely＂ than another where both events are ranked adjacent （i.e., closest to each other） in terms of likelihood. Even though the individual or group members may lack experience in orthodox probability assessment, these pairwise ＂more likely＂ judgments on the relative likelihood of events are not overly demanding for persons familiar with the possible outcomes in the situation under analysis.     

Profit-sharing versus interest-taking in the Kaldor–Pasinetti theory of income and profit distribution

Abstract

This paper reformulates the Kaldor–Pasinetti model of income and profit distribution by introducing the interest rate from the very outset of the model but maintaining other Kaldor–Pasinetti assumptions intact. It is shown that the profit rate and the share of profits in national income are not independent from either the capitalists' or workers' propensity to save. Many contributors to the theory of income and profit distribution have erred in attributing a potentially positive impact of the interest rate upon profits. The interest rate is always and everywhere a tax on functional and personal incomes together. This result explains Schumpeter's observation that ‘Interest acts as a tax upon profit.’ In an alternative model, workers receive a share of profits instead of fixed contractual interest. It is shown that the profit rate and share are not independent from either propensity to save. Furthermore, the workers' share of profits has a positive impact on the rate and share of profits. This implies that a profit sharing regime could be more conducive to capital accumulation and job creation. It is found that Pasinetti's Cambridge Equation is more akin to a profit sharing regime.     

Can the link between functional and personal income distribution enhance the analysis of inequality?

The aim of this paper is to present a framework which links functional and personal income distribution. In the first part of the paper, Piketty’s book “Capital in the XXI Century” is briefly reviewed. Piketty’s framework is discussed arguing that it can only partially explain levels and changes within personal income distribution. Piketty links the returns from capital r to the rate of growth of national income g in a very innovative way comparing them within a macroeconomic framework. He claims that when returns on capital rise more quickly than the overall economy and taxes on capital remain low, a vicious circle of ever-growing dynastic wealth and growing concentration of wealth takes place. However, the rise in the inequality of personal income distribution cannot only be explained by the rise of capital incomes. An analysis of the generation of personal incomes, and consequently of inequality, requires a suitable framework that links incomes at the macroeconomic level (national accounts) and incomes at the level of the individual/household. It is possible to set up this framework starting from individual endowments and their link to the productive structure: that is to what can be called the “generating function of personal income.” This function transforms personal endowments into personal earnings, given the productive structure, the technologies, and the market rules that determine the functional distribution. Personal income distribution and its inequality are linked to the functional one through the shares of capital and labor owned by each individual. The framework introduced here seems to be a suitable tool to account for the fact that personal income distribution is inextricably tied up to different sources of inequality in the distribution of national income. Sources come from institutional and productive structures (matrix Y), but also from the distribution of endowments and of individual/household entitlements (matrix S). This approach, we argue, allows for the assessment and evaluation of the effects of “ambitious new policies,” aimed at reducing poverty and inequality ex-ante, as suggested by Atkinson in his last book.     

Low prices cum selective distribution versus high prices: how best to signal quality?

We investigate the best signalling strategy for a monopoly introducing a new product with unobservable quality when second-period sales are linked to first-period ones and the firm may tailor its distribution network to exclude some consumers. When producing a high quality product rather than a low quality one is relatively costly with respect to the increase in quality, optimal signalling is by price alone. But when the cost differential is lower, it will be optimal to set a low first-period price, not to serve all would-be consumers at this price (selective distribution) and raise the price afterwards. Paradoxically, this strategy allows a larger customer base to be reached than in the case of pure price signalling.     

Quantitative research of annual runoff distribution characteristics in the Dagujia River basin, Yantai, China

Mann-Kendall method and minimum variance method are used in this study to analyze the mean value variable-point of the runoff data observed by Fushan Hydrological Station in the Dagujia River basin from 1966 to 2004. Based on the results, the runoff time is divided into four periods with the similar hydrological variation character. The annual runoff distribution characters in the Dagujia River basin are discussed by using the non-uniform coefficients, concentration degree and concentration period, variation range, etc. The results indicate that： （1） River runoff is very unevenly distributed throughout the year in Dagujia River. About 90% of runoff is in the period from June to October, while the runoff from November to April of the next year is lower. （2） The annual runoff distribution characters during 1966-1971 are very similar to that of 1982-1996, and the runoff of1972-1981 is almost similar to that of 1997-2004. （3） The annual runoff distribution characters have changed obviously during 1997-2004 compared with the other periods, which makes it more difficult to exploit and use the water resource in the future.     

Interest rates,distribution and capital accumulation – A post-Kaleckian perspective on the US and Germany

We analyse the effects of interest rate variations on the rates of capacity utilisation, capital accumulation and profit in a simple post-Kaleckian distribution and growth model. This model gives rise to different potential accumulation regimes depending on the values of the parameters in the investment, saving and distribution function. Estimating these core behavioural equations for the US and Germany in the period 1960–2007, we find significant and robust effects of interest payments with the expected sign in each of the equations. Our estimation results imply, both for the US and for Germany, that the effects of changes in the real long-term rate of interest on the equilibrium rates of capacity utilisation, capital accumulation and profits, are characterised by the ‘normal regime’: rising long-term real rates of interest cause falling rates of capacity utilisation, capital accumulation and profits, as well as redistribution at the expense of labour income and hence an increasing profit share in both countries.     

The wages‐and‐profits fund: Classical remnants in Marshall's early theory of distribution

Abstract

This paper traces the development of Marshall's theory of wages from the late 1860s to the publication of the first edition of the Principles of Economics (1890). Section one attempts to unravel Marshall's recollections of early intellectual influences, many of which were often distorted or wrong. Specifically, J. S. Mill's, Fleeming Jenkin's and J. H. von Thünen's influence on Marshall's early theory of distribution is explored in this context. In section two, analyses of Marshall's theory of wages in Economics of Industry (1879) and in other published writings is presented. This section draws attention to the similarity between Marshall's treatment of wages and the classical wage fund doctrine. In the final section, we re‐examine Marshall's defence of his theory of value and distribution in the Economics of Industry in the face of criticism of it by American economists S. M. MacVane and J. L. Laughlin in the Quarterly Journal of Economics.     

The unequal distribution of unequal pay – An empirical analysis of the gender wage gap in Switzerland

In this paper we analyze the distribution of the gender wage gap. Using microdata for Switzerland we estimate conditional wage distribution functions and find that the total wage gap and its discrimination component are not constant over the range of wages. At low wages an overproportional part of the wage gap is due to discrimination. In a further analysis of specific individuals we examine the wage gap at different quantiles and propose a new measure to assess equal earnings opportunities. These additional results reveal that it is primarily low education that causes the large discrimination component at low wages. First version received: April 1999/Final version accepted: July 2000     

Economic class and the distribution of income: a time-series analysis of the UK economy, 1955–2010

This paper contributes to our understanding of the determinants and dynamics of surplus-value using quarterly UK data, 1955–2010, and the Johansen (1988 Johansen, S. 1988. Statistical analysis of cointegrated vectors. Journal of Economic Dynamic and Control, 12: 231–54. [Crossref], [Web of Science ®] , [Google Scholar], 1991 Johansen, S. 1991. Estimation and hypothesis of cointegration vectors in Gaussian vector autoregressive models. Econometrica, 59: 1551–80. [Crossref], [Web of Science ®] , [Google Scholar]) cointegration and vector error correction model (VECM). A model is introduced to define this Marxian concept, before we explain distribution, paying attention to three forces that are traditionally seen as drivers of power in this struggle: (i) working class militancy; (ii) the size of the ‘reserve army’ of the unemployed; and (iii) political party. Our results demonstrate the ongoing relevance of Marxian economics in providing an alternative, robust and significant explanation of distribution in the post-war UK economy.     

The distribution of income in Sri Lanka in 1969–1970 and 1980–1981: A decomposition analysis

In 1977 the Sri Lankan government implemented a comprehensive policy of economic liberalization, removing many government controls on the economy and providing incentives for both foreign and domestic investment. The previous policies were often justified as necessary to maintain an equitable distribution of income. Income data from 1969–1970 and 1980–1981 surveys indicate that inequality has increased, but these data are shown to be unreliable for drawing conclusions on changes in the distribution of income. Expenditure data from the same surveys indicate that inequality has declined in the 1970's, both in the economy as a whole and within all sectors and ethnic groups.     

The effect of parental background along the sons’ earnings distribution: does one pattern fit for all?

This article sheds light on the differences in the mechanisms generating intergenerational inequality in the four largest Euro Area economies (Spain, Italy, Germany and France) looking at the association between parental background and sons’ earnings along the sons’ distribution. We find that in all countries returns to parental background increase along the sons’ earnings distribution and the probability of ending up in high deciles is significantly correlated with parental background. However, although these findings lend support to the existence of a common mechanism, substantial differences in returns’ steepness question the one-pattern-fits-all story.     

Investment–productivity dynamics and distribution dynamics in a multisector economy: some theory and an application to Italian regions

In this paper, we study the investment–productivity dynamics in the Framework Space, presented by Böhm and Punzo [Cycles, Growth and Structural Change, Routledge, London (2001) 47], as the distribution dynamics of the production sectors of an economy. We apply such theoretical framework to data from Italian regions to identify differences in sectoral behaviors both within and across regions. Our main findings are: sectors within a region generally follow different regime dynamics; Southern Italian regions are generally characterized by higher degrees of heterogeneity in sectoral growth behaviors and of regime instability. Also, we find support to the hypothesis of a positive relation between this type of instability and unemployment, as argued by the Neo-Austrian theory of structural dynamics.