Market failure, inequality and redistribution

We consider the following question: does market failure justify redistribution? We argue that the general answer to this question is no, in the sense that policies for correcting market failures do not aim at producing a "desirable" income distribution. This follows from the fact that, by construction, market failure is a deviation from "efficiency" that does not involve any notion of a desirable distribution of welfare (or income). However, there are special cases where a "corrective measure" involving redistribution can offset a market failure, so this can provide a form of efficiency- based justification for redistribution.

Types de généralisations et épistémologie des mathématiques : de l'intégrale de Cauchy à l'intégrale de Lebesgue

Thèse numérisée par la Division de la gestion de documents et des archives de l'Université de Montréal

Certain problems concerning polynomials and transcendental entire functions of exponential type

Soit $\displaystyle P(z):=\sum_{\nu=0}^na_\nu z^{\nu}$ un polynôme de degré $n$ et $\displaystyle M:=\sup_{|z|=1}|P(z)|.$ Sans aucne restriction suplémentaire, on sait que $|P'(z)|\leq Mn$ pour $|z|\leq 1$ (inégalité de Bernstein). Si nous supposons maintenant que les zéros du polynôme $P$ sont à l'extérieur du cercle $|z|=k,$ quelle amélioration peut-on apporter à l'inégalité de Bernstein? Il est déjà connu [{\bf \ref{Mal1}}] que dans le cas où $k\geq 1$ on a $$(*) \qquad |P'(z)|\leq \frac{n}{1+k}M \qquad (|z|\leq 1),$$ qu'en est-il pour le cas où $k < 1$? Quelle est l'inégalité analogue à $(*)$ pour une fonction entière de type exponentiel $\tau ?$ D'autre part, si on suppose que $P$ a tous ses zéros dans $|z|\geq k \, \, (k\geq 1),$ quelle est l'estimation de $|P'(z)|$ sur le cercle unité, en terme des quatre premiers termes de son développement en série entière autour de l'origine. Cette thèse constitue une contribution à la théorie analytique des polynômes à la lumière de ces questions.

On Truncated Versions of Certain Measures of Inequality and Stability

The present study focuses attention on defining certain measures of income inequality for the truncated distributions and characterization of probability distributions using the functional form of these measures, extension of some measures of inequality and stability to higher dimensions, characterization of bivariate models using the above concepts and estimation of some measures of inequality using the Bayesian techniques. The thesis defines certain measures of income inequality for the truncated distributions and studies the effect of truncation upon these measures. An important measure used in Reliability theory, to measure the stability of the component is the residual entropy function. This concept can advantageously used as a measure of inequality of truncated distributions. The geometric mean comes up as handy tool in the measurement of income inequality. The geometric vitality function being the geometric mean of the truncated random variable can be advantageously utilized to measure inequality of the truncated distributions. The study includes problem of estimation of the Lorenz curve, Gini-index and variance of logarithms for the Pareto distribution using Bayesian techniques.

Poverty, Inequality and Natural Resources Degradation

The present study is an attempt to understand the link between natural resource degradation and poverty among people dependent on these resources. This is done by examining the impact of depletion of marine resources on the livelihood and socio-economic condition of the small-scale marine fishery community in South Kerala. In Kerala, nearly ten lakh fisherfolk depend on the marine fishery resources for their livelihood. The overall level of education of the small-scale fishing community is lower than that of the State’s rural population. Almost all the households surveyed, is one way or other, depend on fishery resources for livelihood. Low levels percapita income and high levels of inequality imply the existence of a large proportion of poor people in the community who are vulnerable to external shocks. The study reveals that poverty was comparatively higher among households with no fishing assets, with only one earner, with more than two children, and depending entirely on pensions/remittances. The study has not provided any evidence to show that poverty in the community is the result of depletion of marine resources.

Bieberbach's Conjecture, the de Branges and Weinstein Functions and the Askey-Gasper Inequality

The Bieberbach conjecture about the coefficients of univalent functions of the unit disk was formulated by Ludwig Bieberbach in 1916 [Bieberbach1916]. The conjecture states that the coefficients of univalent functions are majorized by those of the Koebe function which maps the unit disk onto a radially slit plane. The Bieberbach conjecture was quite a difficult problem, and it was surprisingly proved by Louis de Branges in 1984 [deBranges1985] when some experts were rather trying to disprove it. It turned out that an inequality of Askey and Gasper [AskeyGasper1976] about certain hypergeometric functions played a crucial role in de Branges' proof. In this article I describe the historical development of the conjecture and the main ideas that led to the proof. The proof of Lenard Weinstein (1991) [Weinstein1991] follows, and it is shown how the two proofs are interrelated. Both proofs depend on polynomial systems that are directly related with the Koebe function. At this point algorithms of computer algebra come into the play, and computer demonstrations are given that show how important parts of the proofs can be automated.

Social Inequality and Social Policy outside the OECD

Almost all Latin American countries are still marked by extreme forms of social inequality – and to an extent, this seems to be the case regardless of national differences in the economic development model or the strength of democracy and the welfare state. Recent research highlights the fact that the heterogeneous labour markets in the region are a key source of inequality. At the same time, there is a strengthening of ‘exclusive’ social policy, which is located at the fault lines of the labour market and is constantly (re-)producing market-mediated disparities. In the last three decades, this type of social policy has even enjoyed democratic legitimacy. These dynamics challenge many of the assumptions guiding social policy and democratic theory, which often attempt to account for the specificities of the region by highlighting the purported flaws of certain policies. We suggest taking a different perspective: social policy in Latin American should not be grasped as a deficient or flawed type of social policy, but as a very successful relation of political domination. ‘Relational social analysis’ locates social policy in the ‘tension zone’ constituted by the requirements of economic reproduction, demands for democratic legitimacy and the relative autonomy of the state. From this vantage point, we will make the relation of domination in question accessible for empirical research. It seems particularly useful for this purpose to examine the recent shifts in the Latin American labour markets, which have undergone numerous reforms. We will examine which mechanisms, institutions and constellations of actors block or activate the potentials of redistribution inherent in such processes of political reform. This will enable us to explore the socio-political field of forces that has been perpetuating the social inequalities in Latin America for generations.

Essays on economics of education and inequality

El documento resume los resultados de los tres ensayos sobre economía de la educación y de igualdad de oportunidades que se realizaron para el caso de Colombia.

Digital Inequality

Unpicking and understanding if and how the web is linked to inequality means: Recognising that the access divide is not over, Thinking beyond hardware, Thinking beyond demographic variables, Developing a conceptual and theoretical toolkit, Beyond technological determinism, Co-constitution, Intersectionality, Technical capital

Gross Inequality and Inequality of Opportunities in Basic Education: Were they affected by Latin America’s Economic Boom?

In the context of economic growth and recovering socio-economic conditions, many Latin American countries have implemented deep educational reforms since the beginning of the century. This paper aims to analyse whether these changes have promoted equality of educational opportunities in the region. Both the access and knowledge and skills dimensions are evaluated for six important countries, deepening the analysis for Argentina, Brazil and Colombia, in order to better understand the trends observed. Results point to reasonable progress in access, but reflect an unsatisfactory evolution of the level and distribution of knowledge and skills as reflected by PISA test scores.

Inequality of opportunity in educational achievement in Latin America: evidence from PISA 2006-2009

We assess inequality of opportunity in educational achievement in six Latin American countries, employing two waves of PISA data (2006 and 2009). By means of a non-parametric approach using a decomposable inequality index, GE(0), we rank countries according to their degree of inequality of opportunity. We work with alternative characterizations of types: school type (public or private), gender, parental education, and combinations of those variables. We calculate incremental contributions of each set of circumstances to inequality. We provide rankings of countries based on unconditional inequalities (using conventional indices) and on conditional inequalities (EOp indices), and the two sets of rankings do not always coincide. Inequality of opportunities range from less than 1% to up to 27%, with substantial heterogeneity according to the year, the country, the subject and the specificication of circumstances. Robustness checks based on bootstrap and the use of an alternative index confirm most of the initial results.

Cauchy : el triunfo del rigor.

Recorrido por la figura de Augustin Louis Cauchy. tras un repaso por su vida y los datos más revelantes de su biografía, se exponen sus principales teorías con el análisis de sus obras más destacadas. Se hace especial énfasis en la teoría de funciones de variable compleja, su principal aportación al mundo de las matemáticas.

How do inequality affect tax morale in Latin America and Caribbean?

Latin America is well known as an inequitable region. As it is recognized, inequality and corruption perception weaken the way that political institutions works and the democratic system. Focusing on Latin American and Caribbean countries, this paper analyzes what are the elements shaping tax morale. In particular, how the context influences ethical grounds decisions such as the predisposition to pay taxes is analyzed, using the survey carried out in 2005 by Latinobarometro. The objective is to analyze how country performance determines tax morale. To do so, four probitmodels are estimated using Gini index, Transparency International Corruption Perception Index and Gross Domestic Product per capita (GDPpc) as explanatory variables. As expected we found that some socio-demographic variables play a relevant role. Interestingly, we also found that, in this attitude, LAC countries do not register a gender bias. However, those are not our main contributions to the literature on the field. The most important results are linked to: 1) the levelmatters, GDPpc increases the probability of people having tax morale, 2) moreover, income distributionalso influence on tax morale but in opposite direction and 3) corruption perception also reduces tax morale. Those results show that the quality of institutions matters and therefore, the way that democracy works play a relevant role.