Inequality in democracies: Testing the classic democratic theory of redistribution

The classic democratic theory of redistribution claims that an increase in the mean-to-median (MM) income ratio causes a majority coalition in the electorate to collectively demand more redistribution. The functional dependence of redistribution on the MM income ratio is tested in parametric and nonparametric regression frameworks using an OECD panel dataset. While the parametric regression model is found to be misspecified rendering subsequent inference invalid, the robust nonparametric regression model fails to uncover evidence that the MM income ratio is relevant for predicting redistribution.     

Between liberalism and democracy

We study and characterize axiomatically a class of voting rules, called consent rules, that incorporate aspects of majoritarianism and liberalism. An outcome of the vote specifies who among the voters are eligible to a certain right or qualification. Each outcome serves also as a permissible ballot. Consent rules are parameterized by the weights given to individuals in determining their own qualification. In one of these rules, the liberal rule, each individual's qualification is determined by her. In other rules, an individual's qualification requires social consent in various degrees. We also show the relation between self-determination and the liberal rule.     

A note on redistributive fairness and economic reform

To understand reasons for possible failures of ‘good’ economic reforms, we consider an institution which is always successful in making the best public decision from the utilitarian perspective. We show it is bound to introduce inequality if costs of a reform are privately known: the losers can not be always compensated. Thus, if equity is a primary concern, then some reforms with positive aggregate net gain might not be undertaken. If the utilitarian welfare is the only guide for making public decisions, implementing a reform might require the ability to ignore the associated social costs of inequality.     

Tit for tat: Foundations of preferences for reciprocity in strategic settings

This paper assumes that in addition to conventional preferences over outcomes, players in a strategic environment have preferences over strategies. It provides conditions under which a player's preferences over strategies can be represented as a weighted average of the utility from outcomes of the individual and his opponents. The weight one player places on an opponent's utility from outcomes depends on the players’ joint behavior. In this way, the framework is rich enough to describe the behavior of individuals who repay kindness with kindness and meanness with meanness. The paper identifies restrictions that the theory places on rational behavior.     

Contests with limited resources

Many interesting phenomena (electoral competition, R&D races, lobbying) are instances of multiple simultaneous contests with unconditional commitment of limited resources. Specifically, the following game is analyzed. Two players compete in a number of simultaneous contests. The players have limited resources (budgets) and must decide how to allocate these to the different contests. In each contest the player who expends more resources than his adversary wins a corresponding prize. Mixed-strategy equilibria are characterized in the case of identical values and budgets and the connections with the classical Blotto game are analyzed.     

Poverty growth in Scandinavian countries: A Sen multi-decomposition

We show in this paper that the growth rate of the Sen index is multi-decomposable, that is, decomposable simultaneously by subgroups and income sources. The multi-decomposition of the poverty growth yields respectively: the growth rate of the poverty incidence (poverty rate) decomposed by subgroups, the growth rate of the poverty depth (poverty gap ratios) decomposed by sources and subgroups, and the growth rate of inequality decomposed by sources and subgroups. We demonstrate that the multi-decomposition is not unique. It is mainly dependent on poverty lines defined on the space of income sources. An application to Scandinavian countries shows that poverty lines based on non-correlation between the income sources imply serious risks of underestimation of the contribution levels of the different components of the global poverty growth. The main contribution of our paper is to pay particular attention to the poverty growth and its source components in order to avoid underestimation of poverty growth.     

Inflation,nominal portfolios,and wealth redistribution in Canada

Abstract This paper quantifies the redistributional effects of inflation in Canada that arise through the revaluation of nominal assets and liabilities. We find that the effects are non‐trivial even for low inflation episodes. The main winners are young, middle‐class households with mortgage debt. The government receives a windfall gain from its long‐term debt. The old, the rich or the middle‐aged, middle‐class lose, largely owing to their holdings of bonds and non‐indexed defined benefit pension assets. Finally, our Canada‐U.S. comparison reveals that the extent of redistributions can be quite different even between countries of similar economic and legal environments.     

Multilateral tariff cooperation under fairness and reciprocity

Abstract This paper explores the impact of fairness and reciprocity on multilateral tariff cooperation. Reciprocal countries reward kind behaviour (positive reciprocity), but retaliate against countries behaving unkindly (negative reciprocity). We demonstrate that reciprocal countries that are moderately demanding from their trading partners regarding their commercial policy can support a greater degree of cooperation than self‐interested ones. However, when only very liberal import policies are considered fair, then reciprocity could have a detrimental effect on multilateral tariff cooperation.Thus, our model provides a novel perspective on the role of expectations in trade negotiations.     

The measurement of rank mobility

In this paper we investigate the problem of measuring social mobility when the social status of individuals is given by their rank. In order to sensibly represent the rank mobility of subgroups within a given society, we address the problem in terms of partial permutation matrices which include standard (“global”) matrices as a special case. We first provide a characterization of a partial ordering on partial matrices which, in the standard case of global matrices, coincides with the well-known “concordance” ordering. We then provide a characterization of an index of rank mobility based on partial matrices and show that, in the standard case of comparing global matrices, it is equivalent to Spearman's ρ index.     

A TREATMENT OF ABSOLUTE INDICES OF POLARIZATION*

Absolute polarization indices remain unchanged under equal absolute augmentation in all incomes. This paper identifies the class of absolute polarization indices whose orderings of alternative income distributions agree with the rankings generated by nonintersecting absolute polarization curves. We explore the possibility of using the Kolm (1976) – Blackorby‐Donaldson (1980) ethical absolute inequality index in polarization measurement. We establish that although inequality and polarization are dissimilar concepts, different absolute inequality indices can be employed to design alternative absolute polarization indices. A numerical illustration is provided using Indian data and it is shown that inequality and polarization are different issues in income distribution analysis.     

DEPRIVATION,INEQUALITY AND WELFARE*

Welfare ranking of income distributions involves a trade‐off between equity and efficiency. A person's feeling of deprivation about higher incomes may be of a relative or absolute type. We consider an intermediate notion of deprivation, a convex mix of relative and absolute deprivations. We then look at the problem of welfare ranking of income distributions when welfare increases under a globally equitable redistribution and under an income increase that keeps intermediate deprivation fixed. All deprivation indices can be regarded as inequality indices but the converse is not true. We also provide a numerical illustration of our results.     

Income stratification and between-group inequality

The paper shows explicitly how the overlapping of groups impacts between-group inequality by generalizing a result on the group-wise decomposition of the Gini index to more than two groups. It is demonstrated that the ratio of Yitzhaki’s measure of between-group inequality to the conventional measure is in general equal to one minus twice the weighted average probability that a random member of a richer (on average) group is poorer than a random member of a poorer (on average) group, and may therefore be interpreted as an overall index of income stratification in the population. The results are used to tabulate the contribution of each pair of regions in the world to the overall level of global income stratification.     

Are incentives against economic justice?

We consider the problem of fairly allocating a social endowment of indivisible goods and money when the domain of admissible preferences contains, but is not restricted to, quasi-linear preferences. We analyze the manipulability of the Generalized Money Rawlsian Fair (GMRF) solutions. (i) We show that the Nash and strong Nash equilibrium correspondences of the “preference revelation game form” associated with each GMRF solution coincide with the no-envy solution (in equilibrium, efficiency is preserved according to agents' true preferences). (ii) A corollary is that the GMRF solutions “naturally implement” the no-envy solution in Nash and strong Nash equilibria.     

Filtral preorders and opportunity inequality

We compare profiles of opportunity sets by means of set-inclusion filtral preorders (SIFPs). Some significant results of the classic theory of income inequality are reproduced in the SIFP-framework.     

Normative judgments and spontaneous order: The contractarian element in Hayek's thought

This paper explores the apparent tension between Hayek's moral skepticism and his role as a defender of liberal institutions. It looks at Hayek's concept of spontaneous order, and asks whether there are any grounds for claiming that spontaneous orders have moral value. The argument from group selection is considered but rejected. Hayek is interpreted as putting most weight on arguments which show, for specific orders (such as the market and common law) that their rules assist each individual in the pursuit of his or her ends, whatever those ends may be. It is suggested that this form of argument is contractarian in character. However, Hayek's contractarianism is distinctive in that it looks for agreement among individuals within an ongoing social order, rather than among rational agents who stand outside any particular society. This paper was written while I was a Visiting Scholar at the Social Philosophy and Policy Center, Bowling Green State University; I am very grateful for the Center's support. An early version was presented at the Friedrich August von Hayek Memorial Symposium in Freiburg, in June 1993. In revising the paper, I have benefited from the comments of the participants at that symposium.     

The measurement of income mobility: A partial ordering approach

Summary. Given a set of longitudinal data pertaining to two populations, a question of interest is the following: Which population has experienced a greater extent of income mobility? The aim of the present paper is to develop a systematic way of answering this question. We first put forth four axioms for income movement-mobility indices, and show that a familiar class of measures is characterized by these axioms. An unambiguous (partial) ordering is then defined as the intersection of the (complete) orderings induced by the mobility measures which belong to the characterized class; a transformation of income distributions is “more mobile” than another if, and only if, the former is ranked higher than the latter for all mobility measures which satisfy our axioms. Unfortunately, our mobility ordering depends on a parameter, and therefore, it is not readily apparent how one can apply it to panel data directly. In the second part of the paper, therefore, we derive several sets of parameter-free necessary and sufficient conditions which allow one to use the proposed mobility ordering in making unambiguous income mobility comparisons in practice. Received: July 12, 1995; revised version: May 13, 1997     

An ordinal Shapley value for economic environments

We propose a new solution concept to address the problem of sharing a surplus among the agents generating it. The problem is formulated in the preferences-endowments space. The solution is defined recursively, incorporating notions of consistency and fairness and relying on properties satisfied by the Shapley value for transferable utility (TU) games. We show a solution exists, and call it the ordinal Shapley value (OSV). We characterize the OSV using the notion of coalitional dividends, and furthermore show it is monotone and anonymous.     

A nice estimation of Gini index and power Pen's parade

Under the assumption that an economic variable y such as income, is a power function of its rank among n individuals, we provide the coefficient of variation and the Gini index as functions of the power degree of the Pen's parade. In fact, knowing the power degree of the Pen's parade function, we obtain the coefficient of variation and a sharp analytical simple way to compute Gini index in terms of the power degree. Reciprocally, knowing, the coefficient of variation of a said variable, we can also provide the power degree of the corresponding Pen's parade, hence deducting its shape. Several examples are given to illustrate our methods. Special attention is given to countries' Gini indices of the World development indicators report 2009 (WDI 2009).     

Financial expectations and the ‘left-right’ political value scale: Testing for the POUM hypothesis

Using a uniquely defined indicator of political ideology we test whether expectations of future financial well-being have an effect on an individual’s position on the political ‘left-right’ spectrum. We find evidence of a significant “prospect of upward mobility” effect.