The Lorenz curve and Gini coefficient are applied here to measure and graph disproportionality in outcomes for multiseat elections held in 2017. The discussion compares Proportional Representation (PR) in Holland (PR Gini 3.6%) with District Representation (DR) in France (41.6%), UK (15.6%) and...

In a classic result, Jakobsson (1976) and Fellman (1976) showed that average-rate progressive, and only average-rate progressive, income taxes reduce income inequality. Carbonell-Nicolau and Llavador (2018) extended this result to the case of endogenous income, showing that marginal-rate...

This chapter examines the role of altruistic motives in the economic analysis of public social transfers, both from a positive and from a normative point of view. The positive question is to know whether we can fully neglect altruistic considerations to explain the development or sustainability...

This chapter reviews the theory of the voluntary public and private redistribution of wealth elaborated by economic analysis in the last forty years or so. The central object of the theory is altruistic gift-giving, construed as benevolent voluntary redistribution of income or wealth. The theory...

Does economic inequality diminish the capacity of democracies to extract voluntary sacrifice? And does inequality undermine citizen's willingness to do their civic duty when the state is under threat? We address these questions by linking income inequality with people's willingness to fight for...

The paper provides the axiomatic characterization of a new poverty measure, the path-dependent poverty index. This is a two period index taking into account not only individuals current and past deprivation levels, but also the relative position with respect to their previous income status....

This paper provides a normative framework for the assessment of the distributional incidence of growth. By removing the anonymity axiom, such framework is able to evaluate the individual income changes over time and the reshu­ ing of individuals along the income distribution that are determined...

As a proxy for a Pareto-efficient market economy, we adopt the two-party Nash Bargaining model featuring a qualitative bias in the treatment of the contributions of the parties. The Piketty inequality here is the share in total welfare accruing to the richer party over total welfare attained at...

The case for progressive income taxation is often based on the classic result of Jakobsson (1976) and Fellman (1976), according to which progressive and only progressive income taxes - in the sense of increasing average tax rates on income - ensure a reduction in income inequality. This result...