The impacts of changing the number of individuals of a particular skill level on the solutions to two versions of the finite population optimal nonlinear income tax problem are investigated. In one version, preferences are quasilinear-in-leisure. For this version, it is shown that it is possible...

This article establishes versions of Moulin's [On strategy-proofness and single peakedness, Public Choice 35 (1980), 31--38] characterizations of various classes of strategy-proof social choice functions when the domain consists of all profiles of single-peaked preferences on an arbitrary subset...

The axioms used to characterize the generalized Gini social evaluation orderings for one-dimensional distributions are extended to the multidimensional attributes case. A social evaluation ordering is shown to have a two-stage aggregation representation if these axioms and a separability...

In the past quarter century, there has been a dramatic shift of focus in social choice theory, with structured sets of alternatives and restricted domains of the sort encountered in economic problems coming to the fore. This article provides an overview of some of the recent contributions to...

Optimal nonlinear taxation of income and savings is considered in a two-period model with two individuals who have additively separable preferences and who only differ in their skill levels. When the government can commit to its second period policy, taxes on savings do not form part of the...

The evaluation of social risk equity for alternative probability distributions over the potential sets of fatalities is analyzed axiomatically. Fishburn and Straffin [Equity considerations in public risks valuation, Operations Research 37 (1999), 229--239] have identified a necessary and...

This article surveys the literature that investigates the consistency of Arrow's social choice axioms when his unrestricted domain assumptions are replaced by domain conditions that incorporate the restrictions on agendas and preferences encountered in economic environments. Both social welfare...

For exchange economies with classical economic preferences, it is shown that any strategy-proof social choice function that selects Pareto optimal outcomes cannot guarantee everyone a consumption bundle bounded away from the origin. This result demonstrates that there is a fundamental conflict...

A desirable property of a voting procedure is that it be immune to the strategic withdrawal of a cadidate for election. Dutta, Jackson, and Le Breton (Econometrica,2001) have established a number of theorems which demonstrate that this condition is incompatible with some other desirable...

Serge Kolm's "epistemic counterfactual principle" says that a social choice only needs to be made from the actual feasible set of alternatives given the actual preference profile, but it must be justified by the choices that would have been made in appropriate counterfactual choice situations....