Skaperdas (1996) characterized the contest success function (CSF), which stipulates the winning probabilities of the contestants, using respectively the scale invariance and translation invariance axioms. This paper first characterizes the entire family of CSFs that fulfils a convex mixture of...

An ethnic polarization index is a summary statistic of ethnic diversity in a population. Montalvo and Reynal-Querol (2005,2008) suggested an index of ethnic polarization, the RQ index, and discussed its properties in detail. In this paper we develop some axiomatic characterizations of the RQ...

An abbreviated or reduced-form monotonic polarization index is an increasing function of the between-group term and a decreasing function of the within-group term of a population subgroup decomposable inequality index. The between-group term represents the „identification? component of...

In pure population problems, a single resource is to be distributed equally among the agents in a society, and the social planner chooses population size(s) and per-capita consumption(s) for each resource constraint and set of feasible population sizes within the domain of the solution. This...