The United Nations' Human Development Index (HDI) takes several dimensions ---income, school enrolment and literacy rate, longevity--- and combines them into a single figure that measures the degree of development of a given country. However, there is disagreement about (i) how to normalize the...

Consider the following nine rules for adjudicating conflicting claims: the proportional, constrained equal awards, constrained equal losses, Talmud, Piniles’, constrained egalitarian, adjusted proportional, random arrival, and minimal overlap rules. For each pair of rules in this list, we...