The socially optimal allocation has been regarded to be unspecifiable because of utility’s interpersonal incomparability, Arrow’s general possibility theorem, and other factors. This paper examines this problem by focusing not on the social welfare function but instead on the utility...

This paper examines the socially optimal allocation by focusing not on the social welfare function but instead on the utility possibility frontier in exogenous growth models with a heterogeneous population. A unique balanced growth path was found on which all of the optimality conditions of all...

We show that the problem of evaluating infinite sequences (or streams) of utilities by a unique utility (or social welfare function) can be stated in terms of fuzzy subsets of the set of infinite utility sequences. For each stream, its evaluation can be viewed as its degree of membership to the...

This paper illustrates how Lorenz Curves can be used to identify the best income distribution on social welfare grounds, within a set of alternative income distributions generated by different policy options. After highlighting some drawbacks of using specific functional forms of the Social...

This paper investigates ethical aggregation of infinite utility streams by representable social welfare relations. We prove that the Hammond Equity postulate and other variations of it like the Pigou-Dalton transfer principle are incompatible with positive responsiveness to welfare improvements...

This paper contributes to qualifying the Basu-Mitra approach to the problem of intergenerational social choice, by analyzing the impact of the structure of the feasible set of utilities on Banerjee's (2006) impossibility theorem. We prove that if the utilities that each generation can possess...

Two factors influence the resolution of the conflict among infinite generations: the consistency/ethical postulates requested; and the utilities that each generation can possess. We contribute to qualifying the Basu-Mitra approach to this problem, that concerns social welfare functions. Firstly we...

The majority rule and the hierarchically dictatorial rule are both characterized when preferences are defined over two alternatives. The majority rule is characterized in terms of seven axioms. The hierarchically dictatorial rule is characterized in terms of six of these seven axioms and the...

The relative majority rule and the unanimity rule are characterized for the case in which there are only two alternatives. The main axioms are motivated by a principle of binary representativeness: the aggregation of the preferences of n voters is the result of splitting the n voters into two...

The (relative) majority rule is a benchmark collective decision norm. This paper provides a simple characterization of the majority rule, for the two-alternative case, that relies on the following property: the choice prescribed by the rule to a group I of individuals must be the one that would...