Decisive coalitions and coherence properties

In a seminal contribution, Hansson has demonstrated that the family of decisive coalitions associated with an Arrovian social welfare function forms an ultrafilter. If the population under consideration is infinite, his result implies the existence of nondictatorial social welfare functions. He goes on to show that if transitivity is weakened to quasi-transitivity as the coherence property imposed on a social relation, the set of decisive coalitions is a filter. We examine the structure of decisive coalitions and analogous concepts with alternative coherence properties, namely, acyclicity and Suzumura consistency, and without assuming that the social relation is complete.Infinite-Population Social Choice, Decisiveness, Suzumura Consistency

INTERPERSONAL COMPARISONS OF WELL-BEING

This paper, which is to be published as a chapter in the Oxford Handbook of Political Economy, provides an introduction to social-choice theory with interpersonal comparisons of well-being. We argue that the most promising route of escape from the negative conclusion of Arrow’s theorem is to use a richer informational environment than ordinal measurability and the absence of interpersonal comparability of well-being. We discuss welfarist social evaluation (which requires that the levels of individual well-being in two alternatives are the only determinants of their social ranking) and present characterizations of some important social-evaluation orderings. Journal of Economic LiteratureArrow’s theorem ; social choice with interpersonal utility comparisons ; welfarism

Multi-Profile Intergenerational Social Choice

Ferejohn and Page transplanted a stationarity axiom from Koopmans' theory of impatience into Arrow's social choice theory with an infinite horizon and showed that the Arrow axioms and stationarity lead to a dictatorship by the first generation. We prove that the negative implications of their stationarity axiom are more far-reaching: there is no Arrow social welfare function satisfying their stationarity axiom. We propose a more suitable stationarity axiom, and show that an Arrow social welfare function satisfies this modified version if and only if it is a lexicographic dictatorship where the generations are taken into consideration in chronological order.Multi-Profile Social Choice, Infinite-Horizon Intergenerational Choice, Lexicographic Dictatorships

Core Rationalizability in Two-Agent Exchange Economies

We provide a characterization of selection correspondences in two-person exchange economies that can be core rationalized in the sense that there exists a preference profile with some standard properties that generates the observed choices as the set of core elements of the economy for any given initial endowment vector. The approach followed in this paper deviates from the standard rational choice model in that a rationalization in terms of a profile of individual orderings rather than in terms of a single individual or social preference relation is analyzed.

Measuring Economic Insecurity

We provide a systematic treatment of the notion of economic insecurity, assuming that an individual’s sentiment of insecurity depends on the current wealth level and its variations experienced in the past. We think of wealth as a comprehensive variable encompassing anything that may help in coping with adverse occurrences. The current wealth level could also be interpreted as incorporating the individual’s evaluation of future prospects. Variations in wealth experienced in the recent past are given higher weight than experiences that occurred in the more distant past. Two classes of measures are characterized with sets of plausible and intuitive axioms.Insecurity, Wealth Distribution, Social Index Numbers