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作者：Muller, Christophe; Trannoy, Alain
作者单位：Aix-Marseille Universite; Aix-Marseille Universite
摘要：We provide a unified treatment of the two approaches pioneered by Atkinson and Bourguignon (1982, 1987) [3,4] by resorting to compensation principles in the bivariate case. We treat the attributes of individual utility asymmetrically by assuming that one attribute can be used to compensate another. Our main result consists of two sufficient second-order stochastic dominance conditions. In the case where the compensated variable has a discrete distribution, the distribution of the compensating ...
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作者：Meyer, Margaret; Strulovici, Bruno
作者单位：University of Oxford; University of Oxford; Northwestern University
摘要：Orderings of interdependence are useful in many economic contexts: in assessing ex post inequality under uncertainty; in comparing multidimensional inequality; in valuing portfolios of assets or insurance policies; and in assessing systemic risk. We explore five orderings of interdependence for multivariate distributions: greater weak association, the supermodular ordering, the convex-modular ordering, the dispersion ordering, and the concordance ordering. For two dimensions, all five are equi...
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作者：Moyes, Patrick
作者单位：Universite de Bordeaux; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Humanities & Social Sciences (INSHS)
摘要：We are interested in the comparisons of standard-of-living across societies when observations of both income and household structure are available. We generalise the approach of A.B. Atkinson and F. Bourguignon (1987) [3] to the case where the marginal distributions of needs can vary across the household populations under comparison. We assume that a sympathetic observer uses a utilitarian social welfare function in order to rank heterogeneous income distributions. Insofar as any individual ca...
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作者：Bommier, Antoine; Chassagnon, Arnold; Le Grand, Francois
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich; Paris School of Economics; Universite PSL; Universite Paris-Dauphine; emlyon business school
摘要：We consider a formal approach to comparative risk aversion and apply it to intertemporal choice models. This allows us to ask whether standard classes of utility functions, such as those inspired by Kihlstrom and Mirman (1974) [16], Selden (1978) [27], Epstein and Zin (1989) [10] and Quiggin (1982) [25] are well ordered in terms of risk aversion. Moreover, opting for this model-free approach allows us to establish new general results on the impact of risk aversion on savings behaviors. In part...
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作者：Le Breton, Michel; Michelangeli, Alessandra; Peluso, Eugenio
作者单位：University of Verona; Universite de Toulouse; Universite Toulouse 1 Capitole; Toulouse School of Economics; University of Milano-Bicocca
摘要：This note suggests a bridge between stochastic dominance (Rothschild and Stiglitz, 1970 [17], 1973 [18]), inequality measurement (Atkinson, 1970 [1]) and discrimination measurement (Gastwirth, 1975 [10]). Discrimination orderings are defined and illustrated through discrimination curves, in the same spirit as stochastic dominance analysis. The main result, which links the second order discrimination curve and the Gastwirth discrimination index, also generalizes the equivalence between Generali...
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作者：Chew, Soo Hong; Sagi, Jacob S.
作者单位：Vanderbilt University; National University of Singapore; National University of Singapore; Hong Kong University of Science & Technology
摘要：Few papers in the literature on inequality measurement deal with uncertainty, particularly when the ranking of cohorts may not be fixed. We present a set of axioms implying such a class of inequality measures under uncertainty that is a one-parameter extension of the generalized Gini mean over the distribution of average allocations. The extension consists of a quadratic term accounting for inter-personal correlations. In particular, our measure can simultaneously accommodate a preference for ...
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作者：Grant, Simon; Kajii, Atsushi; Polak, Ben; Safra, Zvi
作者单位：University of Queensland; Rice University; Kyoto University; Yale University; Yale University; University of Exeter; Tel Aviv University
摘要：We provide an axiomatization of expected equally-distributed equivalent-utility social welfare functions in the context of Harsanyi's impartial observer theorem. For this family of social welfare functions, we show what additional axiom is necessary and sufficient for the observer to exhibit aversion to ex post inequality. We also relate this axiomatization to our axiomatization in a companion paper of generalized utilitarian social welfare functions. Given certain richness assumptions, the on...
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作者：Decancq, Koen
作者单位：KU Leuven; Universite Catholique Louvain; University of Antwerp
摘要：A Frechet class collects all multivariate joint distribution functions that have the same marginals. Members of a Frechet class only differ with respect to the interdependence between their marginals. In this paper, I study orders of interdependence on a Frechet class using two multivariate generalizations of the bivariate rearrangement proposed by Epstein and Tanny (1980) [4] and Tchen (1980) [16]. I show how these multivariate rearrangements are underlying multivariate first order stochastic...
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作者：Sprumont, Yves
作者单位：Universite de Montreal; Universite de Montreal
摘要：We study the problem of defining inequality-averse social orderings over allocations of commodities when individuals have different preferences. We formulate a notion of egalitarianism based on the axiom that any dominance between consumption bundles should be reduced. This Dominance Aversion requirement is compatible with Consensus, a version of the Pareto principle saying that an allocation y is better than x whenever everybody finds that everyone's bundle at y is better than at x. We charac...
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作者：Chakravarty, Satya R.; Zoli, Claudio
作者单位：University of Verona; Indian Statistical Institute; Indian Statistical Institute Kolkata
摘要：The objective of this paper is to derive some integer-majorization results for variable-sum comparisons. We use an axiomatic framework to establish equivalence between several intuitively reasonable conditions. (c) 2011 Elsevier Inc. All rights reserved.
