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Rearrangements and Sequential Rank Order Dominance. A Result with Economic Applications

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  • Patrick MOYES (GREThA, CNRS, UMR 5113)

Abstract

Distributive analysis typically involves comparisons of heterogeneous distributions where\r\nindividuals differ in more than just one attribute. In the particular case where there are two\r\nattributes and where the distribution of one of these two attributes is fixed, one can appeal\r\nto sequential rank order dominance for comparing distributions. We consider the degenerate\r\ncase where all individuals differ with respect to the attribute whose distribution is fixed and we show that sequential rank order domination of one distribution over another implies that the dominating distribution can be obtained from the dominated one by means of a finite sequence of favourable permutations, and conversely. We provide three examples where favourable permutations prove to have interesting implications from a normative point of view.

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Bibliographic Info

Paper provided by Groupe de Recherche en Economie Théorique et Appliquée in its series Cahiers du GREThA with number 2011-35.

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Date of creation: 2011
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Handle: RePEc:grt:wpegrt:2011-35

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Keywords: Rearrangements; Favourable Permutations; Sequential Rank Order Dominance; Matching; Mobility; Impatience;

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  1. Bohren, Oyvind & Hansen, Terje, 1980. " Capital Budgeting with Unspecified Discount Rates," Scandinavian Journal of Economics, Wiley Blackwell, vol. 82(1), pages 45-58.
  2. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
  3. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
  4. Peter C. Fishburn, 1978. "Stochastic Dominance Without Transitive Preferences," Management Science, INFORMS, vol. 24(12), pages 1268-1277, August.
  5. Steinar Ekern., 1980. "Time Dominance Efficiency Analysis," Research Program in Finance Working Papers 105, University of California at Berkeley.
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Cited by:
  1. Nicolas Gravel & Patrick Moyes, 2011. "Utilitarianism or Welfarism: Does it Make a Difference?," Working Papers halshs-00634010, HAL.
  2. Patrick MOYES (GREThA, CNRS, UMR 5113) & Nicolas GRAVEL (Aix-Marseille University and AMSE (GREQAM)), 2011. "Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute," Cahiers du GREThA 2011-36, Groupe de Recherche en Economie Théorique et Appliquée.

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