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The mass transfer approach to multivariate discrete first order stochastic dominance: Direct proof and implications

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  • Østerdal, Lars Peter

Abstract

Abstract A fundamental result in the theory of stochastic dominance tells that first order dominance between two finite multivariate distributions is equivalent to the property that the one can be obtained from the other by shifting probability mass from one outcome to another that is worse a finite number of times. This paper provides a new and elementary proof of that result by showing that starting with an arbitrary system of mass transfers, whenever the resulting distribution is first order dominated one can gradually rearrange transfers, according to a certain decentralized procedure, and obtain a system of transfers all shifting mass to outcomes that are worse.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 46 (2010)
Issue (Month): 6 (November)
Pages: 1222-1228

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Handle: RePEc:eee:mateco:v:46:y:2010:i:6:p:1222-1228

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Web page: http://www.elsevier.com/locate/jmateco

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Keywords: Multidimensional first degree distributional dominance The usual stochastic order Multivariate majorization Generalized equivalence result;

References

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  1. Nicolas Gravel & Patrick Moyes, 2006. "Ethically Robust Comparisons of Distributions of Two Individual Attributes," IDEP Working Papers 0605, Institut d'economie publique (IDEP), Marseille, France, revised Aug 2006.
  2. Huang, C C & Kira, D & Vertinsky, I, 1978. "Stochastic Dominance Rules for Multi-attribute Utility Functions," Review of Economic Studies, Wiley Blackwell, vol. 45(3), pages 611-15, October.
  3. Frank Cowell, 1998. "Measurement of inequality," LSE Research Online Documents on Economics 2084, London School of Economics and Political Science, LSE Library.
  4. Levhari, David & Paroush, Jacob & Peleg, Bezalel, 1975. "Efficiency Analysis for Multivariate Distributions," Review of Economic Studies, Wiley Blackwell, vol. 42(1), pages 87-91, January.
  5. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
  6. Russell, William R & Seo, Tae Kun, 1978. "Ordering Uncertain Prospects: The Multivariate Utility Functions Case," Review of Economic Studies, Wiley Blackwell, vol. 45(3), pages 605-10, October.
  7. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February.
  8. Grant, Simon & Kajii, Atsushi & Polak, Ben, 1992. "Many good choice Axioms: When can many-good lotteries be treated as money lotteries?," Journal of Economic Theory, Elsevier, vol. 56(2), pages 313-337, April.
  9. Levy, Haim & Paroush, Jacob, 1974. "Toward multivariate efficiency criteria," Journal of Economic Theory, Elsevier, vol. 7(2), pages 129-142, February.
  10. Marco Scarsini, 1988. "Dominance Conditions for Multivariate Utility Functions," Management Science, INFORMS, vol. 34(4), pages 454-460, April.
  11. K. C. Mosler, 1984. "Stochastic Dominance Decision Rules when the Attributes are Utility Independent," Management Science, INFORMS, vol. 30(11), pages 1311-1322, November.
  12. Vijay S. Bawa, 1982. "Research Bibliography---Stochastic Dominance: A Research Bibliography," Management Science, INFORMS, vol. 28(6), pages 698-712, June.
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Cited by:
  1. Arndt, Channing & Distante, Roberta & Hussain, M. Azhar & Osterdal, Lars Peter & Huong, Pham Lan, 2012. "Ordinal Welfare Comparisons with Multiple Discrete Indicators:A First Order Dominance Approach and Application to Child Poverty," Working Paper Series UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).
  2. Arndt, Channing & Hussain, M. Azhar & Salvucci, Vincenzo & Tarp, Finn & Osterdal, Lars, 2013. "Advancing small area estimation," Working Paper Series UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).

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