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Multivariate Discrete First Order Stochastic Dominance

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Author Info
Finn Tarp (Department of Economics, University of Copenhagen)
Lars Peter Østerdal (Department of Economics, University of Copenhagen)

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Abstract

This paper characterizes the principle of first order stochastic dominance in a multivariate discrete setting. We show that a distribution f first order stochastic dominates distribution g if and only if f can be obtained from g by iteratively shifting density from one outcome to another that is better. For the bivariate case, we develop the theoretical basis for an algorithmic dominance test that is easy to implement.

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Publisher Info
Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 07-23.

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Length: 23 pages
Date of creation: Oct 2007
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Handle: RePEc:kud:kuiedp:0723

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Related research
Keywords: multidimensional first degree distributional dominance robust poverty gap dominance majorization generalized equivalence result

Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
I32 - Health, Education, and Welfare - - Welfare and Poverty - - - Measurement and Analysis of Poverty
O15 - Economic Development, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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References listed on IDEAS
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  1. Levy, Haim & Paroush, Jacob, 1974. "Toward multivariate efficiency criteria," Journal of Economic Theory, Elsevier, vol. 7(2), pages 129-142, February. [Downloadable!] (restricted)
  2. Kai-yuen Tsui, 2002. "Multidimensional poverty indices," Social Choice and Welfare, Springer, vol. 19(1), pages 69-93. [Downloadable!] (restricted)
  3. Levhari, David & Paroush, Jacob & Peleg, Bezalel, 1975. "Efficiency Analysis for Multivariate Distributions," Review of Economic Studies, Blackwell Publishing, vol. 42(1), pages 87-91, January. [Downloadable!] (restricted)
  4. Huang, C C & Kira, D & Vertinsky, I, 1978. "Stochastic Dominance Rules for Multi-attribute Utility Functions," Review of Economic Studies, Blackwell Publishing, vol. 45(3), pages 611-15, October. [Downloadable!] (restricted)
  5. 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. [Downloadable!]
  6. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February. [Downloadable!] (restricted)
  7. John A. Weymark, 2003. "The Normative Approach to the Measurement of Multidimensional Inequality," Working Papers 0314, Department of Economics, Vanderbilt University, revised Jan 2004. [Downloadable!]
  8. Jean-Yves Duclos & David E. Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons," Economic Journal, Royal Economic Society, vol. 116(514), pages 943-968, October. [Downloadable!] (restricted)
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  9. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September. [Downloadable!] (restricted)
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