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The complexity of computing the Muirhead-Dalton distance

Author

Listed:
  • Deineko, Vladimir G.
  • Klinz, Bettina
  • Woeginger, Gerhard J.

Abstract

We show that the following problem is NP-hard, and hence computationally intractable: "Given a vector y that Lorenz-dominates a vector x, what is the smallest number of Muirhead-Dalton transfers that transform x into y?"

Suggested Citation

  • Deineko, Vladimir G. & Klinz, Bettina & Woeginger, Gerhard J., 2009. "The complexity of computing the Muirhead-Dalton distance," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 282-284, March.
    • Handle: RePEc:eee:matsoc:v:57:y:2009:i:2:p:282-284
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    References listed on IDEAS

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    1. Aboudi, Ronny & Thon, Dominique, 2006. "Refinements of Muirhead's Lemma and income inequality," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 201-216, March.
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    Cited by:

    1. Satya R. Chakravarty & Claudio Zoli, 2019. "Stochastic Dominance Relations for Integer Variables," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 211-222, Springer.

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    More about this item

    Keywords

    D63 D81 I31 Income inequality Muirhead-Dalton transfer Lorenz-domination Majorization Computational complexity;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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