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Stochastic Dominance Relations for Integer Variables

In: Poverty, Social Exclusion and Stochastic Dominance

Author

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  • Satya R. Chakravarty

    (Indian Statistical Institute)

  • Claudio Zoli

    (Università degli Studi di Verona)

Abstract

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. © 2011 Elsevier Inc. All rights reserved.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:thechp:978-981-13-3432-0_13
    DOI: 10.1007/978-981-13-3432-0_13
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    Cited by:

    1. Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2019. "Inequality measurement with an ordinal and continuous variable," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(3), pages 453-475, March.
    2. Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2021. "Ranking distributions of an ordinal variable," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 33-80, February.
    3. Nicoleta Anca Matei & Claudio Zoli, 2012. "Restricted Finite Time Dominance," Working Papers 30/2012, University of Verona, Department of Economics.
    4. Marling, Tina Gottschalk & Range, Troels Martin & Sudhölter, Peter & Østerdal, Lars Peter, 2018. "Decomposing bivariate dominance for social welfare comparisons," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 1-8.
    5. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.
    6. Valérie Bérenger, 2017. "Using ordinal variables to measure multidimensional poverty in Egypt and Jordan," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 15(2), pages 143-173, June.
    7. Gajdos, Thibault & Weymark, John A., 2012. "Introduction to inequality and risk," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1313-1330.
    8. Andrea C. Hupman & Jay Simon, 2023. "The Legacy of Peter Fishburn: Foundational Work and Lasting Impact," Decision Analysis, INFORMS, vol. 20(1), pages 1-15, March.
    9. Sabina Alkire & Mauricio Apablaza & Satya R. Chakravarty & Gaston Yalonetzky, 2014. "Measuring Chronic Multidimensional Poverty: A Counting Approach," OPHI Working Papers 75, Queen Elizabeth House, University of Oxford.
    10. José V. Gallegos & Gaston Yalonetzky, 2015. "Robust ``pro-poorest'' poverty reduction with counting measures: The anonymous case," Working Papers 361, ECINEQ, Society for the Study of Economic Inequality.
    11. Valérie Bérenger, 2017. "Using ordinal variables to measure multidimensional poverty in Egypt and Jordan," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 15(2), pages 143-173, June.
    12. Sandip Sarkar & Sattwik Santra, 2020. "Extending the approaches to polarization ordering of ordinal variables," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(3), pages 421-440, September.
    13. Gao, Jianwei & Zhao, Feng, 2017. "Sufficient conditions of stochastic dominance for general transformations and its application in option strategy," Economics Discussion Papers 2017-40, Kiel Institute for the World Economy (IfW Kiel).
    14. Pinar, Mehmet & Stengos, Thanasis & Topaloglou, Nikolas, 2020. "On the construction of a feasible range of multidimensional poverty under benchmark weight uncertainty," European Journal of Operational Research, Elsevier, vol. 281(2), pages 415-427.
    15. Ramses H. Abul Naga, 2018. "Measurement of inequality with a finite number of pay states: the majorization set and its applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(1), pages 99-123, January.
    16. Gao, Jianwei & Zhao, Feng & Gu, Yundong, 2018. "Sufficient conditions of stochastic dominance for general transformations and its application in option strategy," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-15.
    17. Alejandro Corvalan, 2018. "How to rank rankings? Group performance in multiple-prize contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 361-380, August.

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    More about this item

    Keywords

    Stochastic dominance; Generalized Lorenz curve; Grids; Integers; Measures; Majorization;
    All these keywords.

    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

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