IDEAS home Printed from https://ideas.repec.org/p/hhs/sdueko/2013_009.html
   My bibliography  Save this paper

Checking bivariate first order dominance

Author

Listed:

Abstract

We consider the problem of checking first order dominance for finite bivariate distributions. We observe that this can be formulated as a special bipartite network problem related to the classical transportation problem. We exploit this observation to develop a new characterization of first order dominance and fast dominance-checking algorithms.

Suggested Citation

  • Range, Troels Martin & Østerdal, Lars Peter, 2013. "Checking bivariate first order dominance," Discussion Papers on Economics 9/2013, University of Southern Denmark, Department of Economics.
    • Handle: RePEc:hhs:sdueko:2013_009
    as

    Download full text from publisher

    File URL: https://www.sdu.dk/-/media/files/om_sdu/institutter/ivoe/disc_papers/disc_2013/dpbe9_2013.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
    2. Vijay S. Bawa, 1982. "Research Bibliography---Stochastic Dominance: A Research Bibliography," Management Science, INFORMS, vol. 28(6), pages 698-712, June.
    3. Arndt, Channing & Distante, Roberta & Hussain, M. Azhar & Østerdal, Lars Peter & Huong, Pham Lan & Ibraimo, Maimuna, 2012. "Ordinal Welfare Comparisons with Multiple Discrete Indicators: A First Order Dominance Approach and Application to Child Poverty," World Development, Elsevier, vol. 40(11), pages 2290-2301.
    4. K. C. Mosler, 1984. "Stochastic Dominance Decision Rules when the Attributes are Utility Independent," Management Science, INFORMS, vol. 30(11), pages 1311-1322, November.
    5. William R. Russell & Tae Kun Seo, 1978. "Ordering Uncertain Prospects: The Multivariate Utility Functions Case," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 605-610.
    6. Marco Scarsini, 1988. "Dominance Conditions for Multivariate Utility Functions," Management Science, INFORMS, vol. 34(4), pages 454-460, April.
    7. Arndt, Channing & Distante, Roberta & Hussain, M. Azhar & Østerdal, Lars Peter & Huong, Pham Lan & Ibraimo, Maimuna, 2012. "Ordinal Welfare Comparisons with Multiple Discrete Indicators: A First Order Dominance Approach and Application to Child Poverty," World Development, Elsevier, vol. 40(11), pages 2290-2301.
    8. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    9. Arndt, Channing & Salvucci, Vincenzo & Tarp, Finn & Østerdal, Lars Peter & Hussain, M. Azhar, 2013. "Advancing Small Area Estimation," WIDER Working Paper Series 053, World Institute for Development Economic Research (UNU-WIDER).
    10. David Levhari & Jacob Paroush & Bezalel Peleg, 1975. "Efficiency Analysis for Multivariate Distributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 87-91.
    11. C. C. Huang & D. Kira & I. Vertinsky, 1978. "Stochastic Dominance Rules for Multi-attribute Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 611-615.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. M. Azhar Hussain & Mette Møller Jørgensen & Lars Peter Østerdal, 2016. "Refining Population Health Comparisons: A Multidimensional First Order Dominance Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 129(2), pages 739-759, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Østerdal, Lars Peter, 2010. "The mass transfer approach to multivariate discrete first order stochastic dominance: Direct proof and implications," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1222-1228, November.
    2. Finn Tarp & Lars Peter Østerdal, 2007. "Multivariate Discrete First Order Stochastic Dominance," Discussion Papers 07-23, University of Copenhagen. Department of Economics.
    3. M. Azhar Hussain & Nikolaj Siersbæk & Lars Peter Østerdal, 2020. "Multidimensional welfare comparisons of EU member states before, during, and after the financial crisis: a dominance approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 645-686, December.
    4. M. Azhar Hussain & Mette Møller Jørgensen & Lars Peter Østerdal, 2016. "Refining Population Health Comparisons: A Multidimensional First Order Dominance Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 129(2), pages 739-759, November.
    5. Arndt, Channing & Mahrt, Kristi & Hussain, M. Azhar & Tarp, Finn, 2018. "A human rights-consistent approach to multidimensional welfare measurement applied to sub-Saharan Africa," World Development, Elsevier, vol. 108(C), pages 181-196.
    6. Channing Arndt & Azhar M. Hussain & Vincenzo Salvucci & Finn Tarp & Lars Peter Østerdal, 2016. "Poverty Mapping Based on First‐Order Dominance with an Example from Mozambique," Journal of International Development, John Wiley & Sons, Ltd., vol. 28(1), pages 3-21, January.
    7. Channing Arndt & Azhar M. Hussain & Vincenzo Salvucci & Finn Tarp & Lars Peter Østerdal, 2016. "Poverty Mapping Based on First‐Order Dominance with an Example from Mozambique," Journal of International Development, John Wiley & Sons, Ltd., vol. 28(1), pages 3-21, January.
    8. Abdelaziz, F. Ben & Lang, P. & Nadeau, R., 1995. "Distributional efficiency in multiobjective stochastic linear programming," European Journal of Operational Research, Elsevier, vol. 85(2), pages 399-415, September.
    9. Christoffer Sonne-Schmidt & Finn Tarp & Lars Peter Østerdal, 2013. "Ordinal Multidimensional Inequality," WIDER Working Paper Series wp-2013-097, World Institute for Development Economic Research (UNU-WIDER).
    10. Sonne-Schmidt, Christoffer & Tarp, Finn & Østerdal, Lars Peter, 2013. "Ordinal Multidimensional Inequality," WIDER Working Paper Series 097, World Institute for Development Economic Research (UNU-WIDER).
    11. Christoffer Sonne-Schmidt & Finn Tarp & Lars Peter Østerdal, 2016. "Ordinal Bivariate Inequality: Concepts and Application to Child Deprivation in Mozambique," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62(3), pages 559-573, September.
    12. Jeffrey, Scott R., 1987. "The Application Of Stochastic Dominance Techniques To Multi-Period Problems: Issues And Implications," Staff Papers 13547, University of Minnesota, Department of Applied Economics.
    13. Kristi Mahrt & Malokele Nanivazo, 2015. "Estimating multidimensional childhood poverty in the Democratic Republic of Congo, 2007 through 2013," WIDER Working Paper Series 131, World Institute for Development Economic Research (UNU-WIDER).
    14. Arndt, Channing & Mahrt, Kristi & Hussain, M. Azhar & Tarp, Finn, 2018. "A human rights-consistent approach to multidimensional welfare measurement applied to sub-Saharan Africa," World Development, Elsevier, vol. 108(C), pages 181-196.
    15. Kristi Mahrt & Gibson Masumbu, 2015. "Estimating multidimensional poverty in Zambia," WIDER Working Paper Series wp-2015-137, World Institute for Development Economic Research (UNU-WIDER).
    16. Malokele Nanivazo, 2015. "First Order Dominance Analysis: Child Wellbeing in the Democratic Republic of Congo," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 122(1), pages 235-255, May.
    17. Olu Ajakaiye & Afeikhena T. Jerome & Olanrewaju Olaniyan & Kristi Mahrt & Olufunke A. Alaba, 2014. "Multidimensional Poverty in Nigeria: First Order Dominance Approach," WIDER Working Paper Series wp-2014-143, World Institute for Development Economic Research (UNU-WIDER).
    18. T. El Sayed & A. R. Zahran, 2020. "Child Wellbeing in Egypt: a Weighted Multidimensional Almost Dominance Approach," Child Indicators Research, Springer;The International Society of Child Indicators (ISCI), vol. 13(3), pages 993-1022, June.
    19. Ajakaiye, Olu & Jerome, Afeikhena T. & Olaniyan, Olanrewaju & Mahrt, Kristi & Alaba, Olufunke A., 2014. "Multidimensional poverty in Nigeria: First order dominance approach," WIDER Working Paper Series 143, World Institute for Development Economic Research (UNU-WIDER).
    20. Channing Arndt & Nikolaj Siersbæk, & Lars Peter Østerdal, 2015. "Multidimensional first-order dominance comparisons of population wellbeing," WIDER Working Paper Series 122, World Institute for Development Economic Research (UNU-WIDER).

    More about this item

    Keywords

    Multidimensional first order dominance; usual stochastic order; characterization; network problem; checking algorithm;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hhs:sdueko:2013_009. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Astrid Holm Nielsen (email available below). General contact details of provider: https://edirc.repec.org/data/okioudk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.