Inequality Measurement with an Ordinal and Continuous Variable
Author
Abstract
Suggested Citation
Download full text from publisher
Other versions of this item:
- 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.
- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2019. "Inequality measurement with an ordinal and continuous variable [Mesure des Inégalités avec une Variable Ordinale et Continue]," Post-Print hal-01945306, HAL.
References listed on IDEAS
- 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.
- Chakravarty, Satya R. & Zoli, Claudio, 2012. "Stochastic dominance relations for integer variables," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1331-1341.
- Amiel,Yoram & Cowell,Frank, 1999. "Thinking about Inequality," Cambridge Books, Cambridge University Press, number 9780521466967.
- Moyes, Patrick, 2013.
"Rearrangements and sequential rank order dominance,"
Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 278-290.
- Patrick MOYES, 2013. "Rearrangements and Sequential Rank Order Dominance," Cahiers du GREThA (2007-2019) 2013-10, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- Patrick Moyes, 2013. "Rearrangements and sequential rank order dominance," Post-Print hal-01135291, HAL.
- Gaston Yalonetzky, 2013. "Stochastic Dominance with Ordinal Variables: Conditions and a Test," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 126-163, January.
- Tungodden, Bertil, 2000.
"Egalitarianism: Is Leximin the Only Option?,"
Economics and Philosophy, Cambridge University Press, vol. 16(2), pages 229-245, October.
- Tungodden, B., 1999. "Egalitarianism: Is Leximin the Only Option?," Papers 4/99, Norwegian School of Economics and Business Administration-.
- Frank A. Cowell & Emmanuel Flachaire, 2017.
"Inequality with Ordinal Data,"
Economica, London School of Economics and Political Science, vol. 84(334), pages 290-321, April.
- Frank Cowell & Emmanuel Flachaire, 2017. "Inequality with Ordinal Data," Post-Print hal-01682346, HAL.
- Brice Magdalou & Patrick Moyes, 2009.
"Deprivation, welfare and inequality,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 253-273, February.
- Patrick Moyes & Brice Magdalou, 2007. "Deprivation, welfare and inequality," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00389600, HAL.
- Patrick Moyes & Brice Magdalou, 2009. "Deprivation, wellfare and inequality," Post-Print hal-00293356, HAL.
- Patrick Moyes & Brice Magdalou, 2007. "Deprivation, welfare and inequality," Post-Print hal-00389600, HAL.
- Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
- Hammond, Peter J, 1979. "Equity in Two Person Situations: Some Consequences," Econometrica, Econometric Society, vol. 47(5), pages 1127-1135, September.
- 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.
- Patrick Moyes & Nicolas Gravel, 2011. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Post-Print hal-00796064, HAL.
- Patrick MOYES & Nicolas GRAVEL, 2011. "Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute," Cahiers du GREThA (2007-2019) 2011-36, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- Patrick Moyes & Nicolas Gravel, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Post-Print hal-00796050, HAL.
- Moyes, Patrick, 2012.
"Comparisons of heterogeneous distributions and dominance criteria,"
Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
- Patrick Moyes, 2010. "Comparisons of heterogeneous distributions and dominance criteria," Post-Print hal-00796072, HAL.
- Patrick MOYES, 2011. "Comparisons of Heterogeneous Distributions and Dominance Criteria," Cahiers du GREThA (2007-2019) 2011-23, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- Patrick Moyes, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Post-Print hal-00650745, HAL.
- Patrick Moyes, 2011. "Comparisons of heterogeneous distributions and dominance criteria," Post-Print hal-00796067, HAL.
- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2014.
"Ranking Distributions of an Ordinal Attribute,"
AMSE Working Papers
1450, Aix-Marseille School of Economics, France.
- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2015. "Ranking Distributions of an Ordinal Attribute," Working Papers halshs-01082996, HAL.
- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2014. "Ranking distributions of an ordinal attribute," Working Papers 14-13, LAMETA, Universtiy of Montpellier, revised Nov 2014.
- Gevers, Louis, 1979. "On Interpersonal Comparability and Social Welfare Orderings," Econometrica, Econometric Society, vol. 47(1), pages 75-89, January.
- Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
- 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.
- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2021. "Ranking distributions of an ordinal variable," Post-Print hal-02383191, HAL.
- 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.
- Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
- Donaldson, David & Weymark, John A., 1998. "A Quasiordering Is the Intersection of Orderings," Journal of Economic Theory, Elsevier, vol. 78(2), pages 382-387, February.
- Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-1572, October.
- Kevin W. S. Roberts, 1980. "Possibility Theorems with Interpersonally Comparable Welfare Levels," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 409-420.
- Allison, R. Andrew & Foster, James E., 2004. "Measuring health inequality using qualitative data," Journal of Health Economics, Elsevier, vol. 23(3), pages 505-524, May.
- Buhong Zheng, 2011. "A new approach to measure socioeconomic inequality in health," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 555-577, December.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Magdalou, Brice, 2021.
"A model of social welfare improving transfers,"
Journal of Economic Theory, Elsevier, vol. 196(C).
- Brice Magdalou, 2018. "A model of social welfare improving transfers," Working Papers hal-01975452, HAL.
- Brice Magdalou, 2021. "A model of social welfare improving transfers," Post-Print hal-03287960, HAL.
- Brice Magdalou, 2019. "A model of social welfare improving transfers," Post-Print halshs-02108590, HAL.
- Brice Magdalou, 2018. "A model of social welfare improving transfers," CEE-M Working Papers hal-01975452, CEE-M, Universtiy of Montpellier, CNRS, INRA, Montpellier SupAgro.
- 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.
- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2021. "Ranking distributions of an ordinal variable," Post-Print hal-02383191, HAL.
- Stéphane Gonzalez & Annick Laruelle & Philippe Solal, 2019.
"Dilemma with approval and disapproval votes,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 497-517, October.
- Stéphane Gonzalez & Annick Laruelle & Philippe Solal, 2019. "Dilemma with approval and disapproval votes," Post-Print halshs-02194037, HAL.
- Tzu-Ying Chen & Yi-Hsin Elsa Hsu & Rachel J. Huang & Larry Y. Tzeng, 2021. "Making socioeconomic health inequality comparisons when health concentration curves intersect," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(4), pages 875-899, November.
- Enza Simeone, 2023. "Inequality in health status during the COVID-19 in the UK: does the impact of the second lockdown policy matter?," Working Papers 661, ECINEQ, Society for the Study of Economic Inequality.
- Suman Seth & Gaston Yalonetzky, 2021.
"Assessing Deprivation with an Ordinal Variable: Theory and Application to Sanitation Deprivation in Bangladesh,"
The World Bank Economic Review, World Bank, vol. 35(3), pages 793-811.
- Seth,Suman & Yalonetzky,Gaston, 2020. "Assessing Deprivation with an Ordinal Variable : Theory and Application to Sanitation Deprivation in Bangladesh," Policy Research Working Paper Series 9120, The World Bank.
- 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.
- Valérie Bérenger & Jacques Silber, 2022. "On the Measurement of Happiness and of its Inequality," Journal of Happiness Studies, Springer, vol. 23(3), pages 861-902, March.
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.- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2017.
"Hammond’s Equity Principle and the Measurement of Ordinal Inequalities,"
AMSE Working Papers
1703, Aix-Marseille School of Economics, France.
- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2017. "Hammond’s Equity Principle and the Measurement of Ordinal Inequalities," Working Papers halshs-01430838, HAL.
- Nicolas GRAVEL & Brice MAGDALOU & Patrick MOYES, 2017. "Hammond\'s Equity Principle and the Measurement of Ordinal Inequalities," Cahiers du GREThA (2007-2019) 2017-03, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2017. "Hammond’s Equity Principle and the Measurement of Ordinal Inequalities »," Working Papers 17-03, LAMETA, Universtiy of Montpellier.
- 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.
- Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2021. "Ranking distributions of an ordinal variable," Post-Print hal-02383191, HAL.
- 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.
- Patrick Moyes & Nicolas Gravel, 2011. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Post-Print hal-00796064, HAL.
- Patrick MOYES & Nicolas GRAVEL, 2011. "Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute," Cahiers du GREThA (2007-2019) 2011-36, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- Patrick Moyes & Nicolas Gravel, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Post-Print hal-00796050, HAL.
- 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.
- Hussain, M. Azhar & Siersbæk, Nikolaj & Østerdal, Lars Peter, 2017. "Multidimensional Welfare Comparisons of EU Member States Before, During, and After the Financial Crisis: A Dominance Approach," Discussion Papers on Economics 10/2017, University of Southern Denmark, Department of Economics.
- Nicolas Gravel & Patrick Moyes, 2011.
"Bidimensional Inequalities with an Ordinal Variable,"
Studies in Choice and Welfare, in: Marc Fleurbaey & Maurice Salles & John A. Weymark (ed.), Social Ethics and Normative Economics, pages 101-127,
Springer.
- N. GRAVEL & Patrick MOYES, 2008. "Bidimensional Inequalities with an Ordinal Variable," Cahiers du GREThA (2007-2019) 2008-14, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- 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.
- N. GRAVEL & Patrick MOYES, 2008.
"Bidimensional Inequalities with an Ordinal Variable,"
Cahiers du GREThA (2007-2019)
2008-14, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- Patrick Moyes, 2011. "Bidimensional inequalities with an ordinal variable," Post-Print hal-00650787, HAL.
- Patrick Moyes, 2009. "Bidimensional inequalities with an ordinal variable," Post-Print hal-00285476, HAL.
- Martyna Kobus & Olga Półchłopek & Gaston Yalonetzky, 2019. "Inequality and Welfare in Quality of Life Among OECD Countries: Non-parametric Treatment of Ordinal Data," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 143(1), pages 201-232, May.
- 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.
- Sonne-Schmidt, Christoffer & Tarp, Finn & Østerdal, Lars Peter, 2015. "Ordinal bivariate inequality: concepts and application to child deprivation in Mozambique," Discussion Papers on Economics 1/2015, University of Southern Denmark, Department of Economics.
- Frank A Cowell & Martyna Kobus & Radoslaw Kurek, 2017. "Welfare and Inequality Comparisons for Uni- and Multi-dimensional Distributions of Ordinal Data," STICERD - Public Economics Programme Discussion Papers 31, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Fatiha Bennia & Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2022.
"Is body weight better distributed among men than among women? A robust normative analysis for France, the UK, and the US,"
Scandinavian Journal of Economics, Wiley Blackwell, vol. 124(1), pages 69-103, January.
- Fatiha Bennia & Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2022. "Is body weight better distributed among men than among women? A robust normative analysis for France, the UK and the US," Post-Print hal-03135484, HAL.
- Gajdos, Thibault & Weymark, John A., 2012. "Introduction to inequality and risk," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1313-1330.
- Christophe Muller, 2019.
"Social Shock Sharing and Stochastic Dominance,"
AMSE Working Papers
1903, Aix-Marseille School of Economics, France.
- Christophe Muller, 2019. "Social Shock Sharing and Stochastic Dominance," Working Papers halshs-02005735, HAL.
- Magdalou, Brice, 2021.
"A model of social welfare improving transfers,"
Journal of Economic Theory, Elsevier, vol. 196(C).
- Brice Magdalou, 2018. "A model of social welfare improving transfers," CEE-M Working Papers hal-01975452, CEE-M, Universtiy of Montpellier, CNRS, INRA, Montpellier SupAgro.
- Brice Magdalou, 2018. "A model of social welfare improving transfers," Working Papers hal-01975452, HAL.
- Brice Magdalou, 2021. "A model of social welfare improving transfers," Post-Print hal-03287960, HAL.
- Brice Magdalou, 2019. "A model of social welfare improving transfers," Post-Print halshs-02108590, HAL.
- Nicolas Gravel & Patrick Moyes, 2013.
"Utilitarianism or welfarism: does it make a difference?,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 529-551, February.
- Nicolas Gravel & Patrick Moyes, 2011. "Utilitarianism or Welfarism: Does it Make a Difference?," Working Papers halshs-00634010, HAL.
- Nicolas Gravel & Patrick Moyes, 2013. "Utilitarianism or welfarism: does it make a difference?," Post-Print hal-00650750, HAL.
- Patrick MOYES & Nicolas GRAVEL, 2011. "Utilitarianism or Welfarism: Does it Make a Difference?," Cahiers du GREThA (2007-2019) 2011-30, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- Suman Seth and Gaston Yalonetzky, 2018. "Assessing Deprivation with Ordinal Variables: Depth Sensitivity and Poverty Aversion," OPHI Working Papers ophiwp123.pdf, Queen Elizabeth House, University of Oxford.
- Benoît Tarroux, 2015.
"Comparing two-dimensional distributions: a questionnaire-experimental approach,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 87-108, January.
- Benoît Tarroux, 2015. "Comparing two-dimensional distributions: a questionnaire-experimental approach," Post-Print halshs-01023739, HAL.
- d'Aspremont, Claude & Gevers, Louis, 2002.
"Social welfare functionals and interpersonal comparability,"
Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 10, pages 459-541,
Elsevier.
- d’ASPREMONT, Claude & GEVERS, Louis, 2001. "Social welfare functionals and interpersonal comparability," LIDAM Discussion Papers CORE 2001040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- D'ASPREMONT, Claude & GEVERS, Louis, 2002. "Social welfare functionals and interpersonal comparability," LIDAM Reprints CORE 1564, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Moyes, Patrick, 2012.
"Comparisons of heterogeneous distributions and dominance criteria,"
Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
- Patrick Moyes, 2010. "Comparisons of heterogeneous distributions and dominance criteria," Post-Print hal-00796072, HAL.
- Patrick Moyes, 2011. "Comparisons of heterogeneous distributions and dominance criteria," Post-Print hal-00796067, HAL.
- Patrick Moyes, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Post-Print hal-00650745, HAL.
- Patrick MOYES, 2011. "Comparisons of Heterogeneous Distributions and Dominance Criteria," Cahiers du GREThA (2007-2019) 2011-23, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- 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).
More about this item
Keywords
Ordinal inequality; Hammond equity principle; Leximin; Antileximax;All these keywords.
JEL classification:
- D30 - Microeconomics - - Distribution - - - General
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
NEP fields
This paper has been announced in the following NEP Reports:- NEP-UPT-2018-11-05 (Utility Models and Prospect Theory)
Statistics
Access and download statisticsCorrections
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:grt:wpegrt:2018-21. 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: Ernest Miguelez (email available below). General contact details of provider: https://edirc.repec.org/data/ifredfr.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.