IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-00650750.html
   My bibliography  Save this paper

Utilitarianism or welfarism: does it make a difference?

Author

Listed:
  • Nicolas Gravel

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Patrick Moyes

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

Abstract

We show that it is possible to reconcile the utilitarian and welfarist principles under the requirement of unanimity provided that the set of profiles over which the consensus is attained is rich enough. More precisely, we identify a closedness condition which, if satisfied by a class of n-tuples of utility functions, guarantees that the rankings of social states induced by utilitarian and welfarist unanimities over that class are identical. We illustrate the importance of the result for the measurement of unidimensional as well as multidimensional inequalities from a dominance point of view. Copyright Springer-Verlag 2013

Suggested Citation

  • Nicolas Gravel & Patrick Moyes, 2013. "Utilitarianism or welfarism: does it make a difference?," Post-Print hal-00650750, HAL.
  • Handle: RePEc:hal:journl:hal-00650750
    DOI: 10.1007/s00355-011-0617-3
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005. "Population Issues in Social Choice Theory, Welfare Economics, and Ethics," Cambridge Books, Cambridge University Press, number 9780521532587.
    2. Rothschild, Michael & Stiglitz, Joseph E., 1973. "Some further results on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 188-204, April.
    3. Maurice Salles, 2016. "Social choice," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.), Handbook on the History of Economic Analysis Volume III, chapter 36, pages 518-537, Edward Elgar Publishing.
    4. Udo Ebert & Patrick Moyes, 2009. "Household decisions and equivalence scales," Journal of Population Economics, Springer;European Society for Population Economics, vol. 22(4), pages 1039-1062, October.
    5. Peter C. Fishburn, 1978. "Stochastic Dominance Without Transitive Preferences," Management Science, INFORMS, vol. 24(12), pages 1268-1277, August.
    6. 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.
    7. Simo Puntanen, 2011. "Inequalities: Theory of Majorization and Its Applications, Second Edition by Albert W. Marshall, Ingram Olkin, Barry C. Arnold," International Statistical Review, International Statistical Institute, vol. 79(2), pages 293-293, August.
    8. Anthony F. Shorrocks & James E. Foster, 1987. "Transfer Sensitive Inequality Measures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 485-497.
    9. Stephen P. Jenkins & Peter J. Lambert, 1993. "Ranking Income Distributions When Needs Differ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(4), pages 337-356, December.
    10. Ekern, Steinar, 1981. "Time Dominance Efficiency Analysis," Journal of Finance, American Finance Association, vol. 36(5), pages 1023-1034, December.
    11. Sen, Amartya K, 1979. "Personal Utilities and Public Judgements: Or What's Wrong with Welfare Economics?," Economic Journal, Royal Economic Society, vol. 89(355), pages 537-558, September.
    12. Barnett,William A. & Moulin,Hervé & Salles,Maurice & Schofield,Norman J. (ed.), 1995. "Social Choice, Welfare, and Ethics," Cambridge Books, Cambridge University Press, number 9780521443401.
    13. Patrick MOYES, 2011. "Rearrangements and Sequential Rank Order Dominance. A Result with Economic Applications," Cahiers du GREThA (2007-2019) 2011-35, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    14. Anthony Shorrocks, 2004. "Inequality and welfare evaluation of heterogeneous income distributions," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(3), pages 193-218, July.
    15. Karcher, T. & Moyes, P. & Trannoy, Y., 1993. "The Stochastic Dominance Ordering of Income Distributions of Over Time. I," Papers 9304, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    16. 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.
    17. 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).
    18. Marc Fleurbaey & Cyrille Hagneré & Alain Trannoy, 2007. "Welfare Comparisons of Income Distributions and Family Size," IDEP Working Papers 0702, Institut d'economie publique (IDEP), Marseille, France, revised 16 Jan 2007.
    19. 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.
    20. Anthony F. Shorrocks, 2004. "Inequality and Welfare Evaluation of Heterogeneous Income Distributions," WIDER Working Paper Series RP2004-01, World Institute for Development Economic Research (UNU-WIDER).
    21. Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-1572, October.
    22. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    23. Fleurbaey, Marc & Hagnere, Cyrille & Trannoy, Alain, 2003. "Welfare comparisons with bounded equivalence scales," Journal of Economic Theory, Elsevier, vol. 110(2), pages 309-336, June.
    24. Rubin Saposnik, 1983. "On evaluating income distributions: Rank dominance, the Suppes-Sen grading principle of justice, and Pareto optimality," Public Choice, Springer, vol. 40(3), pages 329-336, January.
    25. Whitmore, G A, 1970. "Third-Degree Stochastic Dominance," American Economic Review, American Economic Association, vol. 60(3), pages 457-459, June.
    26. Le Breton, Michel, 1987. "Stochastic dominance: A bibliographical rectification and a restatement of whitmore's theorem," Mathematical Social Sciences, Elsevier, vol. 13(1), pages 73-79, February.
    27. Patrick Moyes & Stephen Bazen, 2003. "International Comparisons of Income Distribution," LIS Working papers 341, LIS Cross-National Data Center in Luxembourg.
    28. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
    29. Bohren, Oyvind & Hansen, Terje, 1980. " Capital Budgeting with Unspecified Discount Rates," Scandinavian Journal of Economics, Wiley Blackwell, vol. 82(1), pages 45-58.
    30. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    31. Udo Ebert, 2004. "Social welfare, inequality, and poverty when needs differ," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(3), pages 415-448, December.
    32. Blackorby, Charles & Donaldson, David, 1977. "Utility vs equity : Some plausible quasi-orderings," Journal of Public Economics, Elsevier, vol. 7(3), pages 365-381, June.
    33. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
    34. Marc Fleurbaey & Maurice Salles & John A. Weymark (ed.), 2011. "Social Ethics and Normative Economics," Studies in Choice and Welfare, Springer, number 978-3-642-17807-8, December.
    35. Jenkins, Stephen P & Lambert, Peter J, 1993. "Ranking Income Distributions When Needs Differ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(4), pages 337-356, December.
    36. Blackorby, Charles & Donaldson, David, 1982. "Ratio-Scale and Translation-Scale Full Interpersonal Comparability without Domain Restrictions: Admissible Social-Evaluation Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 249-268, June.
    37. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    38. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    39. Basu, Kaushik & Mitra, Tapan, 2007. "Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 350-373, March.
    40. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125, Elsevier.
    41. Madden, Paul, 1996. "Suppes-Sen dominance, generalised Lorenz dominance and the welfare economics of competitive equilibrium: Some examples," Journal of Public Economics, Elsevier, vol. 61(2), pages 247-262, August.
    42. Rubin Saposnik, 1981. "Rank-dominance in income distributions," Public Choice, Springer, vol. 36(1), pages 147-151, January.
    43. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(1), pages 1-13.
    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. 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. Andrea Gallice, 2019. "Bankruptcy problems with reference-dependent preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 311-336, March.
    3. Mathieu Faure & Nicolas Gravel, 2021. "Reducing Inequalities Among Unequals," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(1), pages 357-404, February.
    4. Xiang Zhou & Samma Faiz Rasool & Jing Yang & Muhammad Zaheer Asghar, 2021. "Exploring the Relationship between Despotic Leadership and Job Satisfaction: The Role of Self Efficacy and Leader–Member Exchange," IJERPH, MDPI, vol. 18(10), pages 1-20, May.
    5. Karsu, Özlem & Morton, Alec & Argyris, Nikos, 2018. "Capturing preferences for inequality aversion in decision support," European Journal of Operational Research, Elsevier, vol. 264(2), pages 686-706.

    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. 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. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    3. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    4. Muller, Christophe & Trannoy, Alain, 2012. "Multidimensional inequality comparisons: A compensation perspective," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1427-1449.
    5. repec:zbw:hohpro:331 is not listed on IDEAS
    6. 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.
    7. Udo Ebert, 2011. "The redistribution of income when needs differ," Working Papers V-331-11, University of Oldenburg, Department of Economics, revised Feb 2011.
    8. repec:old:wpaper:331 is not listed on IDEAS
    9. 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).
    10. Madden, Paul, 1996. "Suppes-Sen dominance, generalised Lorenz dominance and the welfare economics of competitive equilibrium: Some examples," Journal of Public Economics, Elsevier, vol. 61(2), pages 247-262, August.
    11. Stephen Bazen & Patrick Moyes, 2012. "Elitism and stochastic dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 207-251, June.
    12. 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.
    13. Ok, Efe A. & Lambert, Peter J., 1999. "On evaluating social welfare by sequential generalized Lorenz dominance," Economics Letters, Elsevier, vol. 63(1), pages 45-53, April.
    14. Fleurbaey, Marc & Hagneré, Cyrille & Trannoy, Alain, 2014. "Welfare comparisons of income distributions and family size: An individualistic approach," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 12-27.
    15. Udo Ebert & Patrick Moyes, 2017. "Inequality and isoelastic equivalence scales: restrictions and implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 295-326, February.
    16. Christophe Muller, 2019. "Social Shock Sharing and Stochastic Dominance," AMSE Working Papers 1903, Aix-Marseille School of Economics, France.
    17. Nicolas Gravel & Abhiroop Mukhopadhyay, 2010. "Is India better off today than 15 years ago? A robust multidimensional answer," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(2), pages 173-195, June.
    18. 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.
    19. Peter J. Lambert & Xavier Ramos, 2001. "Welfare comparisons: sequential procedures for heterogenous population," Working Papers wp0114, Department of Applied Economics at Universitat Autonoma of Barcelona.
    20. Christophe Muller & Alain Trannoy, 2003. "A Dominance Approach to Well-Being Inequality across Countries," IDEP Working Papers 0313, Institut d'economie publique (IDEP), Marseille, France.
    21. Amiel, Yoram & Cowell, Frank, 2001. "Risk and inequality perceptions," LSE Research Online Documents on Economics 2058, London School of Economics and Political Science, LSE Library.
    22. 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.

    More about this item

    Keywords

    Economie Quantitative;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

    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:hal:journl:hal-00650750. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.