IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v147y2012i4p1545-1571.html
   My bibliography  Save this article

Equally-distributed equivalent utility, ex post egalitarianism and utilitarianism

Author

Listed:
  • Grant, Simon
  • Kajii, Atsushi
  • Polak, Ben
  • Safra, Zvi

Abstract

We provide an axiomatization of expected equally-distributed equivalent-utility social welfare functions in the context of Harsanyiʼs impartial observer theorem. For this family of social welfare functions, we show what additional axiom is necessary and sufficient for the observer to exhibit aversion to ex post inequality. We also relate this axiomatization to our axiomatization in a companion paper of generalized utilitarian social welfare functions. Given certain richness assumptions, the only social welfare functions that belong to both families are the utilitarian.

Suggested Citation

  • Grant, Simon & Kajii, Atsushi & Polak, Ben & Safra, Zvi, 2012. "Equally-distributed equivalent utility, ex post egalitarianism and utilitarianism," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1545-1571.
    • Handle: RePEc:eee:jetheo:v:147:y:2012:i:4:p:1545-1571
    DOI: 10.1016/j.jet.2011.04.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053111000536
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2011.04.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    2. Simon Grant & Atsushi Kajii & Ben Polak & Zvi Safra, 2010. "Generalized Utilitarianism and Harsanyi's Impartial Observer Theorem," Econometrica, Econometric Society, vol. 78(6), pages 1939-1971, November.
    3. Thibault Gajdos & Feriel Kandil, 2008. "The ignorant observer," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 193-232, August.
    4. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75(5), pages 765-765.
    5. Edi Karni & John A. Weymark, 1998. "An informationally parsimonious impartial observer theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 321-332.
    6. Alon Harel, 2005. "Ex-Post Egalitarianism and Legal Justice," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 21(1), pages 57-75, April.
    7. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    8. John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61(5), pages 434-434.
    9. 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.
    10. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    11. Thibault Gajdos & Feriel Kandil, 2008. "The ignorant observer," Post-Print halshs-00177374, HAL.
    12. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    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. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2020. "Utilitarianism with and without expected utility," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 77-113.
    2. Loïc Berger & Johannes Emmerling, 2020. "Welfare As Equity Equivalents," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 727-752, September.
    3. Piacquadio, Paolo G., 2020. "The ethics of intergenerational risk," Journal of Economic Theory, Elsevier, vol. 186(C).
    4. Fleurbaey, Marc & Zuber, Stéphane, 2015. "Discounting, beyond utilitarianism," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 9, pages 1-52.
    5. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2023. "Taxation behind the veil of ignorance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 165-181, January.
    6. Gajdos, Thibault & Weymark, John A., 2012. "Introduction to inequality and risk," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1313-1330.
    7. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2016. "Utilitarianism with and without expected utility," MPRA Paper 72578, University Library of Munich, Germany.
    8. Luciano Andreozzi, 2019. "On Being Inequality Averse: Measurement and Behavioral Characterization," DEM Working Papers 2019/10, Department of Economics and Management.
    9. Berger, Loïc & Emmerling, Johannes, 2017. "Welfare as Simple(x) Equity Equivalents," MITP: Mitigation, Innovation and Transformation Pathways 254044, Fondazione Eni Enrico Mattei (FEEM).
    10. Al-Najjar, Nabil I. & Pomatto, Luciano, 2020. "Aggregate risk and the Pareto principle," Journal of Economic Theory, Elsevier, vol. 189(C).
    11. Tigran Melkonyan & Zvi Safra & Sinong Ma, 2021. "Justice in an uncertain world: Evidence on donations to cancer research," Journal of Risk and Uncertainty, Springer, vol. 62(3), pages 281-311, June.
    12. Chew, Soo Hong & Sagi, Jacob S., 2012. "An inequality measure for stochastic allocations," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1517-1544.

    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. Marc Fleurbaey, 2018. "Welfare economics, risk and uncertainty," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(1), pages 5-40, February.
    2. Piacquadio, Paolo G., 2020. "The ethics of intergenerational risk," Journal of Economic Theory, Elsevier, vol. 186(C).
    3. Berens, Stefan & Chochua, Lasha, 2017. "The impartial observer under uncertainty," Center for Mathematical Economics Working Papers 576, Center for Mathematical Economics, Bielefeld University.
    4. Philippe Mongin & Marcus Pivato, 2021. "Rawls’s difference principle and maximin rule of allocation: a new analysis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1499-1525, June.
    5. Marc Fleurbaey & Stéphane Zuber, 2013. "Inequality aversion and separability in social risk evaluation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 675-692, November.
    6. Asheim, Geir B. & Zuber, Stéphane, 2016. "Evaluating intergenerational risks," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 104-117.
    7. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2016. "Utilitarianism with and without expected utility," MPRA Paper 72578, University Library of Munich, Germany.
    8. Thibault Gajdos & Feriel Kandil, 2008. "The ignorant observer," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 193-232, August.
    9. Asheim, Geir B. & Zuber, Stéphane, 2015. "Evaluating Intergenerational Risks: Probabillity Adjusted Rank-Discounted Utilitarianism," Memorandum 06/2015, Oslo University, Department of Economics.
    10. Antoine Bommier & Stéphane Zuber, 2012. "The Pareto Principle Of Optimal Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(2), pages 593-608, May.
    11. Geir B. Asheim & Stéphane Zuber, 2014. "Probability Adjusted Rank-Discounted Utilitarianism," CESifo Working Paper Series 4728, CESifo.
    12. Christopher Bennett & Ričardas Zitikis, 2015. "Ignorance, lotteries, and measures of economic inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(2), pages 309-316, June.
    13. Chew, Soo Hong & Sagi, Jacob S., 2012. "An inequality measure for stochastic allocations," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1517-1544.
    14. Michael Moehler, 2013. "Contractarian ethics and Harsanyi’s two justifications of utilitarianism," Politics, Philosophy & Economics, , vol. 12(1), pages 24-47, February.
    15. Marc Fleurbaey & Philippe Mongin, 2016. "The Utilitarian Relevance of the Aggregation Theorem," American Economic Journal: Microeconomics, American Economic Association, vol. 8(3), pages 289-306, August.
    16. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2020. "Utilitarianism with and without expected utility," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 77-113.
    17. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.
    18. Gajdos, Thibault & Weymark, John A., 2012. "Introduction to inequality and risk," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1313-1330.
    19. Simon Grant & Atsushi Kajii & Ben Polak, 2003. "Accidents of Birth, Life Chances and the Impartial Observer," ISER Discussion Paper 0582, Institute of Social and Economic Research, Osaka University.
    20. Stefan Traub & Christian Seidl & Ulrich Schmidt & Maria Levati, 2005. "Friedman, Harsanyi, Rawls, Boulding – or somebody else? An experimental investigation of distributive justice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(2), pages 283-309, April.

    More about this item

    Keywords

    Utilitarianism; Harsanyiʼs (impartial) observer; Social welfare function; Ex post egalitarianism;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:eee:jetheo:v:147:y:2012:i:4:p:1545-1571. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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.