IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v137y2015icp59-61.html
   My bibliography  Save this article

Axiomatic theories of utilitarianism and weak utilitarianism

Author

Listed:
  • Mori, Osamu

Abstract

We study axiomatic theories of utilitarianism and weak utilitarianism introducing new axioms we call monotonicity, strict monotonicity, and strong monotonicity with respect to individual utility differences. Utilitarianism is characterized by anonymity and strong monotonicity, and weak utilitarianism is implied by strong Pareto, anonymity, and monotonicity, or anonymity and strict monotonicity.

Suggested Citation

  • Mori, Osamu, 2015. "Axiomatic theories of utilitarianism and weak utilitarianism," Economics Letters, Elsevier, vol. 137(C), pages 59-61.
  • Handle: RePEc:eee:ecolet:v:137:y:2015:i:c:p:59-61
    DOI: 10.1016/j.econlet.2015.10.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176515004218
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2015.10.019?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. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 199-209.
    2. Gevers, Louis, 1979. "On Interpersonal Comparability and Social Welfare Orderings," Econometrica, Econometric Society, vol. 47(1), pages 75-89, January.
    3. Deschamps, Robert & Gevers, Louis, 1978. "Leximin and utilitarian rules: A joint characterization," Journal of Economic Theory, Elsevier, vol. 17(2), pages 143-163, April.
    4. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975, Decembrie.
    5. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2002. "Utilitarianism and the theory of justice," 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 11, pages 543-596, Elsevier.
    6. Eric Maskin, 1978. "A Theorem on Utilitarianism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 93-96.
    Full references (including those not matched with items on IDEAS)

    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. Blackorby, Charles & Bossert, Walter, 2004. "Interpersonal comparisons of well-being," Economic Research Papers 269605, University of Warwick - Department of Economics.
    2. Anirudha Balasubramanian, 2015. "On weighted utilitarianism and an application," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 745-763, April.
    3. Hirofumi Yamamura, 2017. "Interpersonal comparison necessary for Arrovian aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 37-64, June.
    4. Kamaga, Kohei, 2018. "When do utilitarianism and egalitarianism agree on evaluation? An intersection approach," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 41-48.
    5. Walter Bossert & Kohei Kamaga, 2020. "An axiomatization of the mixed utilitarian–maximin social welfare orderings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 451-473, March.
    6. 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.
    7. Sakamoto, Norihito, 2020. "Equity Principles and Interpersonal Comparison of Well-being: Old and New Joint Characterizations of Generalized Leximin, Rank-dependent Utilitarian, and Leximin Rules," RCNE Discussion Paper Series 7, Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University.
    8. Charles Blackorby & Walter Bossert & David Donaldson, 2005. "Multi-profile welfarism: A generalization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(2), pages 253-267, April.
    9. Antonin Macé, 2017. "Voting with evaluations: characterizations of evaluative voting and range voting," Working Papers halshs-01222200, HAL.
    10. Levin, Vladimir L., 2010. "On collective utility functions admitting linear representations," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 364-371, May.
    11. Charles Blackorby & Walter Bossert & David Donaldson, 2007. "Intertemporal Social Evaluation," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 9, pages 131-154, Palgrave Macmillan.
    12. Levin, Vladimir L., 2009. "New axiomatic characterizations of utilitarianism," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 15-24, July.
    13. Ou-Yang, Kui, 2018. "Equity, hierarchy, and ordinal social choice," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 75-84.
    14. d’ASPREMONT, Claude, 2005. "Formal welfarism and intergenerational equity," LIDAM Discussion Papers CORE 2005075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Kaminski, Marek M., 2004. "Social choice and information: the informational structure of uniqueness theorems in axiomatic social theories," Mathematical Social Sciences, Elsevier, vol. 48(2), pages 121-138, September.
    16. Georgios Gerasimou, 2019. "Simple Preference Intensity Comparisons," Discussion Paper Series, School of Economics and Finance 201905, School of Economics and Finance, University of St Andrews, revised 27 Apr 2020.
    17. Antonin Macé, 2015. "Voting with Evaluations: When Should We Sum? What Should We Sum?," AMSE Working Papers 1544, Aix-Marseille School of Economics, France, revised 29 Oct 2015.
    18. Juan Candeal, 2013. "Invariance axioms for preferences: applications to social choice theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 453-471, September.
    19. Paolo Giovanni Piacquadio, 2017. "A Fairness Justification of Utilitarianism," Econometrica, Econometric Society, vol. 85, pages 1261-1276, July.
    20. John A Weymark, 2012. "Social Welfare Functions," Vanderbilt University Department of Economics Working Papers vuecon-sub-13-00018, Vanderbilt University Department of Economics.

    More about this item

    Keywords

    Social welfare ordering; Utilitarianism; Weak utilitarianism; Anonymity; Monotonicity;
    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:ecolet:v:137:y:2015:i:c:p:59-61. 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/ecolet .

    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.