IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v46y2010i3p364-371.html
   My bibliography  Save this article

On collective utility functions admitting linear representations

Author

Listed:
  • Levin, Vladimir L.

Abstract

Given n experts, a set X of alternative projects, and various classes of individual utility functions u1,...,un on X, we characterize collective utility functions (CUFs) of the form where [alpha]i are positive numbers.

Suggested Citation

  • Levin, Vladimir L., 2010. "On collective utility functions admitting linear representations," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 364-371, May.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:3:p:364-371
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(10)00015-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Kevin W. S. Roberts, 1980. "Interpersonal Comparability and Social Choice Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 421-439.
    2. Gevers, Louis, 1979. "On Interpersonal Comparability and Social Welfare Orderings," Econometrica, Econometric Society, vol. 47(1), pages 75-89, January.
    3. 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.
    4. Neuefeind, Wilhelm & Trockel, Walter, 1995. "Continuous Linear Representability of Binary Relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 351-356, July.
    5. Levin, Vladimir L., 2009. "New axiomatic characterizations of utilitarianism," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 15-24, July.
    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. Levin, Vladimir L., 2009. "New axiomatic characterizations of utilitarianism," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 15-24, July.
    2. Levin, Vladimir L., 2010. "On social welfare functionals: Representation theorems and equivalence classes," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 299-305, May.
    3. Blackorby, Charles & Bossert, Walter, 2004. "Interpersonal comparisons of well-being," Economic Research Papers 269605, University of Warwick - Department of Economics.
    4. 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.
    5. 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.
    6. Tapan Mitra & Kemal Ozbek, 2021. "Ranking by weighted sum," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 511-532, September.
    7. 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.
    8. 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.
    9. Jon X. Eguia & Dimitrios Xefteris, 2019. "Social welfare with net utilities," Public Choice, Springer, vol. 179(1), pages 41-49, April.
    10. M. Kaneko, 1984. "On interpersonal utility comparisons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 1(3), pages 165-175, October.
    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. 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.
    13. Yew‐Kwang Ng, 1981. "Bentham or Nash? On the Acceptable Form of Social Welfare Functions," The Economic Record, The Economic Society of Australia, vol. 57(3), pages 238-250, September.
    14. Christopher Chambers, 2009. "Intergenerational equity: sup, inf, lim sup, and lim inf," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 243-252, February.
    15. Kotaro Suzumura, 2002. "Introduction to social choice and welfare," Temi di discussione (Economic working papers) 442, Bank of Italy, Economic Research and International Relations Area.
    16. 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.
    17. 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.
    18. Mori, Osamu, 2015. "Axiomatic theories of utilitarianism and weak utilitarianism," Economics Letters, Elsevier, vol. 137(C), pages 59-61.
    19. Partha Dasgupta, 2011. "The Ethics of Intergenerational Distribution: Reply and Response to John E. Roemer," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 50(4), pages 475-493, December.
    20. Mark Schneider & Byung‐Cheol Kim, 2020. "The utilitarian–maximin social welfare function and anomalies in social choice," Southern Economic Journal, John Wiley & Sons, vol. 87(2), pages 629-646, October.

    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:mateco:v:46:y:2010:i:3:p:364-371. 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/jmateco .

    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.