[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/cdl/ucsdec/qt8ms3g4t1.html
   My bibliography  Save this paper

Min, Max, and Sum

Author

Listed:
  • Segal, Uzi
  • Sobel, Joel
Abstract
This paper provides characterization theorems for preferences that can be represented by the minimum, the maximum, and the sum of components, or combinations of these forms. It contains a discussion of applications to social choice.

Suggested Citation

  • Segal, Uzi & Sobel, Joel, 2000. "Min, Max, and Sum," University of California at San Diego, Economics Working Paper Series qt8ms3g4t1, Department of Economics, UC San Diego.
    • Handle: RePEc:cdl:ucsdec:qt8ms3g4t1
    as

    Download full text from publisher

    File URL: https://www.escholarship.org/uc/item/8ms3g4t1.pdf;origin=repeccitec
    Download Restriction: no
    ---><---

    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. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    3. 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.
    4. Bliss, C. J., 1975. "Capital Theory and the Distribution of Income," Elsevier Monographs, Elsevier, edition 1, number 9780720436044 edited by Bliss, C. J..
    5. Segal, Uzi, 1992. "Additively separable representations on non-convex sets," Journal of Economic Theory, Elsevier, vol. 56(1), pages 89-99, February.
    6. Edi Karni, 1998. "Impartiality: Definition and Representation," Econometrica, Econometric Society, vol. 66(6), pages 1405-1416, November.
    7. W. M. Gorman, 1968. "The Structure of Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(4), pages 367-390.
    8. Ben-Porath, Elchanan & Gilboa, Itzhak & Schmeidler, David, 1997. "On the Measurement of Inequality under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(1), pages 194-204, July.
    9. Yaari, Menahem E., 1981. "Rawls, edgeworth, shapley, nash: Theories of distributive justice re-examined," Journal of Economic Theory, Elsevier, vol. 24(1), pages 1-39, February.
    10. 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.
    11. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    12. Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February.
    13. Mak, King-Tim, 1984. "Notes on separable preferences," Journal of Economic Theory, Elsevier, vol. 33(2), pages 309-321, August.
    14. 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.
    15. 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.
    16. Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, November.
    17. Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation for Research in Economics, Yale University.
    18. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
    19. Eric Maskin, 1978. "A Theorem on Utilitarianism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 93-96.
    20. Fare, Rolf & Primont, Daniel, 1981. "Separability vs strict separability: A further result," Journal of Economic Theory, Elsevier, vol. 25(3), pages 455-460, December.
    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. Marcello D’Agostino & Valentino Dardanoni, 2009. "What’s so special about Euclidean distance?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 211-233, August.
    2. De Castro, Luciano & Yannelis, Nicholas C., 2018. "Uncertainty, efficiency and incentive compatibility: Ambiguity solves the conflict between efficiency and incentive compatibility," Journal of Economic Theory, Elsevier, vol. 177(C), pages 678-707.
    3. Aniruddha Ghosh & M. Ali Khan & Metin Uyanık, 2023. "Continuity postulates and solvability axioms in economic theory and in mathematical psychology: a consolidation of the theory of individual choice," Theory and Decision, Springer, vol. 94(2), pages 189-210, February.
    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. Kristof Bosmans & Erwin Ooghe, 2013. "A characterization of maximin," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 151-156, November.
    6. Mitra, Manipushpak & Sen, Debapriya, 2014. "Subsistence induced and complementarity induced irrelevance in preferences," MPRA Paper 59474, University Library of Munich, Germany.
    7. 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.
    8. Luciano De Castro & Nicholas C. Yannelis, 2011. "Ambiguity aversion solves the conflict between efficiency and incentive compatibility," Economics Discussion Paper Series 1106, Economics, The University of Manchester.
    9. Hougaard, Jens Leth & Keiding, Hans, 2005. "Rawlsian maximin, Dutch books, and non-additive expected utility," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 239-251, November.
    10. Jensen, Martin Kaae & Kozlovskaya, Maria, 2016. "A representation theorem for guilt aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 148-161.
    11. Mark Voorneveld, 2014. "From preferences to Leontief utility," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 197-204, October.
    12. Nabil I. Al-Najjar & Luciano De Castro, 2010. "Uncertainty, Efficiency and Incentive Compatibility," Discussion Papers 1532, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Kuntal Banerjee, 2014. "On the representation of preference orders on sequence spaces," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 497-506, August.

    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. Segal, Uzi & Sobel, Joel, 2002. "Min, Max, and Sum," Journal of Economic Theory, Elsevier, vol. 106(1), pages 126-150, September.
    2. 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.
    3. Sinong Ma & Zvi Safra, 2019. "Fairness and utilitarianism without independence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 29-52, February.
    4. Ma, Sinong & Safra, Zvi, 2016. "Fairness and Utilitarianism without Independence," CRETA Online Discussion Paper Series 20, Centre for Research in Economic Theory and its Applications CRETA.
    5. 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.
    6. Piacquadio, Paolo G., 2020. "The ethics of intergenerational risk," Journal of Economic Theory, Elsevier, vol. 186(C).
    7. Marcus Pivato, 2009. "Twofold optimality of the relative utilitarian bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 79-92, January.
    8. Pivato, Marcus, 2007. "A non-monetary form of Clarke pivotal voting," MPRA Paper 3964, University Library of Munich, Germany.
    9. David Heyd & Uzi Segal, 2006. "Democratically Elected Aristocracies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 103-127, August.
    10. Omer F. Baris, 2018. "Timing effect in bargaining and ex ante efficiency of the relative utilitarian solution," Theory and Decision, Springer, vol. 84(4), pages 547-556, June.
    11. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.
    12. Sprumont, Yves, 2018. "Belief-weighted Nash aggregation of Savage preferences," Journal of Economic Theory, Elsevier, vol. 178(C), pages 222-245.
    13. Yves Sprumont, 2013. "On relative egalitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1015-1032, April.
    14. 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.
    15. Yves Sprumont, 2020. "Nash welfarism and the distributive implications of informational constraints," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 49-64, April.
    16. Pivato, Marcus, 2006. "Approximate implementation of Relative Utilitarianism via Groves-Clarke pivotal voting with virtual money," MPRA Paper 627, University Library of Munich, Germany.
    17. 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.
    18. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2020. "Utilitarianism with and without expected utility," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 77-113.
    19. Tilman Börgers & Yan-Min Choo, 2017. "Revealed Relative Utilitarianism," CESifo Working Paper Series 6613, CESifo.
    20. Thibault Gajdos & John Weymark, 2005. "Multidimensional generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 471-496, October.

    More about this item

    Keywords

    monotonicty; symmetry;

    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:cdl:ucsdec:qt8ms3g4t1. 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: Lisa Schiff (email available below). General contact details of provider: https://edirc.repec.org/data/deucsus.html .

    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.