IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-02145100.html
   My bibliography  Save this paper

Utility and income transfer principles: Interplay and incompatibility

Author

Listed:
  • Marc Dubois

    (IL - Institut Langevin - Ondes et Images (UMR7587) - ESPCI Paris - Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris - PSL - Université Paris Sciences et Lettres - SU - Sorbonne Université - CNRS - Centre National de la Recherche Scientifique)

  • Stéphane Mussard

    (CHROME - Détection, évaluation, gestion des risques CHROniques et éMErgents (CHROME) - Nîmes Université - UNIMES - Nîmes Université)

Abstract

In this paper, it is assumed that income does not have a linear correspondence with utility. Consequently, transfers of income and transfers of utility that could improve social welfare are studied. The conditions for the fulfillment of generalized income transfer principles, relevant to any given order of stochastic dominance, are determined. The result relies on Bell polynomials and states that an income transfer principle of any order does not necessarily satisfy the utility transfer principle of the corresponding order.

Suggested Citation

  • Marc Dubois & Stéphane Mussard, 2019. "Utility and income transfer principles: Interplay and incompatibility," Post-Print hal-02145100, HAL.
    • Handle: RePEc:hal:journl:hal-02145100
    DOI: 10.1016/j.mathsocsci.2019.05.001
    Note: View the original document on HAL open archive server: https://hal.science/hal-02145100v1
    as

    Download full text from publisher

    File URL: https://hal.science/hal-02145100v1/document
    Download Restriction: no
    File URL: https://libkey.io/10.1016/j.mathsocsci.2019.05.001?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    2. Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
    3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    4. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    5. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    6. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    7. Eeckhoudt, Louis & Schlesinger, Harris, 2008. "Changes in risk and the demand for saving," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1329-1336, October.
    8. Louis Kaplow, 2010. "Concavity of utility, concavity of welfare, and redistribution of income," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 17(1), pages 25-42, February.
    9. Gayant, Jean-Pascal & Le Pape, Nicolas, 2017. "Increasing Nth degree inequality," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 185-189.
    10. Adler, Matthew & Treich, Nicolas, 2014. "Consumption, Risk and Prioritarianism," TSE Working Papers 14-500, Toulouse School of Economics (TSE).
    11. Kristof Bosmans & Luc Lauwers & Erwin Ooghe, 2018. "Prioritarian Poverty Comparisons with Cardinal and Ordinal Attributes," Scandinavian Journal of Economics, Wiley Blackwell, vol. 120(3), pages 925-942, July.
    12. Louis Kaplow & David Weisbach, 2011. "Discount rates, social judgments, individuals’ risk preferences, and uncertainty," Journal of Risk and Uncertainty, Springer, vol. 42(2), pages 125-143, April.
    13. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(3), pages 465-473.
    14. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
    15. 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.
    16. Fishburn, Peter C. & Willig, Robert D., 1984. "Transfer principles in income redistribution," Journal of Public Economics, Elsevier, vol. 25(3), pages 323-328, 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. Marc Dubois, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Post-Print hal-04692979, HAL.
    2. Dubois, Marc, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 1-10.

    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. Christophe Muller, 2019. "Social Shock Sharing and Stochastic Dominance," AMSE Working Papers 1903, Aix-Marseille School of Economics, France.
    2. Marc Dubois & Stephane Mussard, 2015. "On Income and Utility Generalised Transfer Principles in a Welfarist-Paretian Separable Framework," Cahiers de recherche 15-09, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    3. Gayant, Jean-Pascal & Le Pape, Nicolas, 2017. "Increasing Nth degree inequality," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 185-189.
    4. repec:dau:papers:123456789/11094 is not listed on IDEAS
    5. Chiu, W. Henry, 2019. "Comparative statics in an ordinal theory of choice under risk," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 113-123.
    6. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    7. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
    8. Cockburn, John & Duclos, Jean-Yves & Zabsonré, Agnès, 2014. "Is global social welfare increasing? A critical-level enquiry," Journal of Public Economics, Elsevier, vol. 118(C), pages 151-162.
    9. Kristof Bosmans & Lucio Esposito & Peter Lambert, 2011. "New perspectives on a more-or-less familiar poverty index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 241-247, February.
    10. 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.
    11. Heinzel Christoph & Richard Peter, 2021. "Precautionary motives with multiple instruments," Working Papers SMART 21-09, INRAE UMR SMART.
    12. Makdissi, Paul & Yazbeck, Myra, 2016. "Avoiding blindness to health status in health achievement and health inequality measurement," Social Science & Medicine, Elsevier, vol. 171(C), pages 39-47.
    13. Peter, Richard & Hofmann, Annette, 2024. "Precautionary risk-reduction and saving decisions: Two sides of the same coin?," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 175-194.
    14. Takao Asano & Yusuke Osaki, 2022. "Precautionary Saving against Correlation under Risk and Ambiguity," KIER Working Papers 1071, Kyoto University, Institute of Economic Research.
    15. Michel Denuit & Louis Eeckhoudt & Mario Menegatti, 2011. "Correlated risks, bivariate utility and optimal choices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(1), pages 39-54, January.
    16. Gravel, Nicolas & Poitevin, Michel, 2006. "The progressivity of equalization payments in federations," Journal of Public Economics, Elsevier, vol. 90(8-9), pages 1725-1743, September.
    17. Peter Lambert, 2008. "Tony Atkinson's 1973 manuscript “More on the measurement of inequality”," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(3), pages 275-276, September.
    18. Chateauneuf, Alain & Gajdos, Thibault & Wilthien, Pierre-Henry, 2002. "The Principle of Strong Diminishing Transfer," Journal of Economic Theory, Elsevier, vol. 103(2), pages 311-333, April.
    19. Elisa Pagani, 2015. "Certainty Equivalent: Many Meanings of a Mean," Working Papers 24/2015, University of Verona, Department of Economics.
    20. Elyès Jouini & Clotilde Napp & Diego Nocetti, 2013. "Economic consequences of Nth-degree risk increases and Nth-degree risk attitudes," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 199-224, October.
    21. repec:dau:papers:123456789/12392 is not listed on IDEAS
    22. 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.

    More about this item

    Keywords

    Bell polynomial; Inequality aversion; Transfer principle JEL Classification: D63;
    All these keywords.

    JEL classification:

    • D - Microeconomics

    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-02145100. 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.