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Utility and income transfer principles: Interplay and incompatibility

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  • Marc Dubois

    () (Institut Langevin ondes et images - CNRS - Centre National de la Recherche Scientifique - ESPCI Paris - Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris - PSL - Université Paris sciences et lettres - UPD7 - Université Paris Diderot - Paris 7 - UPMC - Université Pierre et Marie Curie - Paris 6)

  • Stéphane Mussard

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

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.archives-ouvertes.fr/hal-02145100
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    References listed on IDEAS

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    1. Gayant, Jean-Pascal & Le Pape, Nicolas, 2017. "Increasing Nth degree inequality," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 185-189.
    2. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    3. 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.
    4. 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.
    5. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 82(3), pages 465-473.
    6. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    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. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    9. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    10. 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.
    11. 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.
    12. Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
    13. Fishburn, Peter C. & Willig, Robert D., 1984. "Transfer principles in income redistribution," Journal of Public Economics, Elsevier, vol. 25(3), pages 323-328, December.
    14. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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    More about this item

    Keywords

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

    JEL classification:

    • D - Microeconomics

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