IDEAS home Printed from https://ideas.repec.org/a/bla/jpbect/v26y2024i1ne12683.html

Redistribution with needs

Author

Listed:
  • Ricardo Martínez
  • Juan D. Moreno‐Ternero

Abstract

We take an axiomatic approach to study redistribution problems when agents report income and needs. We formalize axioms reflecting ethical and operational principles such as additivity, impartiality and individual rationality. Different combinations of those axioms characterize three focal rules (laissez faire, full redistribution, and need‐adjusted full redistribution) as well as compromises among them. We also uncover the structure of those compromises exploring the Lorenz dominance criterion as well as majority voting. Our analysis provides an axiomatic justification for a linear income tax system. We conclude our analysis resorting to Eurostat's Household Budget Survey from where we illustrate the different redistribution patterns accounting for needs across European countries.

Suggested Citation

  • Ricardo Martínez & Juan D. Moreno‐Ternero, 2024. "Redistribution with needs," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(1), February.
  • Handle: RePEc:bla:jpbect:v:26:y:2024:i:1:n:e12683
    DOI: 10.1111/jpet.12683
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/jpet.12683
    Download Restriction: no

    File URL: https://libkey.io/10.1111/jpet.12683?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. Biung-Ghi Ju & Juan Moreno-Ternero, 2011. "Progressive and merging-proof taxation," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 43-62, February.
    2. Chun, Youngsub, 1988. "The proportional solution for rights problems," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 231-246, June.
    3. repec:bla:scandj:v:79:y:1977:i:4:p:417-23 is not listed on IDEAS
    4. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Decentralized revenue sharing from broadcasting sports," Public Choice, Springer, vol. 194(1), pages 27-44, January.
    5. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2013. "A new axiomatic approach to the evaluation of population health," Journal of Health Economics, Elsevier, vol. 32(3), pages 515-523.
    6. Roberts, Kevin W. S., 1977. "Voting over income tax schedules," Journal of Public Economics, Elsevier, vol. 8(3), pages 329-340, December.
    7. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2023. "Taxation behind the veil of ignorance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 165-181, January.
    8. Geoffroy de Clippel & Kareen Rozen, 2022. "Fairness through the Lens of Cooperative Game Theory: An Experimental Approach," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 810-836, August.
    9. Juan D Moreno-Ternero & John E Roemer, 2006. "Impartiality, Priority, and Solidarity in the Theory of Justice," Econometrica, Econometric Society, vol. 74(5), pages 1419-1427, September.
    10. Ihori, Toshihiro, 1987. "The optimal linear income tax : A diagrammatic analysis," Journal of Public Economics, Elsevier, vol. 34(3), pages 379-390, December.
    11. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 107-114.
    12. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    13. Christopher P. Chambers & Juan D. Moreno-Ternero, 2017. "Taxation and poverty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 153-175, January.
    14. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
    15. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
    16. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    17. Mathieu Faure & Nicolas Gravel, 2021. "Reducing Inequalities Among Unequals," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(1), pages 357-404, February.
    18. Juan D. Moreno-Ternero & Lars Peter Østerdal, 2017. "A normative foundation for equity-sensitive health evaluation: The role of relative comparisons of health gains," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(5), pages 1009-1025, October.
    19. Casajus, André, 2015. "Monotonic redistribution of non-negative allocations: A case for proportional taxation revisited," Economics Letters, Elsevier, vol. 136(C), pages 95-98.
    20. Almås, Ingvild & Cappelen, Alexander W. & Lind, Jo Thori & Sørensen, Erik Ø. & Tungodden, Bertil, 2011. "Measuring unfair (in)equality," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 488-499, August.
    21. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Tvede, Mich & Østerdal, Lars Peter, 2017. "Sharing the proceeds from a hierarchical venture," Games and Economic Behavior, Elsevier, vol. 102(C), pages 98-110.
    22. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    23. Hamada, Koichi, 1973. "A simple majority rule on the distribution of income," Journal of Economic Theory, Elsevier, vol. 6(3), pages 243-264, June.
    24. Stephen M. Calabrese, 2007. "Majority Voting over Publicly Provided Goods, Redistribution, and Income Taxation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 319-334, April.
    25. Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 1-26, January.
    26. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    27. Chambers, Christopher P. & Moreno-Ternero, Juan D., 2021. "Bilateral redistribution," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    28. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Laissez-faire or full redistribution?," Economics Letters, Elsevier, vol. 218(C).
    29. Moreno-Ternero, Juan D. & Platz, Trine Tornøe & Østerdal, Lars Peter, 2023. "QALYs, DALYs, and HALYs: A unifying framework for the evaluation of population health," Journal of Health Economics, Elsevier, vol. 87(C).
    30. Corchon, Luis C. & Puy, M. Socorro, 1998. "Individual rationality and voting in cooperative production," Economics Letters, Elsevier, vol. 59(1), pages 83-90, April.
    31. Young, H Peyton, 1990. "Progressive Taxation and Equal Sacrifice," American Economic Review, American Economic Association, vol. 80(1), pages 253-266, March.
    32. Anthony B. Atkinson & François Bourguignon, 1987. "Income Distribution and Differences in Needs," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Arrow and the Foundations of the Theory of Economic Policy, chapter 12, pages 350-370, Palgrave Macmillan.
    33. Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2023. "Order preservation with dummies in the musseum pass problem," Papers 2307.00622, arXiv.org.
    34. Hemming, R. & Keen, M. J., 1983. "Single-crossing conditions in comparisons of tax progressivity," Journal of Public Economics, Elsevier, vol. 20(3), pages 373-380, April.
    35. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
    36. Casajus, André, 2015. "Monotonic redistribution of performance-based allocations: a case for proportional taxation," Theoretical Economics, Econometric Society, vol. 10(3), September.
    37. Bergantinos, Gustavo & Vidal-Puga, Juan J., 2004. "Additive rules in bankruptcy problems and other related problems," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 87-101, January.
    38. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2020. "Sharing the Revenues from Broadcasting Sport Events," Management Science, INFORMS, vol. 66(6), pages 2417-2431, June.
    39. Sen, Amartya, 1999. "Commodities and Capabilities," OUP Catalogue, Oxford University Press, number 9780195650389.
    40. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Compromising to share the revenues from broadcasting sports leagues," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 57-74.
    41. Romer, Thomas, 1975. "Individual welfare, majority voting, and the properties of a linear income tax," Journal of Public Economics, Elsevier, vol. 4(2), pages 163-185, February.
    42. William Thomson, 2023. "The Axiomatics of Economic Design, Vol. 1," Studies in Choice and Welfare, Springer, number 978-3-031-29398-6, March.
    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. Sakai, Toyotaka, 2025. "The probability smoothing problem: Characterizations of the Laplace method," Mathematical Social Sciences, Elsevier, vol. 135(C).

    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. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Laissez-faire or full redistribution?," Economics Letters, Elsevier, vol. 218(C).
    2. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Decentralized revenue sharing from broadcasting sports," Public Choice, Springer, vol. 194(1), pages 27-44, January.
    3. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    4. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    5. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Broadcasting revenue sharing after cancelling sports competitions," Annals of Operations Research, Springer, vol. 328(2), pages 1213-1238, September.
    6. Chambers, Christopher P. & Moreno-Ternero, Juan D., 2021. "Bilateral redistribution," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    7. Alcalde-Unzu, Jorge & Moreno-Ternero, Juan D. & Weber, Shlomo, 2022. "The measurement of the value of a language," Journal of Economic Theory, Elsevier, vol. 203(C).
    8. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2025. "Revenue Sharing at Music Streaming Platforms," Management Science, INFORMS, vol. 71(10), pages 8319-8335, October.
    9. Juan D. Moreno-Ternero & Tim Pawlowski & Shlomo Weber, 2024. "Domestic Competitive Balance and International Success: The Case of The Football Industry," Papers 2402.08396, arXiv.org.
    10. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Compromising to share the revenues from broadcasting sports leagues," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 57-74.
    11. Alex Krumer & Juan D. Moreno-Ternero, 2023. "The Allocation of Additional Slots for the FIFA World Cup," Journal of Sports Economics, , vol. 24(7), pages 831-850, October.
    12. Carbonell-Nicolau, Oriol, 2024. "Inequality and bipolarization-reducing mixed taxation," Mathematical Social Sciences, Elsevier, vol. 132(C), pages 128-145.
    13. Bas Dietzenbacher & Yuki Tamura & William Thomson, 2024. "Partial-implementation invariance and claims problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(1), pages 203-229, August.
    14. Satya R. Chakravarty & Palash Sarkar, 2022. "Inequality minimising subsidy and taxation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 53-67, May.
    15. Patrick Harless, 2017. "Endowment additivity and the weighted proportional rules for adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 755-781, March.
    16. Moreno-Ternero, Juan D. & Platz, Trine Tornøe & Østerdal, Lars Peter, 2023. "QALYs, DALYs, and HALYs: A unifying framework for the evaluation of population health," Journal of Health Economics, Elsevier, vol. 87(C).
    17. Emilio Calvo, 2021. "Redistribution of tax resources: a cooperative game theory approach," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(4), pages 633-686, December.
    18. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2020. "Broadcasting La Liga," MPRA Paper 104750, University Library of Munich, Germany.
    19. Ju, Biung-Ghi & Kim, Min & Kim, Suyi & Moreno-Ternero, Juan D., 2021. "Fair international protocols for the abatement of GHG emissions," Energy Economics, Elsevier, vol. 94(C).
    20. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.

    More about this item

    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:bla:jpbect:v:26:y:2024:i:1:n:e12683. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/apettea.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.