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Redistribution with Needs

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  • Ricardo Martinez
  • 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 Martinez & Juan D. Moreno-Ternero, 2024. "Redistribution with Needs," Papers 2402.02802, arXiv.org.
  • Handle: RePEc:arx:papers:2402.02802
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    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. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Decentralized revenue sharing from broadcasting sports," Public Choice, Springer, vol. 194(1), pages 27-44, January.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    9. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
    10. 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.
    11. Geoffroy de Clippel & Kareen Rozen, 2020. "Fairness through the Lens of Cooperative Game Theory: An Experimental Approach," Working Papers 2020-09, Brown University, Department of Economics.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    17. Hamada, Koichi, 1973. "A simple majority rule on the distribution of income," Journal of Economic Theory, Elsevier, vol. 6(3), pages 243-264, June.
    18. 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.
    19. Chambers, Christopher P. & Moreno-Ternero, Juan D., 2021. "Bilateral redistribution," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    20. 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).
    21. Corchon, Luis C. & Puy, M. Socorro, 1998. "Individual rationality and voting in cooperative production," Economics Letters, Elsevier, vol. 59(1), pages 83-90, April.
    22. Young, H Peyton, 1990. "Progressive Taxation and Equal Sacrifice," American Economic Review, American Economic Association, vol. 80(1), pages 253-266, March.
    23. Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2023. "Order preservation with dummies in the musseum pass problem," Papers 2307.00622, arXiv.org.
    24. 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.
    25. 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.
    26. Casajus, André, 2015. "Monotonic redistribution of performance-based allocations: a case for proportional taxation," Theoretical Economics, Econometric Society, vol. 10(3), September.
    27. 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.
    28. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2020. "Sharing the Revenues from Broadcasting Sport Events," Management Science, INFORMS, vol. 66(6), pages 2417-2431, June.
    29. 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.
    30. 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.
    31. Dixit, Avinash K & Sandmo, Angar, 1977. " Some Simplified Formulae for Optimal Income Taxation," Scandinavian Journal of Economics, Wiley Blackwell, vol. 79(4), pages 417-423.
    32. Roberts, Kevin W. S., 1977. "Voting over income tax schedules," Journal of Public Economics, Elsevier, vol. 8(3), pages 329-340, December.
    33. Ihori, Toshihiro, 1987. "The optimal linear income tax : A diagrammatic analysis," Journal of Public Economics, Elsevier, vol. 34(3), pages 379-390, December.
    34. 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.
    35. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
    36. Casajus, André, 2015. "Monotonic redistribution of non-negative allocations: A case for proportional taxation revisited," Economics Letters, Elsevier, vol. 136(C), pages 95-98.
    37. 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.
    38. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Laissez-faire or full redistribution?," Economics Letters, Elsevier, vol. 218(C).
    39. 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.
    40. Sen, Amartya, 1999. "Commodities and Capabilities," OUP Catalogue, Oxford University Press, number 9780195650389.
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