IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2603.09280.html

Intergenerational geometric transfers of income

Author

Listed:
  • Encarnaci'on Algaba
  • Juan D. Moreno-Ternero
  • Eric R'emila
  • Philippe Solal

Abstract

We study intergenerational transfers of income. In our stylized model, each generation in an infinite (but countable) stream is endowed with some income. An allocation rule associates with each infinite stream another stream, thus involving intergenerational transfers of income. We single out a family of geometric rules as a consequence of imposing axioms formalizing the principles of consistency, continuity and independence (as well as the basic requirements of feasibility and scale invariance).

Suggested Citation

  • Encarnaci'on Algaba & Juan D. Moreno-Ternero & Eric R'emila & Philippe Solal, 2026. "Intergenerational geometric transfers of income," Papers 2603.09280, arXiv.org.
    • Handle: RePEc:arx:papers:2603.09280
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2603.09280
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tangren Feng & Shaowei Ke, 2018. "Social Discounting and Intergenerational Pareto," Econometrica, Econometric Society, vol. 86(5), pages 1537-1567, September.
    2. Geir B. Asheim, 2010. "Intergenerational Equity," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 197-222, September.
    3. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2022. "Optimal Management of Evolving Hierarchies," Management Science, INFORMS, vol. 68(8), pages 6024-6038, August.
    4. Pivato, Marcus & Fleurbaey, Marc, 2024. "Intergenerational equity and infinite-population ethics: A survey," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    5. Piacquadio, Paolo G., 2014. "Intergenerational egalitarianism," Journal of Economic Theory, Elsevier, vol. 153(C), pages 117-127.
    6. Christopher P. Chambers & Federico Echenique, 2018. "On Multiple Discount Rates," Econometrica, Econometric Society, vol. 86(4), pages 1325-1346, July.
    7. Billot, Antoine & Qu, Xiangyu, 2025. "Stationary altruism and time consistency," Journal of Economic Theory, Elsevier, vol. 228(C).
    8. John E. Roemer, 1986. "Equality of Resources Implies Equality of Welfare," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 751-784.
    9. Lauwers, Luc, 2010. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 32-37, January.
    10. van den Brink, Rene & Gilles, Robert P., 1996. "Axiomatizations of the Conjunctive Permission Value for Games with Permission Structures," Games and Economic Behavior, Elsevier, vol. 12(1), pages 113-126, January.
    11. Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, December.
    12. Asheim, Geir B., 1991. "Unjust intergenerational allocations," Journal of Economic Theory, Elsevier, vol. 54(2), pages 350-371, August.
    13. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    14. Gudmundsson, Jens & Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2025. "Optimizing successive incentives: Rewarding the past or motivating the future?," Games and Economic Behavior, Elsevier, vol. 153(C), pages 10-29.
    15. 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.
    16. Moreno-Ternero, Juan D. & Roemer, John E., 2008. "The Veil Of Ignorance Violates Priority," Economics and Philosophy, Cambridge University Press, vol. 24(2), pages 233-257, July.
    17. Chambers, Christopher P. & Moreno-Ternero, Juan D., 2021. "Bilateral redistribution," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    18. Ricardo Martinez & Juan D. Moreno-Ternero, 2026. "The geometric adjudication of water rights in international rivers," Papers 2601.04150, arXiv.org.
    19. William Thomson, 2023. "Complements to the Axiomatic Method in Economic Design," Studies in Choice and Welfare, in: The Axiomatics of Economic Design, Vol. 1, chapter 0, pages 269-285, Springer.
    20. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
    21. Epstein, Larry G., 1986. "Intergenerational consumption rules: An axiomatization of utilitarianism and egalitarianism," Journal of Economic Theory, Elsevier, vol. 38(2), pages 280-297, April.
    22. 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.
    23. Thomson, William, 2012. "On The Axiomatics Of Resource Allocation: Interpreting The Consistency Principle," Economics and Philosophy, Cambridge University Press, vol. 28(3), pages 385-421, November.
    24. Geir Asheim & Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2010. "Infinite-horizon choice functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 1-21, April.
    25. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    26. Aleksei Y. Kondratev & Egor Ianovski & Alexander S. Nesterov, 2024. "How Should We Score Athletes and Candidates: Geometric Scoring Rules," Operations Research, INFORMS, vol. 72(6), pages 2507-2525, November.
    27. Casajus, André, 2015. "Monotonic redistribution of performance-based allocations: a case for proportional taxation," Theoretical Economics, Econometric Society, vol. 10(3), September.
    28. Brown, Donald J & Lewis, Lucinda M, 1981. "Myopic Economic Agents," Econometrica, Econometric Society, vol. 49(2), pages 359-368, March.
    29. Christopher P. Chambers & Federico Echenique & Alan D. Miller, 2023. "Decreasing Impatience," American Economic Journal: Microeconomics, American Economic Association, vol. 15(3), pages 527-551, August.
    30. Ju, Biung-Ghi, 2013. "Coalitional manipulation on networks," Journal of Economic Theory, Elsevier, vol. 148(2), pages 627-662.
    31. Ricardo Martínez & Juan D. Moreno-Ternero, 2025. "The Allocation of Riparian Water Rights," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 88(12), pages 3841-3872, December.
    32. William Thomson, 2023. "The Axiomatics of Economic Design, Vol. 1," Studies in Choice and Welfare, Springer, number 978-3-031-29398-6, December.
    33. 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.
    Full references (including those not matched with items on IDEAS)

    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. Alcalde-Unzu, Jorge & Gallo, Oihane & Inarra, Elena & Moreno-Ternero, Juan D., 2024. "Solidarity to achieve stability," European Journal of Operational Research, Elsevier, vol. 315(1), pages 368-377.
    2. Pivato, Marcus & Fleurbaey, Marc, 2024. "Intergenerational equity and infinite-population ethics: A survey," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    3. Ricardo Martínez & Juan D. Moreno‐Ternero, 2024. "Redistribution with needs," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(1), February.
    4. Ricardo Martinez & Juan D. Moreno-Ternero, 2025. "Proportional redistribution," Papers 2511.23374, arXiv.org.
    5. Ricardo Martinez & Juan D. Moreno-Ternero, 2026. "On the fair abatement of riparian pollution," Papers 2603.04345, arXiv.org.
    6. Zuber, Stéphane & Asheim, Geir B., 2012. "Justifying social discounting: The rank-discounted utilitarian approach," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1572-1601.
    7. Ram Sewak Dubey & Francesco Ruscitti, 2024. "Fair Allocations in an Overlapping Generations Economy," Studies in Microeconomics, , vol. 12(2), pages 172-199, August.
    8. Kohei Kamaga, 2016. "Infinite-horizon social evaluation with variable population size," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(1), pages 207-232, June.
    9. Marcus Pivato, 2023. "Cesàro average utilitarianism in relativistic spacetime," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(4), pages 733-761, November.
    10. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Laissez-faire or full redistribution?," Economics Letters, Elsevier, vol. 218(C).
    11. Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2018. "Sharing sequential values in a network," Journal of Economic Theory, Elsevier, vol. 177(C), pages 734-779.
    12. 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.
    13. Piacquadio, Paolo G., 2020. "The ethics of intergenerational risk," Journal of Economic Theory, Elsevier, vol. 186(C).
    14. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
    15. Zou, Zhengxing & Tan, Zhibin, 2023. "Axiomatizations of convex compromise rules for redistribution of non-negative income," Economics Letters, Elsevier, vol. 229(C).
    16. Jens Hougaard & Juan Moreno-Ternero & Lars Østerdal, 2013. "Rationing with baselines: the composition extension operator," Annals of Operations Research, Springer, vol. 211(1), pages 179-191, December.
    17. Mariotti, Marco & Veneziani, Roberto, 2012. "Allocating chances of success in finite and infinite societies: The utilitarian criterion," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 226-236.
    18. Dong-Xuan, Bach & Qu, Xiangyu, 2025. "Restricted dominant unanimity and social discounting," Journal of Mathematical Economics, Elsevier, vol. 117(C).
    19. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    20. 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.

    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:arx:papers:2603.09280. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.