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Utilitarianism for infinite utility streams: summable differences and finite averages

Author

Listed:
  • Jonsson, Adam

    (Department of Engineering Science and Mathematics)

  • Voorneveld, Mark

    (Dept. of Economics, Stockholm School of Economics)

Abstract

This paper provides axiomatic descriptions of social welfare relations, defined on infinite streams of utility, that are consistent with the utilitarian criterion on subsets where maximizing aggregate utility has a clear interpretation: the streams, or their differences, are summable. Besides standard assumptions on efficiency, equity and interpersonal comparability, two axioms are introduced and shown to be necessary and sufficient. A more general version of one axiom suffices to distinguish streams with different long-run averages.

Suggested Citation

  • Jonsson, Adam & Voorneveld, Mark, 2014. "Utilitarianism for infinite utility streams: summable differences and finite averages," SSE/EFI Working Paper Series in Economics and Finance 747, Stockholm School of Economics, revised 15 Apr 2014.
  • Handle: RePEc:hhs:hastef:0747
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    References listed on IDEAS

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    1. Brock, William A, 1970. "An Axiomatic Basis for the Ramsey- Weizsacker Overtaking Criterion," Econometrica, Econometric Society, vol. 38(6), pages 927-929, November.
    2. Kaushik Basu & Tapan Mitra, 2003. "Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian," Econometrica, Econometric Society, vol. 71(5), pages 1557-1563, September.
    3. 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.
    4. , R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
    5. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society, vol. 13(1), January.
    6. Basu, Kaushik & Mitra, Tapan, 2007. "Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 350-373, March.
    7. Eric Maskin, 1978. "A Theorem on Utilitarianism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 93-96.
    8. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
    9. Peter Fishburn & Ward Edwards, 1997. "Discount-neutral utility models for denumerable time streams," Theory and Decision, Springer, vol. 43(2), pages 139-166, September.
    10. Luc Lauwers, 1997. "Continuity and equity with infinite horizons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(2), pages 345-356.
    11. David Gale, 1967. "On Optimal Development in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(1), pages 1-18.
    12. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," Review of Economic Studies, Oxford University Press, vol. 44(2), pages 199-209.
    13. Kuntal Banerjee, 2006. "On the Extension of the Utilitarian and Suppes–Sen Social Welfare Relations to Infinite Utility Streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 327-339, October.
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    Cited by:

    1. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society, vol. 13(1), January.

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    More about this item

    Keywords

    Intergenerational equity; aggregating infinite utility streams; ethical social welfare relations;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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