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Fuzzy sets from the ethics of social preferences

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  • Alcantud, José Carlos R.

Abstract

We show that the problem of evaluating infinite sequences (or streams) of utilities by a unique utility (or social welfare function) can be stated in terms of fuzzy subsets of the set of infinite utility sequences. For each stream, its evaluation can be viewed as its degree of membership to the subset of ‘ethically acceptable’ streams within the set of possible sequences. Since the property ‘being ethically acceptable’ is not well defined and cannot be exactly measured, the fuzzy approach seems especially adequate.

Suggested Citation

  • Alcantud, José Carlos R., 2013. "Fuzzy sets from the ethics of social preferences," MPRA Paper 53549, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:53549
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    References listed on IDEAS

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    1. Geir B. Asheim, 2010. "Intergenerational Equity," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 197-222, September.
    2. John Roemer & Kotaro Suzumura (ed.), 2007. "Intergenerational Equity and Sustainability," International Economic Association Series, Palgrave Macmillan, number 978-0-230-23676-9, December.
    3. 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.
    4. Asheim, Geir B. & d'Aspremont, Claude & Banerjee, Kuntal, 2010. "Generalized time-invariant overtaking," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 519-533, July.
    5. Sakai, Toyotaka, 2010. "A characterization and an impossibility of finite length anonymity for infinite generations," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 877-883, September.
    6. Tapan Mitra & Kaushik Basu, 2007. "On the Existence of Paretian Social Welfare Quasi-Orderings for Infinite Utility Streams with Extended Anonymity," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 6, pages 85-99, Palgrave Macmillan.
    7. Juan Crespo & Carmelo Nuñez & Juan Rincón-Zapatero, 2009. "On the impossibility of representing infinite utility streams," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 47-56, July.
    8. 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.
    9. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 221-230, July.
    10. Kamaga, Kohei & 釜賀, 浩平 & カマガ, コウヘイ & Kojima, Takashi & コジマ, タカシ, 2008. "Q-anonymous social welfare relations on infinite utility streams," PIE/CIS Discussion Paper 391, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    11. Banerjee, Kuntal, 2006. "On the equity-efficiency trade off in aggregating infinite utility streams," Economics Letters, Elsevier, vol. 93(1), pages 63-67, October.
    12. Kaushik Basu & Tapan Mitra, 2007. "Possibility Theorems for Equitably Aggregating Infinite Utility Streams," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 5, pages 69-84, Palgrave Macmillan.
    13. Alcantud, José C.R. & García-Sanz, María D., 2010. "Paretian evaluation of infinite utility streams: An egalitarian criterion," Economics Letters, Elsevier, vol. 106(3), pages 209-211, March.
    14. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
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    More about this item

    Keywords

    Fuzzy subset; Social welfare function; Ethical.;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • Y80 - Miscellaneous Categories - - Related Disciplines - - - Related Disciplines

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