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A new result on the impossibility of avoiding both the repugnant and sadistic conclusions

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  • Cato, Susumu
  • Harada, Ko

Abstract

This paper establishes a new impossibility result for welfaristic evaluations when the population varies. We consider a weak version of the repugnant conclusion instead of the commonly used version. It is shown that if a population principle satisfying two reasonable properties avoids the sadistic conclusion, then the weak repugnant conclusion must hold. We use a general variable-population setting where the identities of individuals can matter.

Suggested Citation

  • Cato, Susumu & Harada, Ko, 2023. "A new result on the impossibility of avoiding both the repugnant and sadistic conclusions," Economics Letters, Elsevier, vol. 232(C).
    • Handle: RePEc:eee:ecolet:v:232:y:2023:i:c:s0165176523003312
    DOI: 10.1016/j.econlet.2023.111306
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    References listed on IDEAS

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    1. Marcus Pivato, 2020. "Rank-additive population ethics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 861-918, June.
    2. Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005. "Population Issues in Social Choice Theory, Welfare Economics, and Ethics," Cambridge Books, Cambridge University Press, number 9780521532587, Enero-Abr.
    3. Zuber, Stéphane & Venkatesh, Nikhil & Tännsjö, Torbjörn & Tarsney, Christian & Stefánsson, H. Orri & Steele, Katie & Spears, Dean & Sebo, Jeff & Pivato, Marcus & Ord, Toby & Ng, Yew-Kwang & Masny, Mic, 2021. "What Should We Agree on about the Repugnant Conclusion?," Utilitas, Cambridge University Press, vol. 33(4), pages 379-383, December.
    4. Cato, Susumu, 2023. "When is weak Pareto equivalent to strong Pareto?," Economics Letters, Elsevier, vol. 222(C).
    5. Arrhenius, Gustaf, 2000. "An Impossibility Theorem for Welfarist Axiologies," Economics and Philosophy, Cambridge University Press, vol. 16(2), pages 247-266, October.
    6. repec:hal:pseose:hal-01048579 is not listed on IDEAS
    7. , B. & ,, 2014. "Escaping the repugnant conclusion: rank-discounted utilitarianism with variable population," Theoretical Economics, Econometric Society, vol. 9(3), September.
    8. Dean Spears & Mark Budolfson, 2021. "Repugnant conclusions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(3), pages 567-588, October.
    9. Dean Spears & Mark Budolfson, 2021. "Correction to: Repugnant conclusions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(3), pages 589-589, October.
    10. Franz, Nathan & Spears, Dean, 2020. "Mere Addition is equivalent to avoiding the Sadistic Conclusion in all plausible variable-population social orderings," Economics Letters, Elsevier, vol. 196(C).
    11. Charles Blackorby & Walter Bossert & David Donaldson & Marc Fleurbaey, 1998. "Critical levels and the (reverse) repugnant conclusion," Journal of Economics, Springer, vol. 67(1), pages 1-15, February.
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