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Infinite-horizon social evaluation with variable population size

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  • Kohei Kamaga

    () (Sophia University)

Abstract

We present an infinite-horizon extension of the framework of variable-population social choice. Our first main result is the welfarism theorem using the axiom of intratemporal anonymity. By this theorem, the ranking of social alternatives is determined by an intratemporally anonymous and finitely complete quasi-ordering [which we call social welfare relation (SWR)] defined on the set of all streams of utility vectors of generations. We introduce three SWRs: the critical-level generalized utilitarian (CLGU) SWR, the critical-level generalized overtaking (CLGO) SWR, and the critical-level generalized catching-up (CLGC) SWR. They are infinite-horizon extensions of the critical-level generalized utilitarianism. We characterize (in terms of subrelation) the CLGU SWR with five axioms: Strong Pareto, Finite Anonymity, Weak Existence of Critical Levels, Restricted Continuity, and Existence Independence. Further, the CLGO and the CLGC SWRs are characterized by adding consistency axioms. We also present infinite-horizon reformulations of some population ethics axioms. In particular, we characterize the CLGO and the CLGC SWRs associated with a positive critical level by using the axiom of avoidance of the repugnant conclusion.

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  • 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.
    • Handle: RePEc:spr:sochwe:v:47:y:2016:i:1:d:10.1007_s00355-016-0953-4
    DOI: 10.1007/s00355-016-0953-4
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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. Kohei Kamaga & Takashi Kojima, 2010. "On the leximin and utilitarian overtaking criteria with extended anonymity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 377-392, September.
    3. 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, December.
    4. Raouf Boucekkine & Giorgio Fabbri, 2013. "Assessing Parfit’s Repugnant Conclusion within a canonical endogenous growth set-up," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(2), pages 751-767, April.
    5. Carlson, Erik, 1998. "Mere Addition and Two Trilemmas of Population Ethics," Economics and Philosophy, Cambridge University Press, vol. 14(2), pages 283-306, October.
    6. Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May.
    7. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
    8. Asheim, Geir B. & Zuber, Stéphane, 2014. "Escaping the repugnant conclusion: rank-discounted utilitarianism with variable population," Theoretical Economics, Econometric Society, vol. 9(3), September.
    9. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1996. "Leximin population ethics," Mathematical Social Sciences, Elsevier, vol. 31(2), pages 115-131, April.
    10. 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.
    11. Raouf Boucekkine & Giorgio Fabbri & Fausto Gozzi, 2011. "Revisiting the Optimal Population Size Problem under Endogenous Growth: Minimal Utility Level and Finite Life," Asia-Pacific Journal of Accounting & Economics, Taylor & Francis Journals, vol. 18(3), pages 287-305.
    12. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1997. "Critical-Level Utilitarianism and the Population-Ethics Dilemma," Economics and Philosophy, Cambridge University Press, vol. 13(2), pages 197-230, October.
    13. Stéphane Zuber & Geir B. Asheim, 2010. "Justifying Social Discounting: The Rank-Discounted Utilitarian Approach," CESifo Working Paper Series 3192, CESifo.
    14. 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.
    15. Palivos, Theodore & Yip, Chong K., 1993. "Optimal population size and endogenous growth," Economics Letters, Elsevier, vol. 41(1), pages 107-110.
    16. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1995. "Intertemporal Population Ethics: Critical-Level Utilitarian Principles," Econometrica, Econometric Society, vol. 63(6), pages 1303-1320, November.
    17. 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.
    18. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1999. "Information Invariance in Variable-Population Social-Choice Problems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 403-422, May.
    19. Geir B. Asheim & Stéphane Zuber, 2012. "Escaping the Repugnant Conclusion: Rank-Discounted Utilitarianism with Variable Population," CESifo Working Paper Series 3958, CESifo.
    20. Asheim, Geir B., 1991. "Unjust intergenerational allocations," Journal of Economic Theory, Elsevier, vol. 54(2), pages 350-371, August.
    21. Asheim, Geir B. & Mitra, Tapan, 2010. "Sustainability and discounted utilitarianism in models of economic growth," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 148-169, March.
    22. 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.
    23. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2014. "Egalitarianism under population change: Age structure does matter," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 86-100.
    24. John BROOME, 1992. "The Value of Living," Discussion Papers (REL - Recherches Economiques de Louvain) 1992021, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    25. Hiroshi Atsumi, 1965. "Neoclassical Growth and the Efficient Program of Capital Accumulation," Review of Economic Studies, Oxford University Press, vol. 32(2), pages 127-136.
    26. Geir B. Asheim & Tapan Mitra, 2009. "Sustainability and Discounted Utilitarianism in Models of Economic Growth," CESifo Working Paper Series 2521, CESifo.
    27. Arrhenius, Gustaf, 2000. "An Impossibility Theorem for Welfarist Axiologies," Economics and Philosophy, Cambridge University Press, vol. 16(2), pages 247-266, October.
    28. 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.
    29. 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.
    30. 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.
    31. Razin, Assaf & Yuen, Chi-Wa, 1995. "Utilitarian Tradeoff between Population Growth and Income Growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 8(1), pages 81-87, February.
    32. Geir B. Asheim & Kuntal Banerjee, 2010. "Fixed‐step anonymous overtaking and catching‐up," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 149-165, March.
    33. Dubey, Ram Sewak, 2011. "Fleurbaey–Michel conjecture on equitable weak Paretian social welfare order," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 434-439.
    34. 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.
    35. Walter Bossert & David Donaldson & Charles Blackorby, 1998. "Uncertainty and critical-level population principles," Journal of Population Economics, Springer;European Society for Population Economics, vol. 11(1), pages 1-20.
    36. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
    37. Blackorby, Charles & Donaldson, David, 1984. "Social criteria for evaluating population change," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 13-33, November.
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    1. 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.

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