IDEAS home Printed from https://ideas.repec.org/p/ecl/riceco/2000-06.html
   My bibliography  Save this paper

Population Principles with Number-Dependent Critical Levels

Author

Listed:
  • Blackorby, Charles

    (U of British Columbia and GREQAM)

  • Bossert, Walter

    (U of Nottingham and Rice U)

  • Donaldson, David

    (U of British Columbia)

Abstract

This paper introduces and characterizes the number-sensitive critical-level generalized utilitarian family of population principles which is a generalization of the critical-level generalized-utilitarian family. Number-sensitive critical-level utilitarian principles rank alternatives by using a value function that is equal to total utility minus a sum of critical levels that may depend on population size but not on individual utilities, and number-sensitive critical-level generalized-utilitarian principles use transformed utilities and critical levels. Ethical properties of the principles are investigated and the new family is compared to number-dampened generalized utilitarianism whose value functions are equal to transformed representative utility (average utility in the utilitarian case) multiplied by a function of population size.

Suggested Citation

  • Blackorby, Charles & Bossert, Walter & Donaldson, David, 2000. "Population Principles with Number-Dependent Critical Levels," Working Papers 2000-06, Rice University, Department of Economics.
    • Handle: RePEc:ecl:riceco:2000-06
    as

    Download full text from publisher

    File URL: http://www.ruf.rice.edu/~econ/papers/2000papers/06Bossert.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Charles Blackorby & Walter Bossert & David Donaldson, 1997. "Intertemporally Consistent Population Ethics: Birth-date Dependent Classical Principles," The Japanese Economic Review, Japanese Economic Association, vol. 48(3), pages 267-292, September.
    2. Carlson, Erik, 1998. "Mere Addition and Two Trilemmas of Population Ethics," Economics and Philosophy, Cambridge University Press, vol. 14(2), pages 283-306, October.
    3. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1997. "Birth-Date Dependent Population Ethics: Critical-Level Principles," Journal of Economic Theory, Elsevier, vol. 77(2), pages 260-284, December.
    4. Marcus Fleming, 1952. "A Cardinal Concept of Welfare," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(3), pages 366-384.
    5. 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.
    6. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1995. "Intertemporal Population Ethics: Critical-Level Utilitarian Principles," Econometrica, Econometric Society, vol. 63(6), pages 1303-1320, November.
    7. 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.
    8. Ng, Yew-Kwang, 1989. "What Should We Do About Future Generations?," Economics and Philosophy, Cambridge University Press, vol. 5(2), pages 235-253, October.
    9. Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation for Research in Economics, Yale University.
    10. Ng, Yew-Kwang, 1986. "Social criteria for evaluating population change: An alternative to the Blackorby-Donaldson criterion," Journal of Public Economics, Elsevier, vol. 29(3), pages 375-381, April.
    11. Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-1572, October.
    12. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2002. "Utilitarianism and the theory of justice," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 11, pages 543-596, Elsevier.
    13. 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.
    14. Sen, Amartya, 1974. "Informational bases of alternative welfare approaches : Aggregation and income distribution," Journal of Public Economics, Elsevier, vol. 3(4), pages 387-403, November.
    15. Blackorby, Charles & Donaldson, David, 1984. "Social criteria for evaluating population change," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 13-33, November.
    16. Charles Blackorby & Walter Bossert & David Donaldson, 1996. "Quasi-orderings and population ethics," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 129-150, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. de la Croix, David & Doepke, Matthias, 2021. "A soul’s view of the optimal population problem," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 98-108.
    2. Charles BLACKORBY & Walter BOSSERT & David DONALDSON, 2002. "Critical-Level Population Principles And The Repugnant Conclusion," Cahiers de recherche 15-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    3. , B. & ,, 2014. "Escaping the repugnant conclusion: rank-discounted utilitarianism with variable population," Theoretical Economics, Econometric Society, vol. 9(3), September.
    4. Charles Blackorby & Walter Bossert & David Donaldson, 2003. "The Axiomatic Approach to Population Ethics," Politics, Philosophy & Economics, , vol. 2(3), pages 342-381, October.
    5. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 2006-15, Universite de Montreal, Departement de sciences economiques.
      • BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 14-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.

    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. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2002. "Critical-Level Population Principles and the Repugnant Conclusion," Cahiers de recherche 2002-15, Universite de Montreal, Departement de sciences economiques.
    2. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2003. "Population Ethics and the Value of Life," Cahiers de recherche 05-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    3. Charles Blackorby & Walter Bossert & David Donaldson, 2003. "The Axiomatic Approach to Population Ethics," Politics, Philosophy & Economics, , vol. 2(3), pages 342-381, October.
    4. Claudio Zoli, 2009. "Variable population welfare and poverty orderings satisfying replication properties," Working Papers 69/2009, University of Verona, Department of Economics.
    5. 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.
    6. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 2006-15, Universite de Montreal, Departement de sciences economiques.
      • BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 14-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    7. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1999. "Foreign aid and population policy: some ethical considerations," Journal of Development Economics, Elsevier, vol. 59(2), pages 203-232, August.
    8. Ritxar Arlegi & Miguel Angel Ballester & María del Carmen Marco & Jorge Nieto, 2000. "Variable population egalitarian ethics and the critical-level: A note," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0013, Departamento de Economía - Universidad Pública de Navarra.
    9. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1999. "Price-Independent Welfare Prescriptions and Population Size," Journal of Economic Theory, Elsevier, vol. 84(1), pages 111-119, January.
    10. Wagener, Andreas, 2000. "Variable population size issues in models of decentralized income redistribution," Regional Science and Urban Economics, Elsevier, vol. 30(6), pages 609-625, December.
    11. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1997. "Birth-Date Dependent Population Ethics: Critical-Level Principles," Journal of Economic Theory, Elsevier, vol. 77(2), pages 260-284, December.
    12. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1996. "Leximin population ethics," Mathematical Social Sciences, Elsevier, vol. 31(2), pages 115-131, April.
    13. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2000. "The Value of Limited Altruism," Journal of Economic Theory, Elsevier, vol. 95(1), pages 37-70, November.
    14. Karin Enflo, 2021. "Quantity, quality, equality: introducing a new measure of social welfare," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(3), pages 665-701, October.
    15. , B. & ,, 2014. "Escaping the repugnant conclusion: rank-discounted utilitarianism with variable population," Theoretical Economics, Econometric Society, vol. 9(3), September.
    16. Blackorby, Charles & Bossert, Walter, 2004. "Interpersonal comparisons of well-being," Economic Research Papers 269605, University of Warwick - Department of Economics.
    17. Dean Spears & Stéphane Zuber, 2023. "Foundations of utilitarianism under risk and variable population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(1), pages 101-129, July.
    18. 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.
    19. 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.
    20. Dasgupta, P., 2016. "Birth and Death," Cambridge Working Papers in Economics 1660, Faculty of Economics, University of Cambridge.

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    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:ecl:riceco:2000-06. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/dericus.html .

    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.