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Bentham or Nash? On the Acceptable Form of Social Welfare Functions

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  • YEW‐KWANG NG

Abstract

The acceptability of the Nash Social Welfare Function is questioned because a minute (perhaps hardy perceivable) welfare change of someone with a very low welfare level might overwhelm enormous welfare changes of others. The axiomatic derivation of the Nash SWF by Kaneko and Nakamura is analyzed. Arguments for and against social welfare as separable in, linear in, and an unweighted sum of individual welfares are critically discussed. Separability follows from the individualistic ethics (Fleming, Sugden and Weale). Linearity follows from the ‘logic’ of rational choice in the face of risk (Harsanyi). (Diamond's counter‐example is rejected.) Unweighted sum follows from either (i) informational restriction precluding interpersonal comparison of welfare levels (D'Aspremont and Gevers, Maskin); or (ii) with finite sensibility, equation of just‐perceivable increments of welfare across persons (Edgeworth) or the Weak Majority Preference Criterion (Ng).

Suggested Citation

  • Yew‐Kwang Ng, 1981. "Bentham or Nash? On the Acceptable Form of Social Welfare Functions," The Economic Record, The Economic Society of Australia, vol. 57(3), pages 238-250, September.
    • Handle: RePEc:bla:ecorec:v:57:y:1981:i:3:p:238-250
    DOI: 10.1111/j.1475-4932.1981.tb01058.x
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    References listed on IDEAS

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    1. Kevin W. S. Roberts, 1980. "Interpersonal Comparability and Social Choice Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 421-439.
    2. Kalai, Ehud & Schmeidler, David, 1977. "Aggregation Procedure for Cardinal Preferences: A Formulation and Proof of Samuelson's Impossibility Conjecture," Econometrica, Econometric Society, vol. 45(6), pages 1431-1438, September.
    3. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75(5), pages 765-765.
    4. Kevin W. S. Roberts, 1980. "Social Choice Theory: The Single-profile and Multi-profile Approaches," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 441-450.
    5. Buchanan, James M, 1978. "Markets, States, and the Extent of Morals," American Economic Review, American Economic Association, vol. 68(2), pages 364-368, May.
    6. 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.
    7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    8. Brennan,Geoffrey & Buchanan,James M., 2006. "The Power to Tax," Cambridge Books, Cambridge University Press, number 9780521027922, October.
    9. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 199-209.
    10. John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61(5), pages 434-434.
    11. Yew-Kwang Ng, 1975. "Bentham or Bergson? Finite Sensibility, Utility Functions and Social Welfare Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(4), pages 545-569.
    12. repec:bla:econom:v:46:y:1979:i:182:p:137-47 is not listed on IDEAS
    13. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    14. Robert A. Pollak, 1979. "Bergson-Samuelson Social Welfare Functions and the Theory of Social Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(1), pages 73-90.
    15. Sen, Amartya K, 1979. "Personal Utilities and Public Judgements: Or What's Wrong with Welfare Economics?," Economic Journal, Royal Economic Society, vol. 89(355), pages 537-558, September.
    16. Ng, Yew-Kwang, 1980. "Toward eudaimonology: notes on a quantitative framework for the study of happiness," Mathematical Social Sciences, Elsevier, vol. 1(1), pages 51-68, September.
    17. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    18. Osborne, Dale K, 1976. "Irrelevant Alternatives and Social Welfare," Econometrica, Econometric Society, vol. 44(5), pages 1001-1015, September.
    19. Robert P. Parks, 1976. "An Impossibility Theorem for Fixed Preferences: A Dictatorial Bergson-Samuelson Welfare Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(3), pages 447-450.
    20. Albert Breton, 1974. "The economic theory of representative government: A reply," Public Choice, Springer, vol. 20(1), pages 129-133, December.
    21. Ray C. Fair, 1971. "The Optimal Distribution of Income," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 85(4), pages 551-579.
    22. repec:bla:econom:v:46:y:1979:i:182:p:111-23 is not listed on IDEAS
    23. Fiorina, Morris P. & Noll, Roger G., 1978. "Voters, bureaucrats and legislators : A rational choice perspective on the growth of bureaucracy," Journal of Public Economics, Elsevier, vol. 9(2), pages 239-254, April.
    24. Kaneko, Mamoru & Nakamura, Kenjiro, 1979. "The Nash Social Welfare Function," Econometrica, Econometric Society, vol. 47(2), pages 423-435, March.
    25. Kevin W. S. Roberts, 1980. "Possibility Theorems with Interpersonally Comparable Welfare Levels," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 409-420.
    26. Edgeworth, Francis Ysidro, 1881. "Mathematical Psychics," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number edgeworth1881.
    27. Eric Maskin, 1978. "A Theorem on Utilitarianism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 93-96.
    28. Sen, Amartya K, 1973. "On Ignorance and Equal Distribution," American Economic Review, American Economic Association, vol. 63(5), pages 1022-1024, December.
    29. Peter C. Fishburn, 1970. "Intransitive Indifference in Preference Theory: A Survey," Operations Research, INFORMS, vol. 18(2), pages 207-228, April.
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    2. Robert Shelburne, 2006. "A Utilitarian Welfare Analysis of Trade Liberalization," ECE Discussion Papers Series 2006_4, UNECE.
    3. Louis Kaplow, 2022. "Optimal Income Taxation," NBER Working Papers 30199, National Bureau of Economic Research, Inc.
    4. Hom M Pant, 1996. "Endogenous Behaviour of the Tariff Rate in a Political Economy," International Trade 9609001, University Library of Munich, Germany, revised 01 Oct 1996.
    5. Keith L. Dougherty & Julian Edward, 2010. "The Properties of Simple Vs. Absolute Majority Rule: Cases Where Absences and Abstentions Are Important," Journal of Theoretical Politics, , vol. 22(1), pages 85-122, January.
    6. W. Max Corden & Peter Forsyth & Christis G. Tombazos, 2008. "Distinguished Fellow of the Economic Society of Australia, 2007: Yew‐Kwang Ng," The Economic Record, The Economic Society of Australia, vol. 84(265), pages 267-272, June.
    7. Louis Kaplow, 1994. "A Fundamental Objection to Tax Equity Norms: A Call for Utilitarianism," NBER Working Papers 4961, National Bureau of Economic Research, Inc.
    8. James Yunker, 1985. "A broad utilitarian theory of value and moral value," Forum for Social Economics, Springer;The Association for Social Economics, vol. 15(1), pages 29-59, March.
    9. Fabbri Marco & GC Britto Diogo, 2018. "Distributive Justice, Public Policies and the Comparison of Legal Rules: Quantify the “Price of Equity”," Review of Law & Economics, De Gruyter, vol. 14(3), pages 1-23, November.
    10. Olof Johansson-Stenman & Fredrik Carlsson & Dinky Daruvala, 2002. "Measuring Future Grandparents" Preferences for Equality and Relative Standing," Economic Journal, Royal Economic Society, vol. 112(479), pages 362-383, April.

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