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Bergson-Samuelson Social Welfare Functions and the Theory of Social Choice

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  • Robert A. Pollak

Abstract

I. Introduction, 73.—II. A difficulty in the single profile social preference ordering approach, 75.—III. Pareto-extension rules, 81.—IV. A set of necessary and sufficient conditions for simple majority decision, 83.—V. Conclusion, 85.

Suggested Citation

  • Robert A. Pollak, 1979. "Bergson-Samuelson Social Welfare Functions and the Theory of Social Choice," The Quarterly Journal of Economics, Oxford University Press, vol. 93(1), pages 73-90.
  • Handle: RePEc:oup:qjecon:v:93:y:1979:i:1:p:73-90.
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    References listed on IDEAS

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    1. Robert P. Parks, 1976. "An Impossibility Theorem for Fixed Preferences: A Dictatorial Bergson-Samuelson Welfare Function," Review of Economic Studies, Oxford University Press, vol. 43(3), pages 447-450.
    2. Hansson, Bengt, 1969. "Group Preferences," Econometrica, Econometric Society, vol. 37(1), pages 50-54, January.
    3. Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, vol. 45(1), pages 53-89, January.
    4. Kemp, Murray C & Ng, Yew-Kwang, 1976. "On the Existence of Social Welfare Functions, Social Orderings and Social Decision Functions," Economica, London School of Economics and Political Science, vol. 43(169), pages 59-66, February.
    5. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
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    Citations

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    Cited by:

    1. Rubinstein, Ariel, 1998. "Definable preferences: An example1," European Economic Review, Elsevier, vol. 42(3-5), pages 553-560, May.
    2. Marc Fleurbaey & Philippe Mongin, 2005. "The news of the death of welfare economics is greatly exaggerated," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 381-418, December.
    3. d'Aspremont, Claude & Gevers, Louis, 2002. "Social welfare functionals and interpersonal comparability," 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 10, pages 459-541 Elsevier.
    4. Huiping Yuan & Stephen M. Miller, 2006. "The Making of Optimal and Consistent Policy: An Implementation Theory Framework for Monetary Policy," Working papers 2006-06, University of Connecticut, Department of Economics, revised Jan 2009.
    5. Mohajan, Haradhan, 2011. "Social welfare and social choice in different individuals’ preferences," MPRA Paper 50851, University Library of Munich, Germany, revised 19 Jun 2011.
    6. John A. Weymark, 2005. "On Kolm's Use of Epistemic Counterfactuals in Social Choice Theory," Vanderbilt University Department of Economics Working Papers 0518, Vanderbilt University Department of Economics.
    7. Allan M. Feldman & Roberto Serrano, 2006. "Darwinian Arrow's Impossibility Theorem: Two Simple Single-Profile Versions," Working Papers 2006-11, Brown University, Department of Economics.
    8. Allan M. Feldman & Roberto Serrano, 2007. "Arrow’s Impossibility Theorem: Preference Diversity in a Single-Profile World," Working Papers wp2007_0710, CEMFI.
    9. Allan M Feldman & Roberto Serrano, 2008. "Arrow's Impossibility Theorem: Preference Diversity in a Single-Profile World," Working Papers 2008-8, Brown University, Department of Economics.
    10. Huiping Yuan & Stephen M. Miller & Langnan Chen, 2011. "The Optimality And Controllability Of Monetary Policy Through Delegation With Consistent Targets," Scottish Journal of Political Economy, Scottish Economic Society, vol. 58(1), pages 82-106, February.
    11. Yuan, Huiping & Miller, Stephen M., 2010. "Implementing optimal monetary policy: Objectives and rules," Economic Modelling, Elsevier, vol. 27(3), pages 737-745, May.
    12. Allan M. Feldman & Roberto Serrano, 2007. "Arrow's impossibility theorem: Two simple single-profile versions," Working Papers 2007-07, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    13. Cesar Calvo & Stefan Dercon, 2013. "Vulnerability to individual and aggregate poverty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 721-740, October.
    14. Elizabeth Maggie Penn, 2015. "Arrow’s Theorem and its descendants," Chapters,in: Handbook of Social Choice and Voting, chapter 14, pages 237-262 Edward Elgar Publishing.
    15. El-Osta, Hisham S. & Morehart, Mitchell J., 2009. "Welfare Decomposition in the Context of the Life Cycle of Farm Operators: What Does a National Survey Reveal?," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 38(2), pages 1-17, October.
    16. Amavilah, Voxi Heinrich, 2016. "The 'Common Goood' in Pope Francis's Social Welfare Hypothesis," MPRA Paper 71760, University Library of Munich, Germany.
    17. Huiping Yuan & Stephen M. Miller & Langnan Chen, 2011. "The Optimality And Controllability Of Monetary Policy Through Delegation With Consistent Targets," Scottish Journal of Political Economy, Scottish Economic Society, vol. 58(1), pages 82-106, February.

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