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Social welfare and social choice in different individuals’ preferences

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  • Mohajan, Haradhan

Abstract

This paper discusses both social welfare and social choice using Arrow’s impossibility theorem for multi-profile preference case and two versions of it for single-profile preference case. Between these two versions first one assumes a two-individual society and the second one, which is similar to a theorem of Pollak, assuming two or more individuals. In single-profile version decisiveness, simple and complex diversity must occur. This paper considers a special case of Arrow’s theorem, namely single-profile preference. Diversity and decisiveness of preferences are discussed for two individuals and more than two individuals in a society.

Suggested Citation

  • Mohajan, Haradhan, 2011. "Social welfare and social choice in different individuals’ preferences," MPRA Paper 50851, University Library of Munich, Germany, revised 19 Jun 2011.
  • Handle: RePEc:pra:mprapa:50851
    as

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    File URL: https://mpra.ub.uni-muenchen.de/50851/1/MPRA_paper_50851.pdf
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    References listed on IDEAS

    as
    1. Miller, Michael K., 2009. "Social choice theory without Pareto: The pivotal voter approach," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 251-255, September.
    2. Kevin W. S. Roberts, 1980. "Social Choice Theory: The Single-profile and Multi-profile Approaches," Review of Economic Studies, Oxford University Press, vol. 47(2), pages 441-450.
    3. 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.
    4. Barbera, Salvador, 1980. "Pivotal voters : A new proof of arrow's theorem," Economics Letters, Elsevier, vol. 6(1), pages 13-16.
    5. 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.
    6. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    7. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Political Economy and Social Welfare with Voting Procedure," KASBIT Business Journals, Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 2, pages 42-66, December.
    8. Rubinstein, Ariel, 1984. "The Single Profile Analogues to Multi Profile Theorems: Mathematical Logic's Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 719-730, October.
    9. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2010. "Methods of voting system and manipulation of voting," MPRA Paper 50854, University Library of Munich, Germany, revised 06 May 2010.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Single-profile preference; Social welfare; Pollak diversity; Dictator.;

    JEL classification:

    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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