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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. Samuelson, Paul A, 1977. "Reaffirming the Existence of "Reasonable" Bergson-Samuelson Social Welfare Functions," Economica, London School of Economics and Political Science, vol. 44(173), pages 81-88, February.
    3. Barbera, Salvador, 1980. "Pivotal voters : A new proof of arrow's theorem," Economics Letters, Elsevier, vol. 6(1), pages 13-16.
    4. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Political Economy and Social Welfare with Voting Procedure," KASBIT Business Journals (KBJ), Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 2, pages 42-66, December.
    5. Allan M. Feldman & Roberto Serrano, 2006. "Welfare Economics and Social Choice Theory, 2nd Edition," Springer Books, Springer, edition 2, number 978-0-387-29368-4, September.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    11. 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)

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    More about this item

    Keywords

    Single-profile preference; Social welfare; Pollak diversity; Dictator.;
    All these keywords.

    JEL classification:

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

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