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Social welfare and social choice in different individuals’ preferences

  • Mohajan, Haradhan
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    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.

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    File URL: http://mpra.ub.uni-muenchen.de/50851/1/MPRA_paper_50851.pdf
    File Function: original version
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    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 50851.

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    Date of creation: 24 Jan 2011
    Date of revision: 19 Jun 2011
    Publication status: Published in International Journal of Human Development and Sustainability 1.5(2012): pp. 11-22
    Handle: RePEc:pra:mprapa:50851
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    Web page: http://mpra.ub.uni-muenchen.de

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    1. Barbera, Salvador, 1980. "Pivotal voters : A new proof of arrow's theorem," Economics Letters, Elsevier, vol. 6(1), pages 13-16.
    2. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Political Economy and Social Welfare with Voting Procedure," KASBIT Journal of Management & Social Science, Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 2, pages 42-66, December.
    3. Parks, Robert P, 1976. "An Impossibility Theorem for Fixed Preferences: A Dictatorial Bergson-Samuelson Welfare Function," Review of Economic Studies, Wiley Blackwell, vol. 43(3), pages 447-50, October.
    4. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    5. 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.
    6. Pollak, Robert A, 1979. "Bergson-Samuelson Social Welfare Functions and the Theory of Social Choice," The Quarterly Journal of Economics, MIT Press, vol. 93(1), pages 73-90, February.
    7. Roberts, Kevin W S, 1980. "Social Choice Theory: The Single-profile and Multi-profile Approaches," Review of Economic Studies, Wiley Blackwell, vol. 47(2), pages 441-50, January.
    8. Miller, Michael K., 2009. "Social choice theory without Pareto: The pivotal voter approach," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 251-255, September.
    9. 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 719-30, October.
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