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Methods of voting system and manipulation of voting

Author

Listed:
  • Islam, Jamal
  • Mohajan, Haradhan
  • Moolio, Pahlaj

Abstract

In this paper an attempt has been taken to describe various types of voting system and manipulation of them. French philosophers Marquis de Condorcet (1743-1794) and Jeans-Charles Borda (1733-1799) introduced modern voting system. Duncan Black first introduced the manipulation of voting in 1958 in his book “Theory of Committee and Elections”. Condorcet, Borda and even many modern politicians believe that elections are logically imperfect. In this paper this imperfection is analyzed in some detail. In this paper voting methods are discussed in very simple but in a detailed manner. Voting system is directly involved with Economics, Political Science and Social Science. So that if one has no proper knowledge of the voting system then he can not serve the society in proper way and cannot expect the economic development of the society. Some voting methods such as Arrow’s theorem, median voter theorem, randomized voting, Muller-Satterthwaite theorem and Gibbard-Satterthwaite theorem are apparently non-manipulable and are included in this paper.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:50854
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    File URL: https://mpra.ub.uni-muenchen.de/50854/1/MPRA_paper_50854.pdf
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    References listed on IDEAS

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    Cited by:

    1. Mohajan, Haradhan, 2011. "Social welfare and social choice in different individuals’ preferences," MPRA Paper 50851, University Library of Munich, Germany, revised 19 Jun 2011.
    2. Mohajan, Haradhan, 2011. "Majority judgment in an election with Borda majority count," MPRA Paper 50846, University Library of Munich, Germany, revised 15 Sep 2011.
    3. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2010. "Median voter model cannot solve all the problems of voting system," MPRA Paper 50696, University Library of Munich, Germany, revised 22 Feb 2011.
    4. Mohajan, Haradhan, 2011. "Single transferable vote in local and national elections," MPRA Paper 50861, University Library of Munich, Germany, revised 16 Mar 2012.
    5. Haradhan Kumar Mohajan, 2011. "Approval Voting: A Multi-outcome Election," KASBIT Business Journals (KBJ), Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 4, pages 77-88, December.

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    More about this item

    Keywords

    Voting system; voting paradox; manipulation of voting; Condorcet winner; dictatorship; strategy-proofness.;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

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