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Political Economy and Social Welfare with Voting Procedure

Author

Listed:
  • Jamal Nazrul Islam

    (Research Centre for Mathematical and Physical Sciences, University of Chittagong, Chittagong)

  • Haradhan Kumar Mohajan
  • Pahlaj Moolio

Abstract

Mathematical Economics, Social Science and Political Science are inter-related. In this paper, an attempt has been made to describe aspects of these subjects by introducing examples, definitions, mathematical calculations and discussions. Game Theory is included in this paper to study mathematical models in economics and political science especially to study Nash equilibrium. Success and failure of democracy are interpreted as different equilibria of a dynamic political game with cost of changing leadership. Unitary democracy can be frustrated when voters do not replace corrupt leaders. Federal democracy cannot be consistently frustrated at both national and provincial levels. Arrow?s theorem indicates that the aggregate of individuals? preferences will not satisfy transitivity, indifference to irrelevant alternatives and nondictatorship, simultaneously to enable one of the individuals becomes a dictator. In this paper both social welfare functions and social choice correspondence are considered in economical environments.

Suggested Citation

  • 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.
  • Handle: RePEc:ksb:journl:v:2:y:2009:p:42-66
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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. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Preference of Social Choice in Mathematical Economics," Indus Journal of Management & Social Science (IJMSS), Department of Business Administration, vol. 3(1), pages 18-38, June.
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    More about this item

    Keywords

    Preference Relation; Pure and Mixed Strategies; Nash Equilibrium; Social Choice; unitary and Federal Democracy;
    All these keywords.

    JEL classification:

    • H71 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Taxation, Subsidies, and Revenue
    • H72 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Budget and Expenditures
    • H73 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Interjurisdictional Differentials and Their Effects
    • H80 - Public Economics - - Miscellaneous Issues - - - General

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