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On Allocating Seats To Parties And Districts: Apportionments

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  • GABRIELLE DEMANGE

    (PSE-EHESS, 48 Boulevard Jourdan, 75014 Paris, France)

Abstract

The paper presents the problem of choosing the representatives in an assembly when the whole electoral region is subdivided into several electoral districts. Because of the two dimensions, geographical (districts) and political (parties), the problem is called bi-apportionment. The main purpose of the paper is to discuss fairness and proportionality axioms and to describe their implementation.

Suggested Citation

  • Gabrielle Demange, 2013. "On Allocating Seats To Parties And Districts: Apportionments," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-14.
    • Handle: RePEc:wsi:igtrxx:v:15:y:2013:i:03:n:s0219198913400148
    DOI: 10.1142/S0219198913400148
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    References listed on IDEAS

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    1. Steven J. Brams, 1990. "Constrained Approval Voting: A Voting System to Elect a Governing Board," Interfaces, INFORMS, vol. 20(5), pages 67-80, October.
    2. Demange,Gabrielle & Wooders,Myrna (ed.), 2005. "Group Formation in Economics," Cambridge Books, Cambridge University Press, number 9780521842716, June.
    3. M. L. Balinski & G. Demange, 1989. "An Axiomatic Approach to Proportionality Between Matrices," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 700-719, November.
    4. Marjorie B. Gassner, 1991. "Biproportional Delegations," Journal of Theoretical Politics, , vol. 3(3), pages 321-342, July.
    5. Sebastian Maier & Petur Zachariassen & Martin Zachariasen, 2010. "Divisor-Based Biproportional Apportionment in Electoral Systems: A Real-Life Benchmark Study," Management Science, INFORMS, vol. 56(2), pages 373-387, February.
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    Cited by:

    1. Byeong-hyeon Jeong, 2024. "The cost of proportional representations in electoral system design," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 47-56, June.

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    More about this item

    Keywords

    Party-proportional representation; power indices; (bi-)apportionment; (bi-)divisor methods; fair shares; D70; D71;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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