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On allocating seats to parties and districts: apportionments

Author

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  • Gabrielle Demange

    (PSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

Abstract

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

Suggested Citation

  • Gabrielle Demange, 2011. "On allocating seats to parties and districts: apportionments," PSE Working Papers halshs-00644439, HAL.
  • Handle: RePEc:hal:psewpa:halshs-00644439
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00644439
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    File URL: https://halshs.archives-ouvertes.fr/halshs-00644439/document
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    References listed on IDEAS

    as
    1. Marjorie B. Gassner, 1991. "Biproportional Delegations," Journal of Theoretical Politics, , vol. 3(3), pages 321-342, July.
    2. Steven J. Brams, 1990. "Constrained Approval Voting: A Voting System to Elect a Governing Board," Interfaces, INFORMS, vol. 20(5), pages 67-80, October.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Party Proportional Representation; Power Indics; (Bi-) Apportionment; (Bi-) Divisor Methods; Fair Shares;

    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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