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A characterization of proportionally representative committees

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  • Aziz, Haris
  • Lee, Barton E.

Abstract

A well-known axiom for proportional representation is Proportionality for Solid Coalitions (PSC). We characterize committees satisfying PSC as the range of outcomes obtained by the class of Minimal Demand rules, which generalizes an approach pioneered by eminent philosopher Sir Michael Dummett.

Suggested Citation

  • Aziz, Haris & Lee, Barton E., 2022. "A characterization of proportionally representative committees," Games and Economic Behavior, Elsevier, vol. 133(C), pages 248-255.
    • Handle: RePEc:eee:gamebe:v:133:y:2022:i:c:p:248-255
    DOI: 10.1016/j.geb.2022.03.006
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    More about this item

    Keywords

    Committee selection; Multi-winner voting; Proportional representation; Single transferable vote;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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