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Referendum Paradox for Party-List Proportional Representation

Author

Listed:
  • Hayrullah Dindar

    (Istanbul Bilgi University)

  • Gilbert Laffond

    (Istanbul Bilgi University)

  • Jean Lainé

    (Istanbul Bilgi University
    Lirsa, Conservatoire National des Arts et Métiers)

Abstract

We consider two-tiers elections based on closed party-list proportional representation (PLPR), where party platforms involving multiple dichotomous issues are endogenously determined by their supporters’ preferences (via issue-wise simple majority voting). Assuming that voters compare platforms according to the criterion of the Hamming distance and provided a high enough number of voters and issues, we show that the outcome of PLPR may be Pareto dominated by the multiple referendum outcome defined as the issue-wise majority will in the whole electorate. We refer to this situation as the PLPR paradox. We characterize the set of party platforms for which the PLPR paradox is possible. We also investigate several restrictions upon voting situations that may be sufficient for avoiding the paradox.

Suggested Citation

  • Hayrullah Dindar & Gilbert Laffond & Jean Lainé, 2021. "Referendum Paradox for Party-List Proportional Representation," Group Decision and Negotiation, Springer, vol. 30(1), pages 191-220, February.
    • Handle: RePEc:spr:grdene:v:30:y:2021:i:1:d:10.1007_s10726-020-09713-y
    DOI: 10.1007/s10726-020-09713-y
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    1. Arnold Cédrick SOH VOUTSA, 2020. "Approval Voting & Majority Judgment in Weighted Representative Democracy," THEMA Working Papers 2020-15, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

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    More about this item

    Keywords

    Proportional representation; Majority rule; Voting paradox;
    All these keywords.

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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