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Dummy Players and the Quota in Weighted Voting Games: Some Further Results

In: Evaluating Voting Systems with Probability Models

Author

Listed:
  • Fabrice Barthélémy

    (Université de Versailles Saint-Quentin en Yvelines, CEMOTEV)

  • Mathieu Martin

    (CY Cergy Paris UniversitHEMA)

Abstract

This chapter is a companion paper of Barthélémy et al. (2019) which studies the role of the quota on the occurrence of “dummy” players in small weighted voting games (i.e., in voting games with 3, 4 or 5 players). We here extend the results obtained in this paper by considering voting games with a larger number of players (up to 15). It is shown that the probability of having a player without voting power is very sensitive to the choice of the quota and the quota values that minimize this probability are derived.

Suggested Citation

  • Fabrice Barthélémy & Mathieu Martin, 2021. "Dummy Players and the Quota in Weighted Voting Games: Some Further Results," Studies in Choice and Welfare, in: Mostapha Diss & Vincent Merlin (ed.), Evaluating Voting Systems with Probability Models, pages 299-315, Springer.
    • Handle: RePEc:spr:stcchp:978-3-030-48598-6_13
    DOI: 10.1007/978-3-030-48598-6_13
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    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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