On Weights and Quotas for Weighted Majority Voting Games

Xavier Molinero, Maria Serna and Marc Taberner-Ortiz
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Xavier Molinero: Mathematics Department, Universitat Politècnica de Catalunya · BarcelonaTech, E-08222 Terrassa, Spain
Maria Serna: Computer Science Department, Institut de Matemàtiques de la UPC-BarcelonaTech (IMTech), Universitat Politècnica de Catalunya · BarcelonaTech, E-08034 Barcelona, Spain
Marc Taberner-Ortiz: School of Mathematics and Statistics, Universitat Politècnica de Catalunya · BarcelonaTech, E-08034 Barcelona, Spain

Games, 2021, vol. 12, issue 4, 1-25

Abstract: In this paper, we analyze the frequency distributions of weights and quotas in weighted majority voting games (WMVG) up to eight players. We also show different procedures that allow us to obtain some minimum or minimum sum representations of WMVG, for any desired number of players, starting from a minimum or minimum sum representation. We also provide closed formulas for the number of WMVG with n players having a minimum representation with quota up to three, and some subclasses of this family of games. Finally, we complement these results with some upper bounds related to weights and quotas.

Keywords: weighted majority voting games; experiments; minimum (sum) representation; canonical representation; quotas and weights (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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