Complete voting systems with two classes of voters: weightedness and counting

Complete voting systems with two classes of voters: weightedness and counting

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Article ID: iaor2012180
Volume: 193
Issue: 1
Start Page Number: 273
End Page Number: 289
Publication Date: Mar 2012
Journal: Annals of Operations Research
Authors: , ,
Keywords: voting systems
Abstract:

We investigate voting systems with two classes of voters, for which there is a hierarchy giving each member of the stronger class more influence or important than each member of the weaker class. We deduce for voting systems one important counting fact that allows determining how many of them are for a given number of voters. In fact, the number of these systems follows a Fibonacci sequence with a smooth polynomial variation on the number of voters. On the other hand, we classify by means of some parameters which of these systems are weighted. This result allows us to state an asymptotic conjecture which is opposed to what occurs for symmetric games.

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