Seperable Voting Rules and the Strong Referandum Paradox
This paper provides a model of indirect elections where voters having weak orders as preferences over ﬁnitely many alternatives are distributed across a given set of districts. In each district preferences are aggregated into a district preference, and a voting rule selects one or several alternatives from the proﬁle of district preferences. The referendum paradox holds at some proﬁle and some distribution of voters across districts if the outcome of indirect elections does not coincide with the one of direct elections. We prove that whenever an indirect election procedure is separable, it is exposed to the referendum paradox if and only if it is exposed to a stronger version of the referendum paradox, where direct and indirect elections give diﬀerent outcomes for any distribution of the voters across districts. We prove that many indirect elections based on a tournament solution are separable, whereas some based on a scoring rule are not. Finally, we show that all indirect elections based on a scoring rule are exposed to the strong referendum paradox
|Date of creation:||Feb 2013|
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