In this article we employ the theory of power indices to evaluate the respective influence of the two classes of electors in the polling method introduced by the electoral law of 29 June 1820, a method known as the law of “double vote”. We will show, using amplified model, that the voting...

In a federal union, a referendum paradox occurs each time a decision taken by representatives elected in separate jurisdictions (districts, states, regions) conflicts with the decision that would have been adopted if the voters had directly given their opinion via a referendum (Nurmi 1999)....

We consider a set of alternatives (electoral platforms, bills, etc. ...) defined as a Cartesian product of k finite discrete sets. We assume that the preferences of the individuals (voters) are marginally single-peaked and separable. The main result of this paper states that the pairwise...

This article provides detailed results of computer simulation related to a theoretical work led by Le Breton and Lepelley [2011]. Particularly, we try to enlight results that can not be reached with analytical tools. Classification JEL : D71, D72.

An Excess-Voting Function relative to a profile assigns to each pair of alternatives (x,y), the number of voters who prefer x to y minus the number of voters who prefer y to x. It is shown that any non-binary separable Excess-Voting Function can be achieved from a preferences profile when...

Even, and in fact chiefly, if two or more players in a voting game have on a binary issue independent opinions, they may have interest to form a single voting alliance giving an average gain of influence for all of them. Here, assuming the usual independence of votes, we first study the alliance...

The main purpose of this paper is to estimate the probability of casting a decisive vote for a class or random electorate models encompassing the celebrated IC and IAC models. The emphasis is on the impact of correlation across votes on the order of magnitude of this event. Our proof techniques...