Recent developments in voting theory show that Condorcet profiles embedded in electoratesare responsible for conflicts between pairwise voting methods and for reversals ofrankings under positional methods whenever candidates are dropped or added. Because ofthe strong symmetry of the rankings of...

We characterize the preference domains on which the Borda count satisfies Arrow's ``independence of irrelevant alternatives" condition. Under a weak richness condition, these domains are obtained by fixing one preference ordering and including all its cyclic permutations (``Condorcet cycles")....

The Borda Count (BC) is a positional voting procedure fairly often applied in nonpolitical choice settings. It has a usual mixture of good and bad theoretical properties. It is monotonic and consistent and excludes the election of an eventual Condorcet loser. It, however, does not necessarily...

The Borda Count (BC) is a positional voting procedure fairly often applied in nonpolitical choice settings. It has a usual mixture of good and bad theoretical properties. It is monotonic and consistent and excludes the election of an eventual Condorcet loser. It, however, does not necessarily...

We characterize the preference domains on which the Borda count satisfies Arrow's ``independence of irrelevant alternatives" condition. Under a weak richness condition, these domains are obtained by fixing one preference ordering and including all its cyclic permutations (``Condorcet cycles")....

In an election without a Condorcet winner, Dodgson's Method is designed to find the candidate that is "closest" to being a Condorcet winner. In this paper, we show that the winner from Dodgson's Method can occur at any position in the ranking obtained from the Borda Count, the plurality method,...

In this paper, we study individual incentives to report preferences truthfully for the special case when individuals have dichotomous preferences on the set of alternatives and preferences are aggregated in form of scoring rules. In particular, we show that (a) the Borda Count coincides with...

This paper presents a general procedure for finding profiles with the minimum number of voters required for many important paradoxes. Borda's and Condorcet's classic examples are revisited as well as generalizations. Using Saari's procedure line, we obtain an upper bound for the minimum number...

In the first competitive election for President of the Social Choice and Welfare Society, the (official) approval-voting winner differed from the (hypothetical) Borda count winner, who was also the Condorcet winner. But because the election was essentially a toss-up, it is impossible to say who...

It is known that on some social choice and economic domains, a social choice function is coalition strategy-proof if and only if it is Maskin monotonic (e.g. Muller and Satterthwaite, 1977). This paper studies the foundation of those results. I provide a set of conditions which is sufficient for...