By Dan S. Felsenthal, Moshé Machover
Consultant Electoral platforms - Underlying Assumptions and determination Rules.- Paradoxes Afflicting Electoral techniques and Their anticipated Probability.- conception and perform - extra issues in making a choice on a vote casting method
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Extra info for Electoral systems : paradoxes, assumptions, and procedures
60–62), Kemeny’s procedure has also the advantage that it can be justified not only from Condorcet’s perspective of the maximum likelihood rule, but also as choosing for the entire society the “median preference ordering” – which can be viewed from the perspective of modern statistics as the best compromise between the various rankings reported by the voters. S. 1 Demonstrating Paradoxes Afflicting the Plurality Procedure Except for being vulnerable to strategic voting, the plurality procedure is vulnerable to the Condorcet winner paradox, the Condorcet loser paradox, the absolute loser paradox, the preference inversion paradox, and to SCC.
54). Suppose there are six voters whose preference orderings among three candidates, a; b, and c, are as follows: No. of voters 2 2 1 1 Preference ordering a b c b c a c a b c b a Suppose further that the order in which the divisions are conducted is as follows: a vs. b in round 1 Winner of round 1 vs. , in favor of the candidate who is denoted by the letter that is closer to the beginning of the alphabet. Accordingly, there is a tie between a and b in the first round which is broken in favor of a, and in the second round c beats a and becomes the ultimate winner.
5 Range Voting (Smith 2000) According to this procedure the suitability (or level of performance) of every candidate is assessed by every voter and is assigned a (cardinal) grade (chosen from a pre-specified range) reflecting the candidate’s suitability or level of performance in the eyes of the voter. The candidate with the highest average grade is the winner. This procedure is currently championed by Warren D. Smith (see http://rangevoting. org) and used to elect the winner in various sport competitions.
Electoral systems : paradoxes, assumptions, and procedures by Dan S. Felsenthal, Moshé Machover