## Which Scoring System Maximizes Condorcet Efficiency? |

**Davide Cervone, William Zwicker**

September 20, 2000

12:30 - 1:30 pm

Bailey Hall 201

Refreshments in the common room at 12:15 pm

A scoring system assigns points to each voter's first choice, second choice, etc. and elects the candidate with the highest total score. Which point assignment maximizes the probability that the Condorcet candidate is elected, if a Condorcet candidate exists? In the case of a uniform distribution over profiles, the problem boils down to that of finding the position of a moving hyperplane that maximizes the volume of a certain 5-dimensional chunk ofR^{6}. We show that the answer isnotthe Borda count; this contradicts a published result. This is a joint paper by Davide Cervone, William Gehrlein, William Zwicker.

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