Voting with Partial Orders: The Plurality and Anti-Plurality Classes
For social choice theorists, this work generalizes two fundamental voting rules to more realistic preference structures, but the contribution is incremental as it follows established characterization methods.
The paper extends Plurality and Anti-Plurality voting rules from linear orders to partial orders, providing axiomatic characterizations for these extensions.
In the theory of voting, the Plurality rule for preferences that come in the form of linear orders selects the alternatives most frequently appearing in the first position of those orders, while the Anti-Plurality rule selects the alternatives least often occurring in the final position. We explore extensions of these rules to preferences that are partial orders, offering axiomatic characterisations for them.