Voting with Partial Orders: The Plurality and Anti-Plurality Classes

The Plurality rule for 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 partial orders, offering axiomatic characterisations for these extensions.\\ \textbf{Keywords:} Plurality, Anti-Plurality, Strict Partial Orders, Voting.