In this paper we analyze the simple case of voting over two alternatives with variable electorate. Our findings are (a) the axiom of continuity is redundant in the axiomatization of scoring rules in Young (1975), SIAM J. Appl. Math. 28: 824-838, (b) the smaller set of axioms characterize this...

In this short note, we first provide two rather straightforward proofs for the Muller - Satterthwaite theorem in the baseline cases of 2 person 3 alternatives, and 2 person n ≥ 3 alternatives. We also show that it suffices to prove the result in the special case of 3 alternatives (with...