The theory of analyzing a decision between a collection of alternatives made by a collection of
voters with separate opinions. Any choice for the entire group should reflect the
desires of the individual voters to the extent possible.
Fair choice procedures usually satisfy anonymity (invariance under permutation of voters), duality (each alternative
receives equal weight for a single vote), and monotonicity
(a change favorable for does not hurt ). Simple majority vote is anonymous, dual, and monotone. May's theorem states a stronger result.
Taylor, A. Mathematics and Politics: Strategy, Voting, Power, and Proof. New York: Springer-Verlag,
1995.Young, S. C.; Taylor, A. D.; and Zwicker, W. S.
"Counting Quota Systems: A Combinatorial Question from Social Choice Theory."
Math. Mag.68, 331-342, 1995.
voters with separate opinions. Any choice for the entire group should reflect the
desires of the individual voters to the extent possible.
does not hurt 
). Simple majority vote is anonymous, dual, and monotone. May's theorem states a stronger result.
