Social Choice Theory

The theory of analyzing a decision between a collection of alternatives made by a collection of voters with separateopinions. 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), andMonotonicity (a change favorable for does not hurt ). Simple majority vote is anonymous,dual, and monotone. May's Theorem states a stronger result.

References

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.

• Wallace-Bolyai-Gerwein Theorem
• Wallace-Simson Line
• Wallis Cosine Formula
• Wallis Formula
• Wallis's Conical Edge
• Wallis Sieve
• Wallis Sine Formula
• Wallis's Problem
• Wallpaper Groups
• Walsh Function
• Walsh Index
• Wang's Conjecture
• Ward's Primality Test
• Waring Formula
• Waring's Conjecture
• Waring's Prime Conjecture
• Waring's Problem
• Waring's Sum Conjecture
• Waring's Theorem
• Watchman Theorem
• Watson-Nicholson Formula
• Watson Quintuple Product Identity
• Watson's Formula
• Watson's Theorem
• Watt's Curve