HSMS 230 Mathematical Topics in the Social Sciences I (Honors)
A rigorous mathematical treatment of the following topics:
1. Theory of social choice including a critical approach to different vote-aggregation procedures and a study of their vulnerability to manipulation; Condorcet paradox and the intransitivity of the pair-wise majority rule; other paradoxes of collective choice; May's theorem.
2. Yes-No voting: Banzhaf and Shapley-Shubik indices of political power, their paradoxes and the formal mathematical relation between them; swap and trade robustness; vector-weightedness and dimension of a yes-no voting system.
Prerequisite
University Honors Program