Voting and Elections

US 2000 Presidential Elections

These lessons are intended for mathematically interested high school students to give them a firm introduction to Voting and Election Theory. Each lesson includes two problem sets that are essential to work through. Solutions and hints to these problems can be found in section VII. In the case that these lessons are being used in a classroom setting, some of them will require multiple session to cover, the problem sets then could be used as group work or homework sets. These lessons should be covered in order. For more information and references from which the material came, links and books are suggested at the end of each lesson.
  1. May's Theorem
  2. Plurality and Borda
  3. Condorcet and Sequential Pairwise Voting
  4. Arrow's Impossibility Theorem
  5. Approval Voting, IBI, and Range Voting
  6. Coalitions and the Banzhaf Power Index
  7. Solutions\hints to Problem Sets

This work was made possible due to a grant from the National Science Foundation.