"Math and the Vote", Moon Duchin. This is the video from class! It introduces how mathematicians think about voting.
Which voting system is the best? Dives into four different voting: plurality, instant runoff, tactical, and the Condorcet method, and ends with a discussion about the idea of fairness in voting.
Gerrymandering: Crash Course Government and Politics #37 gives a short and easy-to-follow introduction to gerrymandering.
The time California tried to change the redistricting game. This video offers a brief glimpse into California's process as it created the Independent Citizens Redistricting Commission in an attempt to place redistricting power in the hands of citizens.
Explaining the Efficiency Gap. This video offers a brief introduction to the efficiency gap and offers a great starting point for how it can be used to consider fairness.
Voting Paradoxes | Exploratorium. Several voting paradoxes are explained - using ice cream!
Voting Theory
Types of Voting Schemes
Plurality Voting
Plurality/Majority Systems: FairVote describes various types of plurality and majority systems, including instant-runoff voting.
Borda Count: Borda Count tutorial with exercises and an embedded explanatory video.
Condorcet Criteria
This video examines different voting systems, including plurality, instant-runoff, and the Borda count. At 7:20 it introduces the Condorcet Criterion to its comparison and shows how using it results in a different voting outcome.
Summary of an undergraduate research project which examines who draws state legislative and congressional districts, gubernatorial veto powers and other powers, and who is responsible for drawing backup maps.
Explains how using mathematical tools can help with weeding out gerrymandering and allow for the apportionment of congressional districts to be a fair process.
Another way of looking at redistricting procedures. Also contains links to state-based requirements, a lengthy article on gerrymandering, and a link to recent redistricting court cases
This example from Harvard shows hypothetical examples of both compact and noncompact differences, as well as a link to the related paper that the researchers wrote.
Explains the rationale of the Fair Representation Act along with why it would be good. This web page also contains several other tabs with useful information.
