Game Theory and Democracy
What is democracy? Using preferential ballots in elections is a natural idea since it allows voters to express a 1st choice, a 2nd choice, 3rd choice, etc. on each ballot, thereby collecting more information from each voter and creating the potential for an outcome which better represents the voters. However, there are many ways to determine the winner of a preferential ballot election, and each "preferential ballot vote counting method" has its own game theory, both for the candidates and the voters, some better and some worse, and often very different from the game theory of the single vote ballot. In this course, we'll use game theory and mathematics to study these questions.