Evaluating Presidential Elections Using Game Theory
Mathematics & Statistics
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Every four years in the United States, a Presidential Election is held. In this election, every state is given a certain number of Electoral Votes and a candidate wins the election they receive more votes than any other candidate. Over the years, many have questioned how fair this is. One way to evaluate the power each state wields during an election was discussed by Lloyd Shapley and Irwin Mann. This thesis will seek to evaluate the power index values of each state by recreating the process employed by Shapley and Mann using modern computing. By doing so, this thesis will demonstrate two results: in evaluating states, the larger states will be shown to have more power; while in evaluating the citizens, groups from smaller states will be shown to have more power.