Show simple item record Tabachnik, Maksim 2011-05-11T14:06:38Z 2011-05-11T14:06:38Z 2011-05-11
dc.description Honors Thesis for Graduation with Distinction in Mathematics en_US
dc.description.abstract To provide insight on various voting systems, we study six election methods using three categories of analysis. First, we prove and discuss the various fundamental election properties satisfied by each method. Since the better election methods tend to satisfy more of these properties, we are able to narrow down the list of preferable voting systems. The next phase focuses on the “crowding out” of candidates in elections. We study the susceptibility of each voting system to this crowding phenomenon, verifying that the best methods are those that do not tend to exhibit this problem. Finally, we take two of the best voting systems and run simulated random elections to assess how often they choose the same winner and which method has the best head-to-head winning percentage. We compare these top methods to another system from the original pool of six as a control example. This thesis should help inform studies of how to choose the best election method and provide a recommendation regarding which methods are generically the best. en_US
dc.language.iso en_US en_US
dc.subject Voting methods en_US
dc.subject Arrow's theorem en_US
dc.subject Crowding en_US
dc.subject Condorcet en_US
dc.subject Ranked pairs en_US
dc.subject Least worst defeat en_US
dc.title Strategy and Effectiveness: An Analysis of Preferential Ballot Voting Methods en_US
dc.department Mathematics en_US

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