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Voting Rules And Properties, Zhuorong Mao
Voting Rules And Properties, Zhuorong Mao
Undergraduate Honors Theses
This thesis composes of two chapters. Chapter one considers the higher order of Borda Rules (Bp) and the Perron Rule (P) as extensions of the classic Borda Rule. We study the properties of those vector-valued voting rules and compare them with Simple Majority Voting (SMV). Using simulation, we found that SMV can yield different results from B1, B2, and P even when it is transitive. We also give a new condition that forces SMV to be transitive, and then quantify the frequency of transitivity when it fails.
In chapter two, we study the `protocol paradox' of approval voting. In approval …