MATH 1007 Chapter Notes - Chapter 1-6: Condorcet Method, List Of Mathematical Jargon, Majority Criterion
Document Summary
Super majority- to win, a candidate must get a predetermines proportion p > of the votes- say p= 2/3 or more- otherwise it is declared a tie. The value of p=1 corresponds to the need for unanimous support to win: satisfies anonymous, neutral, and monotone criteria. If either candidate wins under that base method, then that candidate wins under that status quo method as well. If there is a tie under the base method, then the status quo method names the status quo candidate as the winner: satisfies anonymous, monotone, decisive, and nearly decisive criteria. Dictatorship- there is one voter-the dictator- whose choice is declared the winner, regardless of the choices of other voters: satisfies neutral, monotone, decisive, and nearly decisive criteria. Monarchy- there is one candidate-called the monarch- who wins no matter what the voters want: satisfies anonymous and monotone criteria.
