Direct Democracy Majority Voting rules Majority Voting rules: one more than half of the votes must favor a measure to gain approval Although the rules are familiar, potential problems with them
11 Direct Democracy: Majority Voting rules • Majority Voting rules: one more than half of the votes must favor a measure to gain approval. • Although the rules are familiar, potential problems with them
Direct Democracy Majority Voting rule example 3 people have to choose among 3 levels of missile provision A is small amount of provision B is moderate amount of provision C is large amount of provision People are Cosmo, Elaine, and George Preferences are shown in Table 6.1 12
12 Direct Democracy: Majority Voting rule example • 3 people have to choose among 3 levels of missile provision – A is small amount of provision – B is moderate amount of provision – C is large amount of provision • People are Cosmo, Elaine, and George • Preferences are shown in Table 6.1
Table 6.1 Table 6.1 Voter preferences that lead to an equilibrium Voter Choice Cosmo Elaine George First A C Second Third BC BA BCA
Table 6.1
Direct Democracy Majority Voting rule example In Table 6.1, the quantity B would win in an election of B vs. a (by a vote of 2-1, with Elaine and George voting for B) B would also win in an election of B vs. C (by a vote of 2-1, with Cosmo and George voting for Selection of b in this case is independent of the order in which the votes are taken 14
14 Direct Democracy: Majority Voting rule example • In Table 6.1, the quantity B would win in an election of B vs. A (by a vote of 2-1, with Elaine and George voting for B). • B would also win in an election of B vs. C (by a vote of 2-1, with Cosmo and George voting for B). • Selection of B in this case is independent of the order in which the votes are taken
Direct Democracy Majority Voting rule example Now consider the preferences are shown in Table 6.2 15
15 Direct Democracy: Majority Voting rule example • Now consider the preferences are shown in Table 6.2