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Preference Schedules

a table showing the vote tally from the preference list ballot

Plurality Winner

is based on first-place rankings only. The winner is the choice that receives the most votes

Majority Winner

first on over half. more than 50%

Borda Count

assign points to a first-place ranking, n-1 to a second place ranking...the group ranking is established by totaling each choices points

runoff method

eliminate all choices except the two with the highest totals. then look at who is above what on the scheduels that are left

sequential runoff method

elimination the lowest, one at a time. doing it in rounds, eliminating the lowest choices in all of them

condorcet method

head to head competition, one has to win against everybody

pairwise voting

two choices are selected and a vote is taken. the loser is eliminated and a new vote is taken in which is paired against a new choice

voting insincerely

when people decide to vote differently from the way they feel about the choices

Arrows Conditions

trying to achieve fair conditions


the preference of a single individual should not become the group ranking without considering the preferences of the others

individual sovereignty

each individual should be allowed to order the choices in any way and to indicate ties


if every individual preferes one choice to another, the the group ranking should do the same

freedom from irrelevant alernatives

the winning choice should still win if one of the other choices is removed

uniqueness of the group ranking

the method of producing the group ranking should give the same result whenever it is applied to a givel set of preferences. the group ranking should also be transitive

exception to arrow

any group-ranking method will violate at least one of arrow's conditions in some situations

approval voting

you may vote for as many choices as you like, but you do not rank them

weighted voting

occurs whenever some members of the voting body have more votes than others have

winning coalitions

those with enough votes to pass an issue

power index

a measure of the power of a member of a voting body

a voters power index

is the number of winning coalitions to which the voter is essential

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