Math Exam 1

Plurality Method

Find who has the most 1st place votes.

Borda Count

Ranking of candidates based on points assigned to each rank, where lower ranks receive fewer points.

Plurality with Elimination Method

Voting method in which voters rank candidates, the candidate with the fewest 1st-place votes is repeatedly eliminated and their votes transferred to the next-ranked candidate on each ballot, until one candidate has a majority.

Pairwise Comparison Method

Every candidate is compared head-to-head against every other candidate, earning a point for each such comparison won

Banzhaf Power

Counting the number of winning coalitions in which that voter is a critical member

Fair Share

A method of dividing resources or benefits among participants so that each participant receives an equitable portion based on their contribution or entitlement.

Divider-Chooser Method

A method for dividing a resource where one party divides it into sections and the other party chooses their preferred section, ensuring fairness.

Method Of Sealed Bids

The method of sealed bids is a fair-division procedure in which each party privately submits a dollar value bid on every item, each item goes to the highest bidder, and cash payments are made (through a settlement calculated from the bids) to equalize the total value each party receives.

Hamiltons Method

Apportionment procedure in which each group is first given its lower quota (the whole-number part of its standard quota), and any leftover seats are then distributed one at a time to the groups with the largest fractional remainders until all seats are assigned.

Jeffersons Method

Apportionment procedure in which a modified (lowered) divisor is used to divide each group's population, and each group receives as many seats as the whole-number (rounded-down) result of that division, with the divisor adjusted by trial and error until the seats sum to the correct total.

Apportionment procedure in which each group's population is divided by a common divisor and the result is rounded using the geometric mean of the two nearest whole numbers as the rounding threshold, with the divisor adjusted by trial and error until the seats sum to the correct total.