Final Review | MATH 130 - Math in the Social Sciences (GT-MA1), Quizzes of Mathematics

Download Final Review | MATH 130 - Math in the Social Sciences (GT-MA1) and more Quizzes Mathematics in PDF only on Docsity! TERM 1 Plurality Method DEFINITION 1 - finding the candidate with the most first place votes TERM 2 Plurality Method with Elimination Method DEFINITION 2 - Round 1: Count first place votes; eliminate the candidate(s) with the fewest number of first place votes - Round 2: Cross out and rewrite preference schedule; then eliminate again the candidate(s) with the fewest number of first place votes - Rounds 3,4...: Repeat the process, each time eliminating one or more candidates until there is only one TERM 3 Banzhaf Power of Distribution DEFINITION 3 - Step 1: Make a list of all possible wining coalitions - Step 2: Within each winning coalition determine which are critical players - Step 3: Count the number of times that P1 is critical. Repeat for each player. This is B1...BN - Step 4: Add all the Bs together in step three. This is T - Step 5: Find the ratio of B1= B1/T. Repeat to find all Bs for every player TERM 4 Weighted Voting Systems and Total Number of Possible Coalition DEFINITION 4 - do 2 to the however many numbers are in the parentheses TERM 5 Pivotal Sequential Coalition DEFINITION 5 - it is important to the order of the numbers TERM 6 Shapley-Shubik DEFINITION 6 - total pivotal= number in the coalitions ! - then find the number of pivotal for each number TERM 7 Method of Markers DEFINITION 7 - Step 1: Each player divides - Step 2: Go from left to right with dividing 1 to 1; and 2 to 2 TERM 8 Allocations DEFINITION 8 - divide and allocate TERM 9 Bridges in Graphs DEFINITION 9 - an edge whose removal makes a connected graph disconnected TERM 10 Eulerizations DEFINITION 10 - only visits each edge only once