Chapter 4: Conflict (Game Theory)
Two by Two games- Has two players, each player has two possible strategies.
Ex. Two people A & B are running for Governor in Rhode Island
Both are planning a rally on the same day. The two possible locations are Providenc
Apportionment- The process of dividing resources between several groups based on
population. The result must only contain whole numbers (No fractions)
Traditionally, resources are called Seats
The method I showed you last time was Hamiltons Method.
Hamilt
Chapter 2- Yes-No Voting
There are voting systems where all voters vote either yes or no on the questions.
The European Economic Community (EEC) between 1958 and 1973
France
Germany
Italy
Belgium
Netherlands
Luxembourg
Votes
4
4
4
2
2
1
To Pass A Measure
Shapley-Shubik Power Index
ex. In a weighted voting system a, b, c
a
b
c
4 votes
3 votes
2 votes
a has 4 votes b has 3 votes c has 2 votes
5 votes needed to pass
quota=5
we want to list all possible orderings then find the pivotal total
Order a b c every
Chapter 3- Political Power
Today- Mathematical Preliminaries
1 Item can be placed in order 1 way
1
2 Items can be placed in order 2 ways 1x2
3 Items can be placed in order 6 ways 1x2x3
4 items can be placed in order 24 ways 1x2x3x4
5 items can be placed i