MA 103-005
Topics in Contemporary Mathematics
Mathematics
What You Should Be Able To Do For Test 2
Chapter 3
Divide a cake, pizza, or piece of land between two players by the divider-chooser method. This includes deciding the value of various pieces to the different players.
Divide a cake, pizza, or piece of land among three players by the lone-divider method.
Divide a cake, pizza, or piece of land among four or more players by the lone-divider method, if not too many complications arise.
Divide a cake, pizza, or piece of land among any number of players by the last-diminisher method.
Divide a number of valuable items among several players using the method of sealed bids.
Divide candy pieces, etc., among several players using the method of markers.
Chapter 4
Apportion a legislature, etc., using Hamilton's method, Jefferson's method, Webster's method, or the Huntington-Hill method. (For the last three it can be tedious to find the correct divisor. You should at least be able to make a reasonable guess, check whether it works, and say whether your next guess would be higher or lower.)
Explain whether an apportionment violates the Quota Rule or exhibits the Alabama paradox.
Personal Help Sheet
You may bring to the test one sheet of paper containing whatever you find helpful.
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Last modified Tue Sep 24 2002
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