Math 130 - Mathematics in Action
Chapter 2: Fair Division and Apportionment
Chapter 2 Trivia
When using the Claim and Challenge method with 4 players, if everyone challenges every time, how many challenges are there altogether?
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Tools
Apportionment Methods
Hamilton Method calculator
Jefferson Method calculator
Adams Method calculator
Webster Method calculator
Huntington-Hill Method calculator
Cake Cutting Methods
Decimals, Fractions, Percents. Cut and choose detailed examples.
Cut and Choose: example
Cut and Choose: example
Claim and Challange: example
Sealed Bids Method
Example
Sealed Bids calculator
Links
The Lion, the Fox, and the Ass
The
original US Constitution
,
a more ledgible version
, and
Article I, Section 2
in particular.
A useful handout:
Classification of Fair Division problems.
Wikipedia has a
very detailed article
on US congressional apportionment, including a discussion of
constituents per representative
and the
Huntington-Hill method
.
Congressional Apportionment
U.S. population, according to 2000 census
, and
population estimates based on census projections .
Economics Nobel Prize, 1998
Test 2 Stats