Math 130 - Mathematics in Action
Chapter 2: Fair Division and Apportionment
Chapter 2 Trivia
Using the Sealed Bids methods, is it possible for one person to receive all of the items to be divided? If not, why not? If so, what do the other people get?
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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