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MA 103-005

Topics in Contemporary Mathematics

Mathematics

### What You Should Be Able To Do For Test 1

#### Chapter 1

Find the winner of an election using (1) plurality method, (2) Borda count, (3) plurality with elimination, (4) method of pairwise comparison.

Answer questions such as: Does this example violate the majority criterion? The Condorcet criterion? The independence-of-irrelevant-alternatives criterion? Be able to explain your answers.

Answer questions such as: Explain why the method of pairwise comparisons always satisfies the majority criterion.

#### Chapter 2

Find the number of coalitions.

Identify dictators, players with veto power, dummies.

Find the Banzhaf power distribution of a weighted voting system.

#### Personal Help Sheet

You may bring to the test one sheet of paper containing whatever you find helpful.

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Last modified Mon Sep 2 2002

Send questions or comments to schecter@math.ncsu.edu