Contents:

• Overview
• Practice Problems
• Problems to be Submitted
• Extra Credit

Topic: Stable Marriage
Related Reading: Ch. 1
Due: Friday, 1 Februrary 2008 (snow)
Monday, 4 February 2008

Please make sure you adhere to the policies on academic integrity.

• See "Solved Exercises" in Chapter 1 of text

1. (10 points)

   Decide whether you think the following statement is true or false. If it is true, given a short justification. If it is false, give a counterexample.

   Consider an instance of the Stable Matching Problem in which there exists a man m and a woman w such that m is ranked first on the preference list of w and w is ranked first on the preference list of m. then in every stable matching S for thisinstance, the pair (m, w) belongs to S.

2. (10 points)

   Decide whether you think the following statement is true or false. If it is true, given a short justification. If it is false, give a counterexample.

   For any valid stable matching S, there must be at least one person who is paired with the person ranked first on his or her preference list.

3. (20 points)

   Exercise 5 of Chapter 1 (pp. 24-25)

4. (4 points)

   Exercise 6 of Chapter 1 (pp. 25-26)