Zero-sum games, play-safe strategies and saddle points Quiz

1. In a zero-sum game, Rose's pay-off is $5$. What is Colin's pay-off?

• A. $10$
• B. $5$
• C. $-5$
• D. $0$

2. Rose's pay-off matrix is $\begin{pmatrix} 5 & 2 \\ 3 & 4 \end{pmatrix}$. What is her maximin value?

• A. $2$
• B. $3$
• C. $4$
• D. $5$

3. For $\begin{pmatrix} 4 & 3 \\ 5 & 2 \end{pmatrix}$ the game is stable. What is its value?

• A. $4$
• B. $5$
• C. $2$
• D. $3$

4. Which statement is true if a game has a saddle point?

• A. Maximin equals minimax
• B. Colin's pay-offs are all positive
• C. The game has no play-safe strategies
• D. Rose should choose each row equally often

5. Colin's play-safe strategy is the column in which...

• A. the least entry is largest
• B. the greatest entry is largest
• C. the greatest entry is smallest
• D. the least entry is smallest