Dominance and mixed strategies by the Simplex algorithm Quiz

1. Which row of $\begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix}$ is dominated?

• A. Row 1
• B. Row 2
• C. Neither
• D. Both

2. Which column of $\begin{pmatrix} 2 & 5 & 6 \\ 3 & 1 & 7 \end{pmatrix}$ is dominated?

• A. Column 1
• B. Column 2
• C. Column 3
• D. None

3. Why is a constant added to every entry before using the Simplex algorithm?

• A. To make the game zero-sum
• B. So that the matrix is square
• C. To remove dominated strategies
• D. To make the value of the game positive

4. In Colin's linear programme, $y_j$ equals...

• A. $q_jV$
• B. $\dfrac{q_j}{V}$
• C. $q_j-V$
• D. $V-q_j$

5. After adding a constant, the optimal $P$ is $\frac14$. What is the value $V$ of the adjusted game?

• A. $\frac14$
• B. $2$
• C. $4$
• D. $\frac12$