5. Decision Mathematics

Game Theory — Quiz

Test your understanding of game theory with 5 practice questions.

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Practice Questions

Question 1

What is the definition of a saddle point in a two-person zero-sum game?

Question 2

Given the following payoff matrix for a two-person zero-sum game: $ \begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix} $, what is the maximin strategy for Player 1?

Question 3

In the context of dominance, which of the following best describes the concept of a strategy being dominated?

Question 4

Consider the following payoff matrix for a two-person zero-sum game: $ \begin{bmatrix} 3 & 1 \\ 4 & 2 \end{bmatrix} $. What is the minimax strategy for Player 2?

Question 5

If Player 1’s mixed strategy is $ (p, 1-p) $ and Player 2’s mixed strategy is $ (q, 1-q) $, how do you determine the expected payoff for Player 1 in a two-person zero-sum game?