Question

Solve the following game by using the dominance method.
PLAYER B
B1 B2 B3
PLAYER A Al
A2
A3
3
6
8
—3
3
8
4
3
6

30 Jun 2018
Answer :
Word Count : 687

To solve this game using the dominance method, we need to analyze the payoff matrix for both players, A and B. The goal of the dominance method is to eliminate the dominated strategies for both players (if any), simplifying the game and making it easier to find the optimal strategy for both players.

The given payoff matrix is:

  B1 B2 B3
A1 3 6 8
A2 -3 3 8
A3 4 3 6

Step 1: Identifying Dominated Strategies for Player A

To determine if any strategies for Player A are dominated, we compare the payoffs for each row (A1, A2, A3).

  • Compare A1 vs A2:
    • For B1: A1 has a payoff of 3, while A2 has a payoff of -3. So, A1 is better than A2 for
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