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X fx alue Response (click on correct answer) Firm 1 Low Price High Price Low Price ons 7-9: Two firms face the payoff matrix
7 2 Dominant strategies are evident for Firm 1 only Firm 2 only Firm 1 and Fin Neither Firm 8 2 If Firm 2s payoff when it se
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Answer #1

Question 7

Dominant strategy is evident for Firm 1 only.

This is because Firm 1 will always choose High price as the payoffs are better no matter what Firm 2 chooses. That is: 2 is better than 0 and 6 is better than 5.

The Firm 2 has no dominant strategy.

Question 8

Answer: Firm 1 prices high, Firm 2 prices high

It is very obvious that Firm 1 will play the dominant strategy of pricing high. Thus, Firm 2 will be able to maximise profits ($6) when it also prices high. It will be a Nash Equilibrium.

Question 9

Firm 1 and Firm 2 randomize

With the given changes, none of the firms will have a dominant strategy. Also, there will be no pure strategy Nash Equilibrium. The firms will have to randomise and find a Mixed Strategy Nash Equilibrium.

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