Two firms are competing by choosing their prices simultaneously. Each firm can choose either a low price or a high price. The payoff matrix of their competition is depicted in the image.

Use the indifference principles to find the mixed strategy Nash equilibrium.

(Enter your answer as a decimal number, rounded to four digits)

Probability of Firm1 choosing 'Low Price': _______

Probability of Firm1 choosing 'High Price': _______

Probability of Firm2 choosing 'Low Price': _______

Probability of Firm2 choosing 'High Price': _______

Suppose that instead of playing the mixed strategy you found above, Firm2 instead played a strategy where it chose 'Low Price' 66.86% of the time and 'High Price'33.14% of the time. Given that Firm2 is playing this alternative strategy, what are the expected payoffs to Firm1?

(Enter your answer as a decimal number, rounded to two digits)

Expected payoff to Firm1 if it chooses 'Low Price': _______

Expected payoff to Firm1 if it chooses 'High Price': _______

Based on these expected payoffs, wat strategy would Firm1 play to counter Firm2's alternative strategy? (Enter your answer as a decimal number, rounded to two digits)

Probability of Firm1 choosing 'Low Price': _______

Probability of Firm1 choosing 'High Price': _______