Two firms, 1 and 2 produce a homogeneous good.

Firms have no fixed cost and produce at constant marginal cost of 10.

By 1 and 2 we denote the quantities produced, respectively, by firm 1 and 2.

The inverse demand function is P(Q) = 200 - Q by probability 2 3 and P(Q) = 200 - 2Q by probability 1 3 , where Q = 1 + 2.

Firms 1 and 2 simultaneously choose the quantities to produce.

Firm 1 knows if the demand is high or low but firm 2 does not.

Find the Bayesian Nash equilibria of the game.