1) Consider technology adoption decisions of two firms. Firm A has two possible types, either high or low costs, with associated probabilities 2/3 and 1/3. Firm A observes its own type, but firm B cannot observe it. Graphically, firm A knows which payoff matrix firms are playing, while firm B can only assign a probability 2/3 or1/3 to playing the left-hand (right- hand) matrix.
Figure: technology adoption
a) Identify the strategy space of each firm?
b) Construct the Bayesian normal-form representation of the incomplete information game and determine the Bayesian Nash equilibrium?
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