Bertrand’s original analysis predicts that the perfectly competitive price and output occur if there is more than one firm in a market.  Assume firms A and B are Bertrand competitors making identical products at identical cost Ci = 150qi and facing inverse market demand P = 1000 – 0.1Q.  Assume further that there are no capacity constraints, and that if the firms charge the same price, consumers split their purchases evenly between the firms.   a. Assume A and B choose prices simultaneously but repeatedly, and that both adopt the Trigger strategy.  Determine whether joint-profit maximizing is a sustainable equilibrium if the interest rate is 6% and there is a 35% probability of significant entry into the market that would eliminate future monopoly profits. b. How would your analysis change if there were three identical Bertrand competitors rather than two?  Why?

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Bertrand’s original analysis predicts that the perfectly competitive price and output occur if there is more than one firm in a market.  Assume firms A and B are Bertrand competitors making identical products at identical cost Ci = 150qi and facing inverse market demand P = 1000 – 0.1Q.  Assume further that there are no capacity constraints, and that if the firms charge the same price, consumers split their purchases evenly between the firms.  

a. Assume A and B choose prices simultaneously but repeatedly, and that both adopt the Trigger strategy.  Determine whether joint-profit maximizing is a sustainable equilibrium if the interest rate is 6% and there is a 35% probability of significant entry into the market that would eliminate future monopoly profits.

b. How would your analysis change if there were three identical Bertrand competitors rather than two?  Why?

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