Suppose there is only 1 consumer who has a demand of a product up to 1 unit per period. There are 2 periods. Her willingness to pay is $10 per unit. There are two firms, I and E. Firm I is the incumbent and is the only producer in the 1st period. Firm E is the potential entrant with 0 marginal cost but must incur

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2.b
Show that pi = 8 will not do the job. (Hint: The question is whether a
high-cost incumbent find mimicking this strategy profitable.)
Transcribed Image Text:2.b Show that pi = 8 will not do the job. (Hint: The question is whether a high-cost incumbent find mimicking this strategy profitable.)
Suppose there is only 1 consumer who has a demand of a product up to 1 unit per
period. There are 2 periods. Her willingness to pay is $10 per unit.
There are two firms, I and E. Firm I is the incumbent and is the only producer in
the 1s period. Firm E is the potential entrant with 0 marginal cost but must incur
an entry cost of $1 if entering this market.
Firm I knows its marginal cost (c) but Firm E does not know for sure: it knows c is
either 0 or 5. Without any further information/signal, Firm E believes the
probability for either case is 50%.
The timing of the game is the following:
• Firm I sets the price in the 1" period (pi);
• Firm E makes its entry decision;
• Were “not enter" chosen, Firm I will remain as a monopoly in the 2"d
period and set the price at $10.
Were “enter" chosen, the two firms engage in Bertrand competition in the
2nd period.
Lastly, assume both firms have a discount factor of 0.8.
Transcribed Image Text:Suppose there is only 1 consumer who has a demand of a product up to 1 unit per period. There are 2 periods. Her willingness to pay is $10 per unit. There are two firms, I and E. Firm I is the incumbent and is the only producer in the 1s period. Firm E is the potential entrant with 0 marginal cost but must incur an entry cost of $1 if entering this market. Firm I knows its marginal cost (c) but Firm E does not know for sure: it knows c is either 0 or 5. Without any further information/signal, Firm E believes the probability for either case is 50%. The timing of the game is the following: • Firm I sets the price in the 1" period (pi); • Firm E makes its entry decision; • Were “not enter" chosen, Firm I will remain as a monopoly in the 2"d period and set the price at $10. Were “enter" chosen, the two firms engage in Bertrand competition in the 2nd period. Lastly, assume both firms have a discount factor of 0.8.
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