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โ€ขExercise #4. Consider a market with an incumbent, firm 1, facing the entry of a rival, firm 2. Firm 1 can make an inves

Posted: Sun Jun 05, 2022 11:22 am
by answerhappygod
โ€ขExercise #4. Consider a market with an incumbent, firm 1, facing the entry of a rival, firm 2. Firm 1 can make an investment, ๐พ1, to accommodate or deter the entry of firm 2. The inverse demand in this market is ๐‘(๐‘„)=16โˆ’๐‘„ where ๐‘„=๐‘ž1+๐‘ž2. Firms produce a homogeneous good and are Cournot competitors. Firm 1โ€™s cost function is ๐‘1(๐‘ž1,๐พ1)=(4โˆ’๐พ1)๐‘ž1+๐พ1^2/2 and firm 2โ€™s cost is ๐‘2๐‘ž2=4๐‘ž2.
โ€ขStart with the second-stage decisions.
โ€ขQ13) Determine firm 1โ€™s best-response functions ๐‘ž1(๐‘ž2,๐พ1)
โ€ขQ14) Determine firm 2โ€™s best-response functions ๐‘ž2(๐‘ž1)
โ€ขQ15) Assuming firms 1 and 2โ€™s best-response functions are drawn on a graph with ๐‘ž2 on the horizontal axis and ๐‘ž1 on the vertical axis, determine the effects of an increase in firm 1โ€™s investment ๐พ1 on the firmsโ€™ best-response functions.
โ€“A) Firm 1โ€™s best-response function shifts up and firm 2โ€™s best-response function shifts up
โ€“B) Firm 1โ€™s best-response function shifts up and firm 2โ€™s best-response function shifts down
โ€“C) Firm 1โ€™s best-response function shifts up and firm 2โ€™s best-response function does not move
โ€“D) Firm 1โ€™s best-response function shifts down and firm 2โ€™s best-response function shifts up
โ€“E) Firm 1โ€™s best-response function shifts down and firm 2โ€™s best-response function shifts down
โ€“F) Firm 1โ€™s best-response function shifts down and firm 2โ€™s best-response function does not move
โ€“G) Firm 1โ€™s best-response function does not move and firm 2โ€™s best-response function shifts up
โ€“H) Firm 1โ€™s best-response function does not move and firm 2โ€™s best-response function shifts down
โ€“I) Firm 1โ€™s best-response function does not move and firm 2โ€™s best-response function does not move
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