โขExercise #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
โขExercise #4. Consider a market with an incumbent, firm 1, facing the entry of a rival, firm 2. Firm 1 can make an investment, ๐พ1, to accommodate or deter the entry of firm 2. The inverse demand in this market is ๐(๐)=16โ๐ where ๐=๐1+๐2. Firms produce a homogeneous good and are Cournot competitors. Firm 1โs cost function is ๐1(๐1,๐พ1)=(4โ๐พ1)๐1+๐พ1^2/2 and firm 2โs cost is ๐2๐2=4๐2.
โขStart with the second-stage decisions.
โขQ13) Determine firm 1โs best-response functions ๐1(๐2,๐พ1)
โขQ14) Determine firm 2โs best-response functions ๐2(๐1)
โขQ15) Assuming firms 1 and 2โs best-response functions are drawn on a graph with ๐2 on the horizontal axis and ๐1 on the vertical axis, determine the effects of an increase in firm 1โs investment ๐พ1 on the firmsโ best-response functions.
โA) Firm 1โs best-response function shifts up and firm 2โs best-response function shifts up
โB) Firm 1โs best-response function shifts up and firm 2โs best-response function shifts down
โC) Firm 1โs best-response function shifts up and firm 2โs best-response function does not move
โD) Firm 1โs best-response function shifts down and firm 2โs best-response function shifts up
โE) Firm 1โs best-response function shifts down and firm 2โs best-response function shifts down
โF) Firm 1โs best-response function shifts down and firm 2โs best-response function does not move
โG) Firm 1โs best-response function does not move and firm 2โs best-response function shifts up
โH) Firm 1โs best-response function does not move and firm 2โs best-response function shifts down
โI) Firm 1โs best-response function does not move and firm 2โs best-response function does not move
โ
โขStart with the second-stage decisions.
โขQ13) Determine firm 1โs best-response functions ๐1(๐2,๐พ1)
โขQ14) Determine firm 2โs best-response functions ๐2(๐1)
โขQ15) Assuming firms 1 and 2โs best-response functions are drawn on a graph with ๐2 on the horizontal axis and ๐1 on the vertical axis, determine the effects of an increase in firm 1โs investment ๐พ1 on the firmsโ best-response functions.
โA) Firm 1โs best-response function shifts up and firm 2โs best-response function shifts up
โB) Firm 1โs best-response function shifts up and firm 2โs best-response function shifts down
โC) Firm 1โs best-response function shifts up and firm 2โs best-response function does not move
โD) Firm 1โs best-response function shifts down and firm 2โs best-response function shifts up
โE) Firm 1โs best-response function shifts down and firm 2โs best-response function shifts down
โF) Firm 1โs best-response function shifts down and firm 2โs best-response function does not move
โG) Firm 1โs best-response function does not move and firm 2โs best-response function shifts up
โH) Firm 1โs best-response function does not move and firm 2โs best-response function shifts down
โI) Firm 1โs best-response function does not move and firm 2โs best-response function does not move
โ