Suppose that Sony Corporation has developed a new all in one, easy to use, big screen computer / TV (‘BCTV’). This BCTV is unique in the market and Sony estimates that the demand for this new BCTV is: P = 13 – Q, where P is in thousands of dollars and Q is in thousands of BCTVs. The total cost of producing the BCTV is given by TC = 2 + 7Q where TC is in thousands of dollars. Samsung is considering entering the same market with its own BCTV and faces the same cost curve as Sony. Currently Sony has the capacity to produce 2000 units (i.e., Q = 2). Sony is considering whether to expand its capacity to produce 4000 units (i.e., Q = 4). This would double fixed costs for Sony. Samsung would enter the market with 2000 units of capacity if they entered the market. Both firms plan to use all of their capacity and sell at the resulting market price.
Suppose that Sony Corporation has developed a new all in one, easy to use, big screen computer / TV (‘BCTV’). This BCTV is unique in the market and Sony estimates that the demand for this new BCTV is: P = 13 – Q, where P is in thousands of dollars and Q is in thousands of BCTVs. The total cost of producing the BCTV is given by TC = 2 + 7Q where TC is in thousands of dollars. Samsung is considering entering the same market with its own BCTV and faces the same cost curve as Sony. Currently Sony has the capacity to produce 2000 units (i.e., Q = 2). Sony is considering whether to expand its capacity to produce 4000 units (i.e., Q = 4). This would double fixed costs for Sony. Samsung would enter the market with 2000 units of capacity if they entered the market. Both firms plan to use all of their capacity and sell at the resulting market price.
a. Construct the payoff matrix for this game
b. Does either firm have a dominant strategy?
c. What is the Nash equilibrium?
d. If Sony announces in the Wall Street Journal that they will be expanding capacity, will Samsung enter the industry? Explain.
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