There are two coffee companies (company A and company B) in the market. A research institute approached each of these companies with the request of funding a new project on health benefits of coffee. It looks like this research will confirm the benefits of coffee and therefore, give boost to coffee consumption. However, the project is costly. If only one firm funds the project, then it will get $1 million of profit while another firm will get $10 million (the firm- sponsor will have to endure the cost of the research while another firm will benefit from the increased demand). If each firm funds the project, each firm makes $5 million profit. If neither, each receives no profit at all. a. Copy and fill in the payoff matrix below. Company B Fund Don't Fund Company | Fund A Don't Fund b. Is there a dominant strategy for each firm? Explain. c. Find the Nash equilibrium outcome of this game (if any exists).

Principles of Microeconomics (MindTap Course List)
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ISBN:9781305971493
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter17: Oligopoly
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There are two coffee companies (company A and company B) in the
market. A research institute approached each of these companies
with the request of funding a new project on health benefits of
coffee. It looks like this research will confirm the benefits of coffee
and therefore, give boost to coffee consumption. However, the
project is costly. If only one firm funds the project, then it will get $1
million of profit while another firm will get $10 million (the firm-
sponsor will have to endure the cost of the research while another
firm will benefit from the increased demand). If each firm funds the
project, each firm makes $5 million profit. If neither, each receives
no profit at allI.
a. Copy and fill in the payoff matrix below.
Company B
Fund
Don’t Fund
Company Fund
A
Don't
Fund
b. Is there a dominant strategy for each firm? Explain.
c. Find the Nash equilibrium outcome of this game (if any exists).
Transcribed Image Text:There are two coffee companies (company A and company B) in the market. A research institute approached each of these companies with the request of funding a new project on health benefits of coffee. It looks like this research will confirm the benefits of coffee and therefore, give boost to coffee consumption. However, the project is costly. If only one firm funds the project, then it will get $1 million of profit while another firm will get $10 million (the firm- sponsor will have to endure the cost of the research while another firm will benefit from the increased demand). If each firm funds the project, each firm makes $5 million profit. If neither, each receives no profit at allI. a. Copy and fill in the payoff matrix below. Company B Fund Don’t Fund Company Fund A Don't Fund b. Is there a dominant strategy for each firm? Explain. c. Find the Nash equilibrium outcome of this game (if any exists).
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