Little Kona is a small coffee company that is considering entering a market dominated by Big Brew. Each company’s profit depends on whether Little Kona enters and whether Big Brew sets a high price or a low price: a) Does either player in this game have a dominant strategy? b)  Does your answer to part (a) help you figure out what the other player should do? What is the Nash equilibrium? Is there only one? c)  Big Brew threatens Little Kona by saying, “If you enter, we’re going to set a low price, so you had better stay out.” Do you think Little Kona should believe the threat? Why or why not?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Little Kona is a small coffee company that is considering entering a market dominated by Big Brew. Each company’s profit depends on whether Little Kona enters and whether Big Brew sets a high price or a low price:

a) Does either player in this game have a dominant strategy?

b)  Does your answer to part (a) help you figure out what the other player should do? What is the Nash equilibrium? Is there only one?

c)  Big Brew threatens Little Kona by saying, “If you enter, we’re going to set a low price, so you had better stay out.” Do you think Little Kona should believe the threat? Why or why not?

Big Brew
High Price
Low Price
Brew makes
Brew makes
$3 million
$1 million
Enter
Kona makes
Kona loses
Little
$2 million
$1 million
Kona
Brew makes
Brew makes
$7 million
$2 million
Don't
Enter
Kona makes
Kona makes
zero
zero
Transcribed Image Text:Big Brew High Price Low Price Brew makes Brew makes $3 million $1 million Enter Kona makes Kona loses Little $2 million $1 million Kona Brew makes Brew makes $7 million $2 million Don't Enter Kona makes Kona makes zero zero
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