The Alpha and Beta companies are the only producers of digital cameras. They must both decide whether to invest in a new production process. Therefore, each company must make the decisions to invest or not invest. Profits for both companies are affected by the decisions on what decisions they might make and the payoffs in billions of dollars are given in the table below. Company Beta Invest Do Not Invest Invest $13 $2 $15 $0 Company Alpha Do Not Invest $10 $5 $13 $2 Suppose we have the same payoff matrix except now Company Alpha makes the first move by deciding to go first with the decision to invest. a. Explain the essential difference between games in which moves are simultaneous and those in which moves are sequential. b. Construct (draw) an extensive-form game diagram that summarizes all the information of the game and provide explanations. c. What is the Nash equilibrium for this sequential game? Use your diagram from part b to answer this question. d. Is there a first-mover advantage or first-mover disadvantage in this game? Explain.

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter31: Capital Markets
Section: Chapter Questions
Problem 14E
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The Alpha and Beta companies are the only producers of digital cameras. They
must both decide whether to invest in a new production process. Therefore,
each company must make the decisions to invest or not invest. Profits for both
companies are affected by the decisions on what decisions they might make and the
payoffs in billions of dollars are given in the table below.
Company Beta
Invest
Do Not Invest
Invest
$13
$2
$15
$0
Company
Alpha
Do Not
Invest
$10
$5
$13
$2
Suppose we have the same payoff matrix except now Company Alpha
makes the first move by deciding to go first with the decision to invest.
a. Explain the essential difference between games in which moves are
simultaneous and those in which moves are sequential.
b. Construct (draw) an extensive-form game diagram that summarizes all
the information of the game and provide explanations.
c. What is the Nash equilibrium for this sequential game? Use your
diagram from part b to answer this question.
d. Is there a first-mover advantage or first-mover disadvantage in this
game? Explain.
Transcribed Image Text:The Alpha and Beta companies are the only producers of digital cameras. They must both decide whether to invest in a new production process. Therefore, each company must make the decisions to invest or not invest. Profits for both companies are affected by the decisions on what decisions they might make and the payoffs in billions of dollars are given in the table below. Company Beta Invest Do Not Invest Invest $13 $2 $15 $0 Company Alpha Do Not Invest $10 $5 $13 $2 Suppose we have the same payoff matrix except now Company Alpha makes the first move by deciding to go first with the decision to invest. a. Explain the essential difference between games in which moves are simultaneous and those in which moves are sequential. b. Construct (draw) an extensive-form game diagram that summarizes all the information of the game and provide explanations. c. What is the Nash equilibrium for this sequential game? Use your diagram from part b to answer this question. d. Is there a first-mover advantage or first-mover disadvantage in this game? Explain.
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