You suspect that you are a price leader in the market. Moreover, you are considering expanding your operations. H.R. Shovenstuff will observe your moves and then follow, but he is more secretive so you will not know whether to price high or low after his pricing decision has been made. Using the following game tree, solve for the Nash equilibrium. High Price (5,4) Shovenstuff High Price Low Price You High Price (2,1) (6,2) Invest Low Price Invest, High Price, High Price O Invest, Low Price, High Price Invest, Low Price, Low Price O Don't Invest, High Price, High Price O Don't Invest, Low Price, High Price LOW Price (2,4) You High Price (4,4) Don't Invest High Price Shovenstuff Low Price You LOW High Price Price (8.1) (2.6) Low Price (2.1)

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
Section: Chapter Questions
Problem 4MC
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You suspect that you are a price leader in the market. Moreover, you are considering expanding
your operations. H.R. Shovenstuff will observe your moves and then follow, but he is more
secretive so you will not know whether to price high or low after his pricing decision has been
made. Using the following game tree, solve for the Nash equilibrium.
High
Price
Shovenstuff
High
Price
Low
Price
You
High
Price
(2,1) (6,2)
Invest
Low
Price
Invest, High Price, High Price
O Invest, Low Price, High Price
Invest, Low Price, Low Price
O Don't Invest, High Price, High Price
Don't Invest, Low Price, High Price
LOW
Price
(2,4)
You
High
Price
(4,4)
Don't Invest
High
Price
Low
Price
Shovenstuff
Low
Price
You
High
Price
(8,1) (2.6)
Low
Price
(2,1)
Transcribed Image Text:You suspect that you are a price leader in the market. Moreover, you are considering expanding your operations. H.R. Shovenstuff will observe your moves and then follow, but he is more secretive so you will not know whether to price high or low after his pricing decision has been made. Using the following game tree, solve for the Nash equilibrium. High Price Shovenstuff High Price Low Price You High Price (2,1) (6,2) Invest Low Price Invest, High Price, High Price O Invest, Low Price, High Price Invest, Low Price, Low Price O Don't Invest, High Price, High Price Don't Invest, Low Price, High Price LOW Price (2,4) You High Price (4,4) Don't Invest High Price Low Price Shovenstuff Low Price You High Price (8,1) (2.6) Low Price (2,1)
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