required in order for a company's project to be successful (for example, each player could be a different division or department with the company). Player 1 Player 2 Player 3 Player 4 Act Act Act Act 10 10 10 Quit Quit Quit Quit 10 -X- -X -X

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.7P
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In the sequential production game shown below, the actions of four players are
required in order for a company's project to be successful (for example, each player
could be a different division or department with the company).
Player 1
Player 2
Player 3
Player 4
Act
Act
Act
Act
10
10
10
Quit
Quit
Quit
Quit
10
-X
-X
-X
-X
-X
-X
Suppose x = 5,000 (payoffs are -5,000). Suppose player 1 believes that Player 4 will
quit with probability p. How does this change the game?
%3D
O a) If 0 < p < 1, Player 1 will act
O b) If p > 0.002, Player 1 will quit.
O c) If p > 0, Player 1 will quit
d) The value of p is irrelevant to Player 1
O o o o
Transcribed Image Text:In the sequential production game shown below, the actions of four players are required in order for a company's project to be successful (for example, each player could be a different division or department with the company). Player 1 Player 2 Player 3 Player 4 Act Act Act Act 10 10 10 Quit Quit Quit Quit 10 -X -X -X -X -X -X Suppose x = 5,000 (payoffs are -5,000). Suppose player 1 believes that Player 4 will quit with probability p. How does this change the game? %3D O a) If 0 < p < 1, Player 1 will act O b) If p > 0.002, Player 1 will quit. O c) If p > 0, Player 1 will quit d) The value of p is irrelevant to Player 1 O o o o
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