Subgames • At each node where a player makes a decision, we can think about the "subgame" starting at that node • A subgame is the portion of the tree following a particular node • • • How many subgames does our first sequential move example have? How many subgames does our entry game have? How many subgames does the game on the right have? • What are its Nash equilibria? Player 1 (1,4) T Player 2 U B (5,2) (3,3) P Player 1 D L 9 (2,0) Player 2 R (6,2)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Subgames
•
•
•
At each node where a player
makes a decision, we can think
about the "subgame" starting at
that node
A subgame is the portion of the
tree following a particular node
How many subgames does our
first sequential move example
have?
• How many subgames does our
entry game have?
•
How many subgames does the
game on the right have?
•
What are its Nash equilibria?
Player 1
(1,4)
T
Player 2
U
B
(5,2)
(3,3)
р
Player 1
D
L
9
(2, 0)
Player 2
R
(6, 2)
Transcribed Image Text:Subgames • • • At each node where a player makes a decision, we can think about the "subgame" starting at that node A subgame is the portion of the tree following a particular node How many subgames does our first sequential move example have? • How many subgames does our entry game have? • How many subgames does the game on the right have? • What are its Nash equilibria? Player 1 (1,4) T Player 2 U B (5,2) (3,3) р Player 1 D L 9 (2, 0) Player 2 R (6, 2)
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