Mohamed and Kate each pick an integer number between 1 and 3 (inclusive). They make their choices sequentially.Mohamed is the first player and Kate the second player. If they pick the same number each receives a payoff equal to the number they named. If they pick a different number, they get nothing. What is the SPE of the game? Select one: a. Mohamed chooses 3 and Kate is indifferent between 1, 2 and 3. b. Mohamed chooses 3 and Kate chooses 1 if Mohamed chooses 1, 2 if Mohamed chooses 2, and 3 if Mohamed chooses 3. O c. Mohamed chooses 1 and Kate chooses 1 if Mohamed chooses 1,2 if Mohamed chooses 2 and 3 if Mohamed chooses 3. Od. Mohamed chooses 3 and Kate chooses 3.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.12P
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Mohamed and Kate each pick an integer number between 1 and 3 (inclusive). They make their choices
sequentially.Mohamed is the first player and Kate the second player. If they pick the same number each receives a payoff
equal to the number they named. If they pick a different number, they get nothing. What is the SPE of the game?
Select one:
a. Mohamed chooses 3 and Kate is indifferent between 1, 2 and 3.
b. Mohamed chooses 3 and Kate chooses 1 if Mohamed chooses 1, 2 if Mohamed chooses 2, and 3 if Mohamed
chooses 3.
O c. Mohamed chooses 1 and Kate chooses 1 if Mohamed chooses 1,2 if Mohamed chooses 2 and 3 if Mohamed
chooses 3.
Od. Mohamed chooses 3 and Kate chooses 3.
Transcribed Image Text:Mohamed and Kate each pick an integer number between 1 and 3 (inclusive). They make their choices sequentially.Mohamed is the first player and Kate the second player. If they pick the same number each receives a payoff equal to the number they named. If they pick a different number, they get nothing. What is the SPE of the game? Select one: a. Mohamed chooses 3 and Kate is indifferent between 1, 2 and 3. b. Mohamed chooses 3 and Kate chooses 1 if Mohamed chooses 1, 2 if Mohamed chooses 2, and 3 if Mohamed chooses 3. O c. Mohamed chooses 1 and Kate chooses 1 if Mohamed chooses 1,2 if Mohamed chooses 2 and 3 if Mohamed chooses 3. Od. Mohamed chooses 3 and Kate chooses 3.
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