3. Two best friends, Carly and Homer, have plans to meet up at 4pm to study. Carly prefers to meet off campus at Tim Hortons, while Homer prefers to meet on campus in the Library. Both Carly and Homer would prefer to study together as opposed to studying apart. It is 3:30pm and neither Carly nor Homer can remember where they said they would meet. (note: Homer does not have a cell phone or computer, so they can not communicate). a) Create a payoff matrix for this game for players Carly and Homer. Note that, if Carly studies alone, she would prefer to study off campus and if Homer studies alone, he would prefer to study in the library. You will need to come up with your own payoff values. You must justify your choices with a short explanation. b) Does this game have a Nash Equilibrium? If so what is/are they?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
Problem 18P
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3. Two best friends, Carly and Homer, have plans to meet up at 4pm to study. Carly prefers to meet off
campus at Tim Hortons, while Homer prefers to meet on campus in the Library. Both Carly and Homer
would prefer to study together as opposed to studying apart. It is 3:30pm and neither Carly nor Homer can
remember where they said they would meet. (note: Homer does not have a cell phone or computer, so they
can not communicate).
a)
Create a payoff matrix for this game for players Carly and Homer. Note that, if Carly studies
alone, she would prefer to study off campus and if Homer studies alone, he would prefer to study in the
library. You will need to come up with your own payoff values. You must justify your choices with a short
explanation.
b)
Does this game have a Nash Equilibrium? If so what is/are they?
Transcribed Image Text:3. Two best friends, Carly and Homer, have plans to meet up at 4pm to study. Carly prefers to meet off campus at Tim Hortons, while Homer prefers to meet on campus in the Library. Both Carly and Homer would prefer to study together as opposed to studying apart. It is 3:30pm and neither Carly nor Homer can remember where they said they would meet. (note: Homer does not have a cell phone or computer, so they can not communicate). a) Create a payoff matrix for this game for players Carly and Homer. Note that, if Carly studies alone, she would prefer to study off campus and if Homer studies alone, he would prefer to study in the library. You will need to come up with your own payoff values. You must justify your choices with a short explanation. b) Does this game have a Nash Equilibrium? If so what is/are they?
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