Consider an odd type of student who prefers to study alone except when the group is large. We have four of these folks: Melissa, Josh, Samina, and Wei. Melissa and Josh are deciding between studying in the common room in their dorm (which we will denote D) and the library (denoted L). Samina and Wei are choosing between the library and the local cafe (denoted C). If someone is the only person at a location, then his or her payoff is 6. If he or she is one of two people at a location, then the payoff is 2. If he or she is one of three people, then the payoff is 1. If all four end up together, then the payoff is 8.a. Is it a Nash equilibrium for Melissa and Josh to study in the commonroom and for Samina and Wei to study in the cafe?b. Is it a Nash equilibrium for Josh to study in the common room, Saminato study in the cafe, and Melissa and Wei to study in the library?c. Find the Nash equilibria.
Consider an odd type of student who prefers to study alone except when the group is large. We have four of these folks: Melissa, Josh, Samina, and Wei. Melissa and Josh are deciding between studying in the common room in their dorm (which we will denote D) and the library (denoted L). Samina and Wei are choosing between the library and the local cafe (denoted C). If someone is the only person at a location, then his or her payoff is 6. If he or she is one of two people at a location, then the payoff is 2. If he or she is one of three people, then the payoff is 1. If all four end up together, then the payoff is 8.
a. Is it a Nash equilibrium for Melissa and Josh to study in the common
room and for Samina and Wei to study in the cafe?
b. Is it a Nash equilibrium for Josh to study in the common room, Samina
to study in the cafe, and Melissa and Wei to study in the library?
c. Find the Nash equilibria.
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