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# Rick and Kate want to go on a date Rick wants to go for a rock concert while Kate wants to go for a movie Rick values going to the concert at \$100 while Kate values watching

### Rick and Kate want to go on a date Rick wants to go for a rock concert while Kate wants to go for a movie Rick values going to the concert at \$100 while Kate values watching

Rick and Kate want to go on a date. Rick wants to go for a rock concert while Kate wants to go for a movie. Rick values going to the concert at \$100 while Kate values watching a movie at \$50. What is the Nash equilibrium in this situation?

18) You and your sister share a room. Your sister prefers sleeping with all windows closed while you prefer sleeping with at least one window open to let in some fresh air. Since none of you are willing to give up your own preferences, you end up fighting every night. Is there a possible solution to this problem if you value keeping your windows open at night for \$100 while your sister values keeping windows closed at night for \$80?

abhinav behal 15-Feb-2020