What Nash equilibria exist in this game, if any?

Obias, Rudie. 2016. “JetBlue Offers Passengers a Free Trip—If They Can All Agree on One
Destination.” Mental Floss February 25.
http://www.mentalfloss.com/article/76099/jetblue-offers-passengers-free-trip-if-theycan-all-agree-one-destination
a. Describe the game that these passengers are playing. What are the strategies for each
player? What are the payoffs? What are the risks to each player in this game?
b. What Nash equilibria exist in this game, if any? (Note: Ignore the outcome in the video
and how it is arrived at. Focus your explanation on the theoretical game.) Are there any
mixed, maximin, or minimax strategies?
c. Is the actual outcome of the game different from the game you set up? Why or why not?
What does this tell us about human behavior? What does this tell us about economic
theory?

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