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Rick Sanchez (Player 1) wants to conduct an experiment on Morty Smith (Player 2), but Morty is not agreed to it. Hence Rick is trying to catch Morty and Morty is hiding from Rick. Morty has three places to hide himself, Planet Squanch, Alphabetrium or Froopyland. Hence, Rick can also search three places, Planet Squanch, Alphabetrium or Froopyland.

If Rick searches the same place where Morty hides himself, then Morty will have a negative utility and Rick will have a positive utility. If Rick searches a different place, then Morty will have a positive utility.

This game can be represented using the following 33 table:

Find a mixed strategy 1=(p1,p2,1p1p2) for Rick that will make Morty indifferent about searching in any of the three places.

Planet Squanch Alphabetrium Froopyland (-57,57) (-56,56) Planet (82,-82) Squanch Alphabetrium (-45,45) Froopyland |(-53,53) (90,-90) (-56,56) (-49,49) (81,-81) Planet Squanch Alphabetrium Froopyland (-57,57) (-56,56) Planet (82,-82) Squanch Alphabetrium (-45,45) Froopyland |(-53,53) (90,-90) (-56,56) (-49,49) (81,-81)