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Question: ralph and jack are both stranded on an island to...

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Ralph and Jack are both stranded on an island. To support themselves they can either hunt pigs or gather fruit. To hunt a pig requires cooperation, but they can gather fruit on their own. If they both hunt then they will each gain 5 days of food. If they both gather fruit, then they will each gain 2 days of food. If only one gathers fruit, then that person will gain 3 days of food, and the one who hunted will get nothing. The complete game matrix is given below. Ralph Hunt (5,5) (3,0) Gather (0,3) (2,2) Hunt Jack Gather a. Find any Nash equilibria for this game. b. Find any Pareto inferlor outcomes for this game. c. Classify this game as Prisoners Dilemma, Chicken, Battle of the Sexes, or none of these named games.

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