What is the nash equilibrium or equilibria

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Jack and Jill want a treehouse to play in. They have to decide simultaneously whether to build or not to build. Each individual who builds, bears a cost of 3. They both have acess to the treehouse once it is built. If only one of them builds the treehouse, they each derive a utility of 2. If both of them build the treehouse, they each derive a utility of 4. If the treehouse is not built, the each derive a utility of 0.

a) Draw the payoff matrix.

b) What is Jack's strategy? What is Jill's strategy? What is the Nash equilibrium or equilibria?

c) Does this game resemble the prisoner's dilemna, the battle of the sexes, or chicken? Explain.

Reference no: EM131387632

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