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1 . In a game, each of two players can volunteer some of their spare time planting and cleaning up the community garden. They both

1. In a game, each of two players can volunteer some of their spare time planting and cleaning up the community garden. They both like a nicer garden and the garden is nicer if they volunteer more time to work on it. However, each would rather that the other person do the volunteering. Suppose that each player can volunteer 0,1,2,3, or 4 hours. If player 1 volunteers x hours and 2 volunteers y hours, then the resultant garden gives each of them a utility payoff equal to sqrt(x + y) Each player also gets disutility from the work involved in gardening. Suppose that player gets a disutility equal to x (and player 2 likewise gets a disutility equal to y). Hence, the total utility of player 1 is sqrt(x + y) x, and that of player 2 is sqrt(x + y)- y.
question: determine the nash equilirbia of the game

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