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Consider the following game: 3 players can contribute or not to a public good. For the...

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Statistics

  1. Consider the following game: 3 players can contribute or not toa public good. For the public good to be successfully created, 2contributions are necessary (a third contribution would not addanything to the public good).
    These are the payoffs each of the three players assign to allpossible outcomes:

    3: I didn't contribute but the public good was created anyway 2:I did contribute and the public good was created
    1: I didn't contribute and the public good was not created
    0: I did contribute and the public good was not created

    The decisions are made sequentially: player 1 moves, then player2, then player 3.

    (a) Find the set of pure strategy Nash equilibria of this gameif it is played as a simultaneous move game.

    (b) Find the set of subgame perfect Nash equilibria of this gamewhen it is played sequentially.

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