Consider a divide four objects game in which player 1 proposes a division scheme ((4,0), (3,1),...

 

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Consider a "divide four objects game" in which player 1 proposes a division scheme ((4,0), (3,1), (2,2), (1,3) or (0,4)) and player 2 either accepts it or rejects. In the former case, the proposed division takes place and in the latter both players get nothing. a) Find the number of different pure strategy Nash equilibria of this game. b) Find the number of SPE among these Nash equilibria. Consider a "divide four objects game" in which player 1 proposes a division scheme ((4,0), (3,1), (2,2), (1,3) or (0,4)) and player 2 either accepts it or rejects. In the former case, the proposed division takes place and in the latter both players get nothing. a) Find the number of different pure strategy Nash equilibria of this game. b) Find the number of SPE among these Nash equilibria.

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