There are two players, called Row and Column, who play a game that ...

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There are two players, called Row and Column, who play a game that can last two periods. In the first period they simultaneously choose actions F or C. If they both choose F then the game continues and they move to the second period. If at least one player chooses C the game ends and they get the payoffs in the table below F C F continue (2,0) C (0,2) (0,0) After playing (F,F) in the first period, the players again simultaneously choose F or C in the second period and get the payoffs below. (The game cannot continue beyond the second period.) F C F (-2,-2) (1,-1) C (-1,1) (-1,-1) Find all the subgame perfect equilibria. Describe the players' strategies at Nash equilibrium of this game that is not a subgame perfect equilibrium.

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