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In a game with 4 players, each player can press 0 or 2. If all players press 2, ...

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In a game with 4 players, each player can press 0 or 2. If all players press 2, the pool grows to $8 and is split equally among the 4 players. If some players press 2 while the other players press 0, the players who press 2 get $4 each and the others get nothing. If all players press 0, they each get $1. Is there a dominant strategy, and if so, what is it? If there is a dominant strategy, type the number they would press (i.e. do not include any words or other symbols). If there is not a dominant strategy, type NA.

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