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Q2 Contribution Game Consider the following game. There are four players. Each player 1' [Where 1' = 1,2,3,4] si multaneously and independently selects her contribution

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Q2 Contribution Game Consider the following game. There are four players. Each player 1' [Where 1' = 1,2,3,4] si multaneously and independently selects her contribution a; E [i], 10]. Each player gets a benet related to all of the players choices of sj's, but incurs a cost related to her own contribution 31-. In particular, the payoff to each player i is given by: u1(sl, 52, 53, 54] = .91 + 52 + 53 + 54 0.53? ush 52, 53, 54] = 31 + 32 + 53 + 84 {1.53% 2 n3(31,52, 33, 54] = 31 + 32 + 53 + 54 H.553 ads], 52, 33, 54] = 31 + 52 + 53 + 5.1 {1.533 (a) Find best response nictions for all players. (b) Find all Nash equilibria [if any). (0) Are there any dominated strategies? (d) Are there any dominant strategies

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