Are there any dominant strategies

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Reference no: EM131424623

Consider the following game. There are four players. Each player i (where i = 1, 2, 3, 4) si- multaneously and independently selects her contribution si ∈ [0, 10]. Each player gets a benefit related to all of the players choices of sj’s, but incurs a cost related to her own contribution si. In particular, the payoff to each player i is given by: u i ( s 1 , s 2 , s 3 , s 4 ) = s 1 + s 2 + s 3 + s 4 − 1 s 2i 2

(a) Find all Nash equilibria (if any)

(b) Are there any dominated strategies?

Reference no: EM131424623

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