2. (50 points) Each of the four players announces a real number between 0 and 40. Let a₁ be the announcement of Player 1

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2 50 Points Each Of The Four Players Announces A Real Number Between 0 And 40 Let A Be The Announcement Of Player 1 1 (167.51 KiB) Viewed 37 times

2. (50 points) Each of the four players announces a real number between 0 and 40. Let a₁ be the announcement of Player 1, a2 be the announcement of Player 2, a3 be the announcement of Player 3, a4 be the announcement of Player 4. The payoffs are determined as follows: • If a₁ + a₂ + a3 + a4 ≤ 40 then u; = a₁ for all i € N = {1,2,3,4}; • If a₁ + a₂ + a3 + a4 > 40 then u = 0 for all i E N = {1,2,3,4}. Each player only cares for her own payoff. Specify whether the following four strategy profiles are Nash Equilibrium or not for this game. Show your work. (10;10;10;10), (40;0;0;0), (15;5;0;15), (10;30;30;40)