Consider the following game. Player A and B simultaneously choose to work on either Project 1 (P1) or Project 2 (P2). The payoffs are as follows: if both players choose P1 the payoffs are 6 to A and 2 to B; if A chooses P1 and B chooses P2 the payoffs are 0 to each party; likewise, if A chooses P2 and B chooses P1 the payoffs are 0 to each party; and, finally, if A chooses P2 and B P2 the payoffs are 3 to both players. What are all of the Nash equilibria of this game? a. (P1, P1) b. (P1, P1), (P2, P2) c. (P1, P1), (P2, P2) and (Player A plays P1 with probability 1/3, Player B plays P1 with probability 1/2) d. (P1, P1), (P2, P2) and (Player A plays P1 with probability 3/5, Player B plays P1 with probability 1/3) e. (P1, P2), (P2, P2) and (Player A plays P1 with probability 1/2, Player B plays P1 with probability 2/3)

Consider the following game in which Sally can play T or B and John chooses between L or R. Each player makes their choice simultaneously. If Sally chooses T and John chooses L ,Sally gets a payoff of 3 and John has a payoff of 7. If Sally plays T and John R, Sally’s payoff is 2 and John gets 1. If Sally Chooses B and John L, the payoffs are 1 to Sally and 2 to John. Finally, if Sally chooses B and John R, the payoffs are 4 to Sally and 3 to John. What are the Nash equilibria of the game?Group of answer choices(T,R)(B,R)(T,L) and (B,R)(T,L)None of the above

Consider two restaurants, R1 and R2, simultaneously decide what sort of cuisine they will focus on, Thai (T) or Vietnamese (V). If both opt for T, the payoffs are 10 each. If both opt for V, the payoffs are 20 each. If R1 plays T and R2 V the payoffs are (30, 40). If R1 plays V and R2 T, the payoffs are (50, 60) for R1 and R2, respectively. What are the Nash equilibria?Group of answer choices(V, V)(T, T)(T, T) and (V, V); this is a coordination game(T, V) and (V, T); this is a coordination game.None of the above.

NASH equilibrium

In a 3-player game, S subscript 1 equals S subscript 2 equals S subscript 3 equals left square bracket 0 comma 5 right square bracket. Each player obtains a payoff of 1 if her strategy equals the absolute value of the difference of the strategies of the other two players, and a payoff of 0 otherwise. Choose all of the following strategy profiles which are Nash equilibria. (0,0,0) (4,4,4) (2,2,4) (2,1,3) (2,2,0) (0,2,4)

Consider the following game represented in normal form. Terry and Kerry are roommates who must make decisions about cleaning. Terry’s payoff is the first number in each cell and a higher number is a better outcome. Assume that Terry makes his decision first, if so what is the Nash Equilibrium of this game:   Kerry  CleanDon’t cleanTerryClean( 8, 2 )( 3, 5 )Don’t clean( 10, 3 )( 4, 1 )Group of answer choicesTerry will clean and Kerry will not clean.Terry will not clean and Kerry will not clean.Terry will not clean and Kerry will clean.Terry will clean and Kerry will clean.More information is required to answer this question.