Represent the following strategic interaction using a payoff matrix. A couple (a she and a he) is going out for an evening. They have two options: watching a football match or going to an opera. Unfortunately his mobile phone runs out of battery. Unable to reach each other, each of them needs to go to one of the possible venues without knowing where his/her partner has gone. Spending the evening alone (whether at the football or the opera) is the worst outcome for both of them. Conditional on going out together, she prefers football to opera while he prefers opera to football. Make “she” Player 1 when writing the payoff matrix.

Consider the below payoff matrix for a two-player Battle of the Sexes game. Player 1 has a clear preference for soccer while Player 2 derives more satisfaction from going to watch ballet. The two versions of the game differ by how much one appreciates the presence of the other. Which of the following statement is TRUE? The Married Phase of this game has a mixed-strategy Nash equilibrium where Player 1 chooses Soccer 3/7 of the times and Player 2 chooses Soccer 4/7 of the times The Honeymoon Phase of this game has a mixed-strategy Nash equilibrium where Player 1 chooses Soccer 4/7 of the times and Player 2 chooses Soccer 3/7 of the times The Honeymoon Phase of this game has a mixed-strategy Nash equilibrium where both players choose Soccer 3/7 of the times This game does not have any mixed-strategy Nash equilibria

(In this and all other questions in which a game matrix is given, Player 1 chooses the row, Player 2 chooses the column, and if there is a Player 3, she chooses the matrix.)  restaurant cricket restaurant  8, X 0, 5 cricket  1, 12 10, 7We say that Players 1 and 2 meet if and only if they choose the same strategy. Suggest a value in the range  such that the above game matrix reflects that- Player 1 prefers being at cricket over being at the restaurant, while Player 2 prefers being at the restaurant over being at cricket, and- each player prefers meeting at a location over being alone at that location, and- meeting is more important to Player 1 than being in their preferred location, and- being at their preferred location is more important to Player 2 than meeting

In the game matrix below, the first payoff in each pair goes to player A who chooses the row, and the second payoff goes to player B, who chooses the column. Let a, b, c, and d be positive constants. Left；Top a,1 ，Bottom 1.c Right：Top b.l，Bottom 1,d If player A chooses Bottom and player B chooses Right in a Nash equilibrium, then we know that

With a dominant strategyGroup of answer choicesA player receives a higher payoff than they would receive if the adopt an alternative strategy, regardless as to the action of their rival (the other player).A player minimises the payoff of its rival or rivals.None of the other answers are correct.A player does well, but could do better, provided the other chose the more 'cooperative' strategyA player always receives the highest possible payoff available in the game consider all of the payoffs available under any combination of player actions.

Consider the game shown in the payoff matrix below. Assume this is a simultaneous game played only once, and players do not know what the other player is going to choose.Payoff Matrix for Two FirmsFirm B: Left Firm B: RightFirm A: Top $4 , $2 $3 , $3Firm A: Bottom $2 , $1 $1 , $0 Does Firm A have a dominant strategy? If so, what is it?Does Firm B have a dominant strategy? If so, what is it?Which outcomes are a Nash Equilibrium in this game? (If applicable, choose the option that includes all Nash Equilibria.)