please do it correctly will upvote

1. Consider a two person game played by a father and son. They can each choose to attend a football match or the theatre. Their payoffs for each choice are given in the payoff matrix below with the father's payoff listed first and higher values are preferred. Son Football Theatre Father 3,2 1,1 Football Theatre 0,0 2,4 (a) Interpret the payoffs and the game structure. What do they tell us about the preferences of the players? [2%] (b) Explain any dominant strategies in this game. Find any pure strategy Nash equilibrium/Nash equilibria. [3%] (c) Find the mixed strategy Nash equilibrium for this game. Write down the best response function for each player and draw these functions in a diagram which identifies all the Nash equilibria for this game. [10%] (d) In the mixed strategy Nash equilibrium, what is the probability of the zero-payoffs outcome in which the father chooses to attend the theatre and the son chooses to attend the football match? [2%] (e) What are the expected payoffs for the father and son in the mixed strategy Nash equilibrium? Comment on your result. [3%] nogo wa ohoorun the following aboi no goodo ot throo difforont prioon 1. Consider a two person game played by a father and son. They can each choose to attend a football match or the theatre. Their payoffs for each choice are given in the payoff matrix below with the father's payoff listed first and higher values are preferred. Son Football Theatre Father 3,2 1,1 Football Theatre 0,0 2,4 (a) Interpret the payoffs and the game structure. What do they tell us about the preferences of the players? [2%] (b) Explain any dominant strategies in this game. Find any pure strategy Nash equilibrium/Nash equilibria. [3%] (c) Find the mixed strategy Nash equilibrium for this game. Write down the best response function for each player and draw these functions in a diagram which identifies all the Nash equilibria for this game. [10%] (d) In the mixed strategy Nash equilibrium, what is the probability of the zero-payoffs outcome in which the father chooses to attend the theatre and the son chooses to attend the football match? [2%] (e) What are the expected payoffs for the father and son in the mixed strategy Nash equilibrium? Comment on your result. [3%] nogo wa ohoorun the following aboi no goodo ot throo difforont prioon