a) Represent the below game in a matrix form. (15pts) b) Find the game's Nash equilibrium...

 

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a) Represent the below game in a matrix form. (15pts) b) Find the game's Nash equilibrium (or equilibria). (5pts) c) Discuss the Pareto efficiency of N.E. (5pts) d) Which of the classical games does this game remind you? (5pts) Tom and Jerry are two housemates who are always having troubles cleaning the house they share. While both want the house to be clean, neither of them wants to do the cleaning. If both do the cleaning, the payoff would be +2 for each. If neither of them do the cleaning, the payoff would be - 1 for each. If only one of them does the cleaning, the cleaning one will get a payoff of -2, while the other one gets +4. a) Represent the below game in a matrix form. (15pts) b) Find the game's Nash equilibrium (or equilibria). (5pts) c) Discuss the Pareto efficiency of N.E. (5pts) d) Which of the classical games does this game remind you? (5pts) Tom and Jerry are two housemates who are always having troubles cleaning the house they share. While both want the house to be clean, neither of them wants to do the cleaning. If both do the cleaning, the payoff would be +2 for each. If neither of them do the cleaning, the payoff would be - 1 for each. If only one of them does the cleaning, the cleaning one will get a payoff of -2, while the other one gets +4.