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.
Question
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.
Solution
The Nash Equilibrium of this game is "Terry will not clean and Kerry will clean". Here's why:
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Terry makes his decision first. He will look at his payoffs and see that he gets a higher payoff from not cleaning (10) than from cleaning (8). So, Terry will decide not to clean.
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After Terry has made his decision, Kerry makes hers. She knows that Terry has decided not to clean. So, she will look at her payoffs given this decision. If she cleans, she gets a payoff of 3. If she doesn't clean, she gets a payoff of 1. So, Kerry will decide to clean.
Therefore, the Nash Equilibrium is that Terry will not clean and Kerry will clean.
Similar Questions
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Consider the following game. Terry and Kerry are roommates who must make decisions about cleaning simultaneously. Terry’s payoff is the first number in each cell and a higher number is a better outcome: Kerry CleanDon’t cleanTerryClean( 8, 2 )( 3, 5 )Don’t clean( 10, 3 )( 4, 1 )Group of answer choicesOnly Terry has a strictly dominant strategy.Only Kerry has a strictly dominant strategy.Both Terry and Kerry have a strictly dominant strategy.Neither Terry and Kerry have a strictly dominant strategy.None of the above.
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