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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.

Question

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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Solution

To answer this question, we need to identify if there is a strictly dominant strategy for either Terry or Kerry. A strictly dominant strategy is one that provides a higher payoff no matter what the other player does.

For Terry:

  • If Kerry cleans, Terry gets a higher payoff by not cleaning (10 > 8).
  • If Kerry doesn't clean, Terry still gets a higher payoff by not cleaning (4 > 3).

So, Terry's strictly dominant strategy is to not clean.

For Kerry:

  • If Terry cleans, Kerry gets a higher payoff by not cleaning (5 > 2).
  • If Terry doesn't clean, Kerry gets a higher payoff by cleaning (3 > 1).

So, Kerry does not have a strictly dominant strategy because her best response depends on what Terry does.

Therefore, the answer is "Only Terry has a strictly dominant strategy."

This problem has been solved

Similar Questions

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.

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