Dirk and Lee are two college roommates who would both like to have a clean room,

Question

Dirk and Lee are two college roommates who would both like to have a clean room, but neither enjoys cleaning. The roommates must each make a decision to either clean or not clean the dorm room's common space. The payoff table for this situation is provided below, where the higher a player’s payoff number, the better off that player is.

Dirk

Clean

Don't Clean

Lee

Clean

(120, 120)

(28, 200)

Don't Clean

(200, 28)

(40, 40)

What is Lee's dominant strategy?

Dirk

Clean

Don't Clean

Lee

Clean

(120, 120)

(28, 200)

Don't Clean

(200, 28)

(40, 40)

Explanation / Answer

Answer
Lee should always choose Don’t Clean.
The lee chooses Don,t clean because of his payoff for don,t clean is higher than Clean.

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