Question

Nadia and Maddie are two college roommates who both prefer a clean common space in their dorm 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. The payoffs in each cell are shown as (payoff for Nadis, payoff for Maddie). Maddie Clean Clean Don Clean |30.30) 50.7) Dont Clean 7.50) 110,10) Refer to Table 17-20. What is Nadia's dominant strategy? Nadia has no dominant strategy b. Nadia should always choose Clean Nadia should always choose Don't Clean. d. Nadia has two dominant strategies, Clean and Don't Clean, depending on the choice Maddie makes

Answer 1

The correct option is C.) Nadia should always choose Don't clean.

Her dominant strategy is don't clean. When Maddie choose to clean , Nadia gets higher payoff by choosing not to clean and when Maddie chooses not to clean still Nadia gets higher payoff by choosing not to clean. Her dominant strategy is don't clean.