Scenario: Consider the following non-cooperative, simultaneous-move game where each player knows her own and her opponent's payoffs. This game is called the dating dilemma. Hayley and Jack are a couple deciding what to do on a Saturday afternoon in the summer. Hayley wants to go to the Museum of Modern Art (MoMA), while Jack wants to go to a New York Mets game. Neither Jack nor Hayley will derive any benefit from going to their preferred activity without their partner. The payoff matrix for this game is presented below.

-Refer to the scenario above.Does Hayley have a pure strategy?
A) Yes, always choose to go to the MoMA
B) Yes, always choose to go to the Mets game
C) No
D) Cannot determine given the information provided

Question

Scenario: Consider the following non-cooperative, simultaneous-move game where each player knows her own and her opponent's payoffs. This game is called the dating dilemma. Hayley and Jack are a couple deciding what to do on a Saturday afternoon in the summer. Hayley wants to go to the Museum of Modern Art (MoMA), while Jack wants to go to a New York Mets game. Neither Jack nor Hayley will derive any benefit from going to their preferred activity without their partner. The payoff matrix for this game is presented below.
 
-Refer to the scenario above.Does Hayley have a pure strategy?
A) Yes, always choose to go to the MoMA 
B) Yes, always choose to go to the Mets game 
C) No 
D) Cannot determine given the information provided

Quizplus · Accepted Answer

Hayley does not have a pure strategy in this game. If Jack goes to the MoMA, Hayley prefers to go to the MoMA as well because her payoff is 2, which is greater than 0. Similarly, if Jack goes to the Mets game, Hayley prefers to go to the Mets game as well because her payoff is 1, which is greater than 0. Therefore, Hayley’s best strategy is to choose the activity that her partner selects. This is called a mixed strategy because she is choosing one activity with a certain probability and the other activity with the remaining probability.

Scenario: Consider the Following Non-Cooperative, Simultaneous-Move Game Where Each Player