Question 0:What is the equilibrium game below:

Player 2 | |||
---|---|---|---|

X | Y | ||

Player 1 | A | 20 , 20 | 25 , 10 |

B | 15 , 25 | 23 , 23 |

- A,X
- A,Y
- B,X
- B,Y

Question 1: Find the equilibrium/equilibria of the folowing game if there is/ are.

Player 2 | |||
---|---|---|---|

X | Y | ||

Player 1 | A | -5 , -5 | -5 , -4 |

B | -3 , -5 | -5 , -5 |

- A,Y;B,X and B,Y
- A,X
- A,Y and B,X
- all of them

Question 2:

Amy, Barbara and Carol are independently thinking of getting a tattoo. They are meeting at a party in a few days. Each has to decide whether or not to go to the tattoo parlor. For each of them the most preferred outcome is one where she shows up with a tattoo and at least one of her friends also does (being indifferent between being one of two or one of three). The least preferred outcome is to be the only one of the three with a tattoo. The middle-ranked outcomes are the ones where she does not have a tattoo (she is indifferent among those outcomes). What is/are the equilibrium/equilibria of the above game? ( T stands for tattoo and N for no tattoo )

- Carol chooses T, Barbara and Amy chooses N ; Carol chooses N,Barbara and Amy choose T
- Carol,Barbara choose T,Amy chooses N; Carol,Barbara choose N,Amy chooses T
- Barbara chooses T, Carol and Amy choose N; Barbara chooses N, Carol and Amy choose T
- Carol,Barbara,Amy choose T ; Carol,Barbara,Amy choose N