Problem Set 1

Question 1.

a. Who are the players of the game?

b. What are the strategies?

c. What are the payoffs?

d. Write down a normal form of the game.

e. (bonus) Explain why Kevin Bacon is able to win the game.

Question 2

a. Who are the players?

b. What are the strategies?

c. What are the payoffs?

Question 3

Consider the game in Question 2.

a. Which outcome gives both players the highest value overall?

b. For player 1, is there a dominant strategy?  If there is, what is it?

c. For player 2, is there a dominant strategy?  If there is, what is it?

Question 4 

In R use the Ecdat library and get the FriendFoe data set.

a. Create a table with Friend and Foe for player 1 as the rows and Friend and Foe for player 2 as the columns. Use the data to calculate the frequencies of each of the events in the data. That is, how often to both players play Friend, how often does player 1 play Friend and player 2 play Foe, etc.

b. Recreate the table from (a) but limit the data to the case where both players are female. Do the same thing but this time limit the data to the case where both players are male.

c. Looking at the results in (b). Are they different? Is there a statistically significant difference?

d. Explain why the results would be different (or not different).