Courtney and Larry are playing one-on-one basketball. This time, they are playin
ID: 1217823 • Letter: C
Question
Courtney and Larry are playing one-on-one basketball. This time, they are playing for $100; that is, the loser of the game will pay the winner $100.
The game proceeds as follows: one player is on offense, the other is on defense. The player on offense will either score or miss. If the player on offense scores, he or she wins the game. If the player on offense misses, he or she goes to defense, and the other player goes on offense. This process continues until one of them scores.
The player on offense always has a 0.25 (1/4) probability of scoring.
Question 1 (0.5 points)
This is an example of a
Question 1 options:
Simultaneous move game.
Recursive dynamic program.
Non-recursive dynamic program.
Mixed strategy equilibrium.
Competitive equilibrium.
Question 2 (0.5 points)
Not counting win and lose, how many states of play are in this game?
Question 2 options:
1
2
3
4
5
Question 3 (0.5 points)
Suppose that Courtney starts the game on offense. What is the probability that she wins the game? Note that I am not asking the probability that she scores and wins on this possession.
Question 3 options:
5/9
4/7
4/5
3/4
1/2
Question 4 (0.5 points)
If she starts on offense, what is the value of the game for Courtney?
Question 4 options:
$11.1 ($100/9)
$14.3 ($100/7)
$50
$57.1 ($400/7)
$0
Simultaneous move game.
Recursive dynamic program.
Non-recursive dynamic program.
Mixed strategy equilibrium.
Competitive equilibrium.
Explanation / Answer
answer 1) mixed strategy equilibrium
answer 2) 4
answer 3) 1/2
answer 4)$50