{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# hw1 - S'11 Prof Stahl 354K Game Theory Problem Set No 1 Due...

This preview shows pages 1–2. Sign up to view the full content.

S'11 Prof. Stahl 354K Game Theory Problem Set No. 1 Due: Tuesday, Jan 25 1) Consider the uncertainty associated with drawing a card from a deck of cards. List the sample and event spaces (you do not have to list all possibilities but list the categories). How would you assign a probability function to this uncertainty? (Dutta, chapter 26: 14) 2) Consider a uniform distribution between the two values 0 and 1. What is the probability that x lies between 0 and 1/3? What then is the probability that x lies between 1/3 and 1? What is the probability that x lies between any two fractions, a and b ? (Dutta, chapter 26: 15) 3) Consider the following game. Let us write its table with probabilities instead of payoffs; that is, the probability in the cell (U,C) represents the probability that player 1 will play U and player 2 will play C. (Dutta, chapter 26: 22) 1\2 L C R U 0 1/12 2/7 M 1/12 1/6 0 D 1/6 0 3/14 Find the conditional probability of L given U. Repeat with the conditional probability of C given U.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern