{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

problemset5

# problemset5 - Problem Set 5 Ben Polak Econ 159a/MGT522a...

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

Problem Set 5. Ben Polak Econ 159a/MGT522a Three questions due October 24, 2007 (N.B. This is after the midterm.) 1. Evolutionary Stability and Weak Domination (Osborne). Suppose that the pure strategy s ° is evolutionarily stable. Is it possible that there is some other pure strategy that weakly dominates s ° ? Is it possible that there is some other pure strategy that is not weakly dominated by s ° ? Brie°y explain your answer. 2. Evolutionary Stability and Pareto Ranked Equilibria (adapted from Osborne). Con- sider the following symmetric two-player game. Each player can ‘demand’ an amount 1, 2 or 3. If both players demand the same amount then they each get that amount. If they demand di±erent amounts then the player who demands less gets the amount demanded by the player who demanded more, and the player who demands more gets 1/4 of her demand. That is, u 1 ( s 1 ; s 2 ) = 8 < : s 2 if s 1 < s 2 s 1 if s 1 = s 2 s 1 4 if s 1 > s 2 .

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