# Game Theory Homework | College Homework Help

1. Consider a “divide four objects game” in which player 1 proposes a division scheme ((4,0),
(3,1), (2,2), (1,3) or (0,4)) and player 2 either accepts it or rejects. In the former case, the
proposed division takes place and in the latter both players get nothing.
a) Find the number of different pure strategy Nash equilibria of this game.
b) Find the number of SPE among these Nash equilibria.
2. Two players are engaged in a infinitely repeated game whose stage game is shown below.

 L R U 5,5 1,2 D 6,2 2,4

a) Find all feasible individually rational payoffs.
b) Is payoff (5,5) possible in an SPE (assuming _ is sufficiently large)? Why?
c) Can you suggest a simple trigger strategy achieving payoff (5,5)? (Hint: find NE of
the stage game and recall the weak perfect folk theorem.)
d) What is the smallest value of _ making this simple trigger strategy possible?
3. Consider a modified public good game between four players in which for the public good
to be available at least two players out of the four have to contribute. If the public good
is available each player gets a payoff of 1 from it. The cost of contributing for player i is
equal to ci. Each player knows his or her own cost and has incomplete information about
the other players costs believing that the cost of each opponent is uniformly distributed on
the interval [0; 1] independently of each other. Find all symmetric PBE of this game.
4. In a multi-period chain store game with 30 cities, the payoffs of all players are just like
described in class with a = 2 and b = 0:5.
a) Suppose the local store in city 2 (counting from the end) was the first to enter in a
PBE. What is the possible range of the parameter pc in this problem?
b) What is the expected payoff of the chain store in this game?
c) What is the expected payoff of the local store in city 2?

Pages (550 words)
Approximate price: -

Why Homework Market

Quality Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Qualified Writers

We have hired a team of professional writers experienced in academic and business writing. Most of them are native speakers and PhD holders able to take care of any assignment you need help with.

Unlimited Revision

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account.

Timely Delivery

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. We will always strive to deliver on time.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text.

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Homework Market Writing Services

No need to work on essay at night. Sleep tight, we will cover your back. We offer all kinds of essay writing services.

## Essay Writing Services

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.