Determine the pure strategy nash equilibria, Game Theory

Assignment Help:

a) Define the term Nash equilibrium

b) You are given the following pay-off matrix:

 

Strategies for player 1

 

Strategies for player 2

L

C

R

T

2,0

1,1

4,2

M

3,4

1,2

2,3

B

1,3

0,2

3,0

i)   What strategies survive the iterated elimination of strictly dominated strategies?

ii) What are the pure-strategy Nash equilibria of this game?

c) A Cournot duopoly has a demand function of the form p (Q)=a-Q and faces a marginal cost C>0 where a>c . Determine the profit maximizing output for each firm and the optimal price.

d) If the two firms in (a) were to merge to form a monopoly, what would be the profit-maximizing output and the corresponding price? Compare both the output and price under Cournot and monopolist.


Related Discussions:- Determine the pure strategy nash equilibria

Strictly dominant strategy , A strategy is strictly dominant if, no matter ...

A strategy is strictly dominant if, no matter what the other players do, the strategy earns a player a strictly higher payoff than the other. Hence, a method is strictly dominant i

Reverse auction, While ancient auctions involve one seller and plenty of co...

While ancient auctions involve one seller and plenty of consumers, a reverse auction typically involves several sellers and one buyer. for instance, procurement auctions are used t

Strategy, A strategy defines a collection of moves or actions a player can ...

A strategy defines a collection of moves or actions a player can follow in a very given game. a method should be complete, defining an action in each contingency, together with peo

Find the nash equilibria - strategic game, Two people are engaged in a join...

Two people are engaged in a joint project. If each person i puts in the e ort xi, a nonnegative number equal to at most 1, which costs her c(x i ), the outcome of the project is wo

Swertres computation, please compute this number 885 for the swertres lotto...

please compute this number 885 for the swertres lotto game.

Quiz to generate a grid, 1.a.out 2 1 Here is the grid that has been gene...

1.a.out 2 1 Here is the grid that has been generated: 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0

Assurance game scenario, "Assurance game" is a general name for the game m...

"Assurance game" is a general name for the game more commonly known as "Stag Hunt." The French philosopher, Jean Jacques Rousseau, presented the subsequent circumstances. Two hunte

Strategic kind, The strategic (or normal) kind may be a matrix illustration...

The strategic (or normal) kind may be a matrix illustration of a simultaneous game. for 2 players, one is that the "row" player, and also the different, the "column" player. every

Bayes, Eighteenth century British mathematician who recognized a method for...

Eighteenth century British mathematician who recognized a method for probabilistic mathematical inference. His Bayes Theorem, published posthumously, treats probability as a logic.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd