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.

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