# Nash Equilibrium and Dominant Strategies

I need some help with answering this problem:

Firm B

Strategy Advertise Don't Advertise

Firm A Advertise $4,$4 $20, $1

Don't Advertise $1, 20 $10, $10

A. Does anyone have a dominant strategy?

B. What is the Nash Equilibrium?

C. What is the socially optimal solution (at what point is total profit maximized)?

D. How would a negotiated solution lead to this socially optimal solution?

E. If you had to call in a mediator to negotiate this socially optimal solution, how much would they charge and why?

https://brainmass.com/economics/game-theory/nash-equilibrium-dominant-strategies-477615

#### Solution Preview

This is a somewhat classic Game Theory problem:

A. Firstly, the concept of dominant strategies has been raised. A weakly dominant strategy is at least as good in most contingencies, and better in one contingency. A strictly dominant strategy is better in all contingencies. Lets look at the payoffs:

Firm A appears to have a dominant strategy (advertise). Consider where Firm B decides to ...

#### Solution Summary

Nash equilibrium and dominant strategies are examined.