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Assignment 3

1. Some games of strategy are cooperative. One example is deciding which side of the road to drive on. It doesn’t matter which side it is as long as everyone chooses the same side. Otherwise, everyone may get hurt.

Driver 2

Left Right

Driver 1 Left 0,0 -1000 -1000

Right -1000, -1000 0,0

a. Does either player have a dominant strategy? Explain.
No. There is no choice that will always have a higher payoff regardless of what the other player does.
b. Is there Nash equilibrium in this game? Explain
Assuming each player knows the strategies of the other, then yes, there is no benefit to changing a strategy unilaterally.
c. Why this game is called a cooperative game?
This game is cooperative because players can earn higher payoffs if they work together and drive on the same side of the road.
2.

a. What is the firm’s Total Revenue?
Produce were MR=MC, and charge price based on demand. So, total revenue is area A J E 0 (or A * E)
b. What is the Total Cost?
Total costs are shown by area B H E 0 (or B * E)
c. What is the firm’s Total Profits?
Total profits are area A J H B (or A-B * E)
d. If the above monopolist were to behave like a perfectly competitive firm (operating in the long run), determine its output.
In perfect competition the firm would produce where P = MC, so point N

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