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Equalibrium

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Submitted By kayreynolds
Words 624
Pages 3
Topic 1

Consider a market which a monopolist and a firm that is considering entry. The new firm knows that if the monopolist "fights" (that is, sets a low price after the entrant comes in), the new firm will lose money. If the monopolist accommodates (continues to charge a high price), the new firm will make a profit.

| |
| |
|Entrant |
| | | Enter | Don't Enter |
| Monopolist | | | |
| | | | |
| | Price High | 20,10 | 50,0 |
| | Price Low | 5, -10 | 10,0 |

a) What is the Nash equilibrium of this game?

20,10 is the Nash Equilibrium because when monopolist keeps its price high that is when the game is at the Nash equilibrium.

b) Is the monopolist's threat to charge a low price credible? That is, if the entrant has come, would it make sense for the monopolist to charge a low price? Explain.
- No, it would not be a creditable decision to charge a lower price as lowering the price results in less profit for monopolist. If decision is made to change the price Entrant and Monopolist would no longer be in Nash equilibrium as a change would lower Monopolist’s profit in result in a loss for

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