Intermediate Microeconomics · 免费预览

伯特兰价格竞争

当产品相同且以价格作为战略变量时,两家企业会通过相互压价达到竞争性结果:价格等于边际成本 12,产量为 88,这就是伯特兰悖论;而产品差异化、产能限制或重复互动则是现实中能够恢复利润空间的出路。

1. The undercutting spiral

The undercutting spiral

2. Why the paradox is fragile

Why the paradox is fragile

3. Choosing the model

Choosing the model

4. The paradox's value

The paradox's value

5. The paradox stated

What exactly is the Bertrand paradox about two firms' prices?

6. The undercut logic

Why is any price above 12 unstable in the Bertrand model?

7. Differentiation's rescue

How does product differentiation soften the Bertrand result?

8. Model choice

When is Cournot the more fitting model than Bertrand?

9. The Bertrand price

With MC 12, what is the Bertrand duopoly price? Write the number.

10. The Bertrand quantity

Compute demand at the Bertrand price, 100 minus 12, and write the number.

11. The paradox's profit

At the Bertrand equilibrium price of 12 with MC of 12, what does each duopolist earn?

12. The consumers' windfall

What is consumer surplus under the Bertrand price of 12?

13. Splitting the tied market

Both firms charge exactly 12 and split the demand of 88. What does each sell?

14. A third firm arrives

Does the Bertrand paradox survive a third firm entering?

15. Surplus under Bertrand

At the Bertrand price of 12, compute consumer surplus as half of 88 times 88, and write the number.

16. The tied firms' quantities

With both firms at price 12 and total demand of 88, compute each firm's quantity, and write the number.

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