Microeconomics · 免费预览

用树思考

博弈由参与者、策略和支付构成;序贯博弈要从结局倒着读;而进入者与在位者的博弈树揭示了为什么最后行动者的激励决定了最先行动者的选择。

1. The elements

The elements

2. Reading the tree backward

Reading the tree backward

3. The threat that isn't

The threat that isn't

4. Where trees grow

Where trees grow

5. Solving by backward induction

In the entry tree, if the entrant enters, the incumbent can fight for payoffs -20 to the entrant and 20 to itself, or accommodate for 30 each. Staying out yields 0 and 100. What does backward induction predict?

6. Non-credible threats

Why does the incumbent's threat to launch a price war fail to deter entry in the one-shot tree?

7. The value of sharing

In the entry game, fighting yields the incumbent 20 and accommodating yields 30. Compute the incumbent's payoff sacrifice from fighting rather than accommodating after entry has occurred, and write the number.

8. Reading the tree backward

What does backward induction require a player to do in a sequential game tree?

9. The threat that isn't

An incumbent threatens a price war if anyone enters, but accommodating an entrant would earn the incumbent more than fighting. What does game theory conclude?

10. The cost of fighting

In an entry game, fighting yields the incumbent 15 while accommodating yields 35. Compute the incumbent's loss from carrying out its price-war threat, and write the number.

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