Intermediate Microeconomics · 免费预览
社会福利、公平性与模块总结
汇总偏好需要社会福利函数：功利主义的加总与罗尔斯主义的最大最小值在示例经济中选取不同的前沿点，各为 25 与前沿的一个角点 100 和 0；无嫉妒性提供了一种非福利主义的公平性检验；阿罗定理则表明，在没有独裁者的情况下，任何对排序的汇总都无法满足适度的公理。本模块与课程中的交换分析到此结束。
1. Aggregation's question
Aggregation's question
2. Fairness without comparisons
Fairness without comparisons
3. Arrow's impossibility
Arrow's impossibility
4. The module closed
The module closed
5. Utilitarian choice
Where does utilitarianism land on the worked utility frontier?
6. The maximin
Where does the Rawlsian maximin land, and why?
7. Envy-freeness
What is the envy-free result for equal division plus trade?
8. Arrow's axioms
Which of these is NOT one of Arrow's four axioms?
9. The maximin value
Compute the maximin utility at (25, 25), the minimum of 25 and 25, and write the number.
10. The utilitarian sum at equality
Compute the utilitarian sum at (25, 25) and write the number.
11. The utilitarian's arithmetic
At t of 4 the utilities are 16 and 36. What is their sum, and how does it compare to the middle?
12. Maximin rejects a tilt
At t of 6 the utilities are 36 and 16. What does the Rawlsian maximin conclude?
13. Envy at the split
At the equilibrium both consume (5,5). What does the envy test conclude?
14. The axiom majority voting breaks
Pairwise majority voting over three options violates which Arrow axiom?
15. The utilitarian sum at t of 4
At t of 4 with utilities 16 and 36, compute the utilitarian sum, and write the number.
16. The maximin at t of 6
At t of 6 the utilities are 36 and 16. Compute the maximin value, and write the number.