Price Ceiling

价格上限在 PQP-Q 图像上表示为一条水平线

Ceiling Line
Ceiling Line
  • 黑色实线为坐标轴,纵轴 PP,横轴为 QQ
  • 橙色线表示 P=F(Qs)P=F(Q^s)
  • 黄色线表示 P=F(Qd)P=F(Q^d)
  • 蓝色线表示 Price Ceiling,

注意!

只有当蓝色低于 Equilibrium 点的时候才需要额外分析,如果价格上限高于市场价,那么对于市场完全没有影响

于是此时我们可以看到,需求量远远大于供给量,于是在供给量固定的情况下,市场上的买家需要争夺这些稀缺的供给……我们来看四种情况

Bribery

第一种解决办法,加价/拍卖。Total Value of bribery 会计入 Surplus 中

Waiting in Line

Total Value of Time,会算作损失


例题

2024 Summer

Suppose the demand and supply of Cannabis in Neverland community are given as follows:

  • Demand: P=930589QP = 930 - 589Q
  • Supply: P=180+2.5QP = 180 + 2.5Q

In which PP is the price per kg in thousand dollars and QQ is the quantity in thousand kgs.
Note:
1 thousand×(1 thousand)=1 million1 \text{ thousand} \times (1 \text{ thousand}) = 1 \text{ million}

18. The unregulated equilibrium Cannabis price is [ Answer18A ] thousand dollars per kg and the equilibrium quantity is [ Answer18B ] thousand kgs.

19. Suppose the government purchases 1010 thousand kgs of Cannabis back from the market regardless of price. After the government enters the market, on the new market demand curve, when the price is 555555 thousand dollars per kg, the total quantity demanded is [ Answer19 ] thousand kgs.

20. Suppose the government wants to use a buyback program to reduce the quantity of Cannabis traded in the community to zero. The government will need to buy at least [ Answer20A ] thousand kgs from the market and spend at least [ Answer20B ] million dollars.

21. Suppose the government wants to use a price floor to reduce the quantity of Cannabis traded in the community to zero. The government will need to implement a price floor of [ Answer21A ] (A. at most; B. at least) [ Answer21B ] thousand dollars per kg.

22. Knowing that the government is determined to reduce the quantity of Cannabis traded in the community to zero through either buyback or price floor, the Cannabis suppliers are actively thinking of lobbying the government for a policy they favor. The Cannabis suppliers as a group are willing to spend up to [ Answer22 ] million dollars to lobby the government to adopt the policy they favor.

解答
  1. 这一小问的核心在于,生产商是从这两个政策里选出最利于自己(收益最大化)的政策,也就是贿赂政府选择 buyback 政策。而 buyback 政策下,Producer Surplus 为 0.5×(930180)×300=1125000.5\times (930-180)\times 300=112500 million,因此最多可以支付 112500112500 来贿赂政府。