Economics 031-001: Second Quiz



Instr. José-Víctor Ríos-Rull



Mar 15, 2000



Instructions:

Good luck!



  1. (5 points) The competitive market equilibrium price of sanitation services in a small town with no government supplied sanitation services is $2 per trash pickup. There is a $1 marginal external benefit associated with each trash pickup. The elasticity of supply of garbage pickups is infinite in the long run implying a horizontal supply curve. What has to be done to achieve the efficient output of sanitation services.

    A corrective subsidy must decrease the price paid by consumers of sanitation services to $1 per pickup.

  2. (5 points) The current competitive market price of fish is $3 per pound. A chemical producer emits effluent into a lake used by a commercial fishing firm. Each ton of chemical output causes a 20 pound reduction in the annual catch of the fishing firm. Assuming that transactions cost are zero, and the chemical firm has the legal right to dump effluent in the lake. How much would the fishing firm be willing to pay per ton of chemicals per year to induce the chemical firm to stop the chemical output.

    The fishing firm would be willing to pay up to $60 per ton of chemicals per year to induce the chemical firm to reduce chemical output.

  3. (4 points) State the condition for efficiency of the allocation of a public good.

    The condition is that the sum of the marginal benefits of all consumers has to equal the marginal cost.

  4. (15 points) The demand for artichokes is x = 100-2p. The supply of artichokes good is x = 5p. Assume that the marginal private cost equals the marginal social cost, but due to the artichokes' magical properties, the marginal private benefit is $5 lower than the marginal social benefit.

    1. (5 points) Compute the market price and quantity.

      p=100/7

      x=500/7

    2. (5 points) Compute the efficient quantity.

      x=550/7

    3. (5 points) Calculate the tax or subsidy that yields the efficient allocation.

      A 5$ subsidy per unit of artichokes.

  5. (4 points) Suppose that open spaces such as parks are public goods for the citizens that go and use them. Can you think of a way of providing the public good that does not require the government? Briefly explain how does it work.

    One way to provide public parks without the intervention of governments is through a club. What is key is that entry to the park can be controlled. Hence a club can overcome the local externality by controlling entry. Obviously, a private company could also provide the park by charging an entry fee.

    Indicate whether these statements are true or false and why

  6. (4 points) If a negative externality exists for sales of gasoline in a competitive market, more than the efficient amount of gasoline will be sold per year.

    True. The marginal social cost is higher than the marginal private cost, therefore too much is produced.

  7. (4 points) In a Lindahl equilibrium, each consumer of a pure public good consumes the same quantity and pays a tax-share per unit of the good equal to his or her marginal benefit.

    True. A Lindahl equilibrium provides the efficient quantity of the public good. Because it is a public good all consumers have to consume the same quantity. Efficiency requires that the sum of the marginal benefits for all consumers equal the marginal cost. In addition, the consumers are happy with this scheme because all of them equate marginal private benefit to marginal private cost.

  8. (4 points) If all voters have single-peaked preferences, a political equilibrium will not be possible under majority rule. False. Single peakedness over one issue is a condition that guarantees that under majority rule the median voter's most preferred outcome is the winner.


File translated from TEX by TTH, version 2.60.
On 15 Mar 2000, 16:02.