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This business decision looks at the impact an externality has on an Investment Choice.

A dynamic externality occurs when (as a group) our animals impose a cost on the future provision of the good produced in the commons, which are; we can cause environmental damage through overgrazing.

There is one pasture we share in common—there are just the two of us using the pasture.

On this pasture, milk production as a function of total herd size is as follows:

# of animals

Liters of milk produced

0

0

5

10

10

20

15

30

20

36

25

40

30

44

As you can see, the amount of milk produced increases with the size of the herd—however, it increases at a decreasing rate.

For each livestock owner, the share of this total milk produced they receive is a function of your share of the total herd. The Price of milk is $1 per liter.

For each animal put on the pasture, it costs $1 in private labor costs. (5 animals costs $5, 10 animals costs $10,…)

So if I have 5 animals and you have 5 animals, my payoff is (5/10)*20-5, or 5. If you had 15 animals and I had 5, then it is (5/20)*36-5, or 4.

A) given no market intervention, what is the Nash Equilibrium of # of animals and Liters of milk if there are two farmers?

B) What is the Pareto Optimal Equilibrium?

C) What would each investor need to do to create the Optimal Equilibrium? Show your work on all answers!

D) This is an arithmetic question—it does not require extremely high level math. If the government wished to maximize its tax revenue on Milk, how much would it charge given the information provided in the introduction (note—you will create a new equilibrium)?

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Divya Singh
Divya SinghLv10
29 Sep 2019

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