Economics 309
Public Finance
Mark Witte
Northwestern University
Coase & Property Rights
Market based ways of regulation pollution
Crocker & Dales
Coase
Pigou
Hayek’s “Knowledge Problem”
Think of it like this….
"If a tree falls in the woods and there's no one there to hear it, does it make a sound?"
"Marge, it takes two to lie. One to lie, and one to listen."
Coase wrote a lot, but w/o much math
Coase: If no one is offended….
“Coase Theorem”
Coase & Efficiency
Efficiency Goal
Problems with Coase approach
Coase graph (marginals shown in graph)
Areas:
Example: Cows & Crops
Cows & Crops: No bargaining
What if someone owned both the ranch and the farm?
What if there were separate owners and no bargaining.
Result if ranchers had all the rights? DWL?
Result if farmers had all the rights? DWL?
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | |
1 | $20 | $90 | |
2 | $35 | $80 | |
3 | $45 | $60 | |
4 | $50 | $30 | |
5 | $52 | $0 | |
Cows & Crops: Bargaining
What if there were separate owners and bargaining, and bargaining was costless.
Result if ranchers had all the rights? Outcome? DWL? Payoff?
Result if farmers had all the rights? Outcome? DWL? Payoff?
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | $100 |
1 | $20 | $90 | $110 |
2 | $35 | $80 | $115 |
3 | $45 | $60 | $105 |
4 | $50 | $30 | $80 |
5 | $52 | $0 | $52 |
Cows & Crops: *Costly* Bargaining
What if there were separate owners and bargaining, and bargaining cost $4 (paid by the party that is not favored by the law)
Result if ranchers had all the rights? Outcome? DWL? Payoff?
Result if farmers had all the rights? Outcome? DWL? Payoff?
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | $100 |
1 | $20 | $90 | $110 |
2 | $35 | $80 | $115 |
3 | $45 | $60 | $105 |
4 | $50 | $30 | $80 |
5 | $52 | $0 | $52 |
Cows & Crops: *Costly* Bargaining
What if there were separate owners and bargaining, and bargaining cost $20 (paid by the party that is not favored by the law)
Result if ranchers had all the rights? Outcome? DWL? Payoff?
Result if farmers had all the rights? Outcome? DWL? Payoff?
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | $100 |
1 | $20 | $90 | $110 |
2 | $35 | $80 | $115 |
3 | $45 | $60 | $105 |
4 | $50 | $30 | $80 |
5 | $52 | $0 | $52 |
Cows & Crops: Thinking outside the box
What if bargaining were costless and a fence could be built for $35 that would prevent all crop damage for a year (before needing another $35 for fixing)
What is the outcome if rights favor ranchers? Farmers?
Either way, build it and total output can go to $52 + $100 (-$35 for the fence)
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | $100 |
1 | $20 | $90 | $110 |
2 | $35 | $80 | $115 |
3 | $45 | $60 | $105 |
4 | $50 | $30 | $80 |
5 | $52 | $0 | $52 |
No, we want a wall! A big, beautiful wall!
What if bargaining were costless and a WALL could be built for $60 that would prevent all crop damage. (And last one year, like before.)
What is the outcome if rights favor ranchers? Farmers?
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | $100 |
1 | $20 | $90 | $110 |
2 | $35 | $80 | $115 |
3 | $45 | $60 | $105 |
4 | $50 | $30 | $80 |
5 | $52 | $0 | $52 |
Cows & Crops & Pigou
What is the optimal number of cows? What is the marginal damage to crops at that optimum?
What is the optimal Pigouvian tax per cow?
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | $100 |
1 | $20 | $90 | $110 |
2 | $35 | $80 | $115 |
3 | $45 | $60 | $105 |
4 | $50 | $30 | $80 |
5 | $52 | $0 | $52 |
Cows & Crops & Pigou screws up
Do we really know where the optimum is? Do we really know the marginal damage? Isn’t it all guessing, really?
What if we guess that the tax should be $6/cow? Result? DWL?
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | $100 |
1 | $20 | $90 | $110 |
2 | $35 | $80 | $115 |
3 | $45 | $60 | $105 |
4 | $50 | $30 | $80 |
5 | $52 | $0 | $52 |
Bargaining would never make this mistake
Do we really know where the optimum is? Do we really know the marginal damage? Isn’t it all guessing, really?
What if we guess that the tax should be $16/cow? Result? DWL?
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | $100 |
1 | $20 | $90 | $110 |
2 | $35 | $80 | $115 |
3 | $45 | $60 | $105 |
4 | $50 | $30 | $80 |
5 | $52 | $0 | $52 |
Cows & Crops & Pigou screws up
Do we really know where the optimum is? Do we really know the marginal damage? Isn’t it all guessing, really?
What if we guess that the tax should be $16/cow? Result? DWL?
# of Cows | Private profit from cows | Private profit from crops | Joint profit |
0 | $0 | $100 | $100 |
1 | $20 | $90 | $110 |
2 | $35 | $80 | $115 |
3 | $45 | $60 | $105 |
4 | $50 | $30 | $80 |
5 | $52 | $0 | $52 |
Coase examples
Problems with scaling up Coase
# of people | Number of lines of communication |
2 | 1 |
3 | 3 |
4 | 6 |
5 | 10 |
6 | 15 |
7 | 21 |
Complications
Next up….