Tutorial 2
Online Review
Online Review
Congratulations on making it our second tutorial online review!
We're excited that you are able to join us again for another review of the tutorial content. The solutions and discussion are based off of Professor Barber's tutorial solutions.
Check out Tutorial 1 for a discussion on this question. Reminder:
Pareto optimal (PO): Making A better off without making B worse off.
Cost–Benefit (CB): Making A well enough off that it exceeds the degree to which B is made worse off.
Now that you've learned it twice, let's do a quiz!
Two roommates sorting out chores
Not allowing incompatible uses in zoning regulations
Five friends splitting a cake into 10 slices
An agreement between a smoker and non-smoker on private property
Imposing parking fees to reduce traffic congestion
Flipping a coin to decide the designated driver for the night
Answers: PO/CB/PO/PO/CB/None
A policy decision is often cost-benefit because we cannot make everyone happy, so we must consider the trade-offs to find the 'best' overall decision. Governing the distribution of a good (right to clean air counts as a good!) to which both sides are satisfied is typically a pareto optimal consideration. Note that there is no randomness to this decision-making!
Note that "Marginal Cost/Benefit" typically refers to Private Marginal Cost/Benefit as decision-making often only considers the private perspective.
Check out Tutorial 1 for a discussion on theft. Remember, theft is a non-voluntary transactions that is a potential pareto improvement.
The Coase theorem applies to situations in which, whatever the legal rule, voluntary exchanges will ensure that the efficient allocation is arrived at. Remember that agents will only choose to voluntarily make the decision if it is beneficial (or indifferent with no transaction costs).
The market mechanism does not operate with involuntary exchanges (theft)
We cannot be sure that the asset winds up in the hands of the party who values it the most
Closed Range Rule: livestock owners are obligated to fence in their animals to prevent them from straying, rather than property owners being responsible for fencing livestock out.
Ontario: loser pays compensation + everyone’s legal fees
United States: loser pays compensation + own legal fees
Coase Theorem: Property rights are most effective when they are clearly defined, enforceable, and transferable at low transaction costs.
If transaction costs are high (as in the US system, where even winners pay their own fees), rights may not be enforced even when violated, because the cost of suing can exceed the benefit. That weakens the practical value of property rights.
Before you start this question, be sure to go through the Cost-Benefit Analysis module! Make sure that you completed Question 4 and 5 for prerequisite knowledge.
You can imagine that the farmer has a smaller plot of land, so building their fence is only $100. The rancher's larger fence costs $200 to build.
a) If there is no liability, what outcome will occur with respect to the wandering cattle? Why?
No liability means that if the rancher's animals trample the farmer's crops, the rancher will not be held liable to the farmer. Since the rancher will not need to pay for damages, the damages cost will be borne wholly by the farmer. Luckily, either one of them can build a fence.
Given the two options (with/no fence) for the farmer and the rancher, what will they each choose to do based on the cost tables below?
🌾 Farmer no Fence $0 for fence + $300 in damages
🌾 Farmer with Fence $100 for fence + $0 in damages
🐄 Rancher no Fence $0 for fence + $0 in damages
🐄 Rancher with Fence $200 for fence + $0 in damages
Farmer: no fence = -$300 / with fence = -$100
Rancher: no fence = $0 / with fence = -$200
The farmer will install a fence as they can reduce the cost down to $100. The rancher has no incentive to build a fence.
b) If the rancher faces a property law imposing a rule that the rancher must compensate the farmer for damage to crops, what is the most optimal strategy for the rancher? Why?
c) If the rancher faces a property law imposing a rule that the rancher must compensate the farmer for damage to crops, what is the most optimal strategy for the rancher? Why?
In the absence of transaction costs, society would be indifferent between (a) and (b). Under the invariant version of the Coase Theorem, the economic outcome is the same, the cheaper fence costing $100.00 is built around the farmer’s field.
This about the total costs/benefits. In (a), the net surplus is -$100 from the fence. In (b), the net surplus is still -$100 from the fence. The amount transferred between the rancher and the farmer will cancel out to be a net $0.
d) Under which rule would we expect to see a contract made between the rancher and farmer? What would this contract say?
The contract emerges under (b), the property law that imposes a rule that the rancher must compensate the farmer for damage to crops, so there is now an incentive (liability) for the rancher to reduce the costs from their animals trampling crops of others.
The contract would include terms allowing the rancher on to the farm to build the fence, or having the rancher reimburse the farmer if the farmer builds the fence. There would be a further term for the additional savings of $100.00 being divided, possibly but not necessarily 50/50 between the parties.
e) What is the highest legal fee a lawyer could charge for making the contract in (b) without that fee being a barrier to contract?
f) If the legal fee exceeds the amount determined in (e), from the point of view of society what is the most optimal rule in (a) and (b)? Why?
(Part-a, no liability) Farmer still builds own fence ($100). The farmer will build a fence costing $100.00 around their farm, thereby saving $200.00 in damages not incurred from wandering cattle ($300 less damages − $100 fence). The saving of $200.00 by the farmer is also a saving of $200.00 for society.
(Part-b, strict liability) Rancher builds their own fence ($200). We know that since legal fees exceed $100, no contract will be formed. Instead, the rancher would build their own fence costing $200.00 around their ranch, thereby saving $100.00 in damages not incurred from wandering cattle ($300 less damages − $200 fence). The saving of $100.00 by the rancher is a saving of $100.00 for society.
Comparing (a) and (b), the rancher will save $200 in no liability rule as opposed to only $100 in strict liability rule if legal fees were too high.
a) If S has no legal liability for its pollution, what is S’s daily production of steel? How does your answer here relate to the concept of private efficiency?
b) WT wants to bargain with S to reach an optimal agreement on this pollution. Assuming S is still not legally liable for its pollution and both S and WT do not use lawyers, would there be an agreement? How does your answer here relate the concept of private efficiency to social efficiency? Fully explain your answer.
c) Suppose the rule of strict liability is imposed on S. Assuming no transaction costs, how will bargaining proceed?
Imposing strict liability on S means that they are held responsible for the damages that occur due to the pollution. In other words, the firm must compensate the town WT $30 per ton of steel produced ($150 per ton of pollution). In this case, the externality is internalized by the firm as the $30 of external marginal cost is now part of the firm's own private cost considerations (as discussed in Cost-Benefit Analysis). The result is that the firm would produce 40 units.
Like in Part b), the firm S would lose $2,450.00 - $2,000.00 = $450.00 at the socially efficient level of production. WT would “gain” $ 900.00 at the socially efficient level of production from compensation.
S and WT have no scope for bargaining because the “threat point” for the producer because if they still wanted to produce at the original 70 units, they would have to pay WT $900 to off-set pollution costs, so it is better for them to just lose $450 in profits.
In this case, q* = 40 is still the socially efficient outcome.
d) Fully explain how high transaction costs for S can change your answers (b) and (c)?
In (c) high transaction costs will not make a difference because there is no agreement.
In (b) the combined transaction costs of S and WT cannot exceed the net gain to the social surplus which was $450.
In (b) the gain for S and WT was $225 each, so individually the transaction costs cannot exceed $225.
Let's think back to the Farmer and the Rancher...
When there are no costs to making deals or negotiations, the farmer ends up putting up the fence around the cornfield instead of the rancher fencing in the cattle, no matter what the law says about who is responsible.
In this situation, the land for both cattle and corn is used in the same way regardless of who legally owns which rights. This idea is known as the “invariance” version of the Coase Theorem (more discussed in Q9), because the final use of resources doesn’t change based on who starts with the property rights.
This version of the Coase Theorem applies when there are no income effects and no endowment effects. Under those conditions, the efficient (socially best) outcome ends up being the same no matter how legal rights are assigned.
Remember, we are talking about transaction costs, not just costs. Transaction cost is any cost you incur just to make an exchange happen, not the cost of the actual good or service you’re buying or selling.
Something may cost a lot of money but will have low transaction costs involved, and vice versa. Suppose you want to hire a minimum wage tutor, you might face a few of these transaction costs:
Time spent looking for tutors = search cost
Time discussing price and schedule = bargaining cost
Making sure they show up and do good work = enforcement cost
Now, on to the ranking of the six transactions:
3rd/6
Third highest transaction costs since marriages involve search costs (dating) with potential pre-nuptial contract costs and divorce (enforcement) costs.
6th/6
Lowest transaction costs buying artichokes since they involve a routine store purchase. Maybe some search costs if the stores nearby don't sell artichokes...
📜c. Acquiring an easement.
1st/6
Highest transaction costs since easement involve survey costs with high negotiating contract costs with owner (one type of transaction costs) and registration (enforcement) costs.
2nd/6
Second highest transaction costs since sale involves search costs (find a suitable buyer) with extensive contract costs and potential (enforcement) costs.
5th/6
Second lowest transaction costs, despite high costs because going to college involves standard form contracts that do not require lawyers.
4th/6
Third lowest transaction costs since such warranties are usually standard form contracts that do not require lawyers, but involve some search costs for the correct warranties.
Property Rights. These are important in the context of bargaining and agreements. The main three elements of Coase Theorem apply to ensure the proper allocation/degree of rights through bargaining.
Part a) We revisit the scope of bargaining from a one-dimensional lens of one good (the right) two individuals.
Part b) & c) Can we still apply the principles of bargaining and contracts when dealing with a lot of people?
Although the situation is similar to Part b. and Part c. where making contracts with hundreds of people is infeasible, there is a new consideration for this case: the risk of a mid-air explosion from smoking
Normative Hobbes Theorem recognizes this as a barrier to contracts that necessitates the enactment of government rules to ban smoking, as we see today in the aviation industry 🚭🚭🚭