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WTP on a Graph
The area under the demand curve from Q = 0 up to the quantity in question.
TVC on a Graph
The area under the marginal cost (MC) curve from Q = 0 up to the given quantity (Q).
Consumer Surplus on a Graph
The area between the demand curve and the actual price paid by consumers, from Q = 0 up to the quantity traded.
Producer Surplus on a Graph
The area between the actual price received by producers and the supply curve, from Q = 0 up to the quantity traded.
DWL on a Graph
The area between Demand and Supply curves from Qd to Q s.
Coase Theorem Efficient Allocation
Total MB = MC.
VSL
(WTP per person × population)/L
VSL Worth?
Policy worth it if: Benefits (L × VSL) > Costs.
First Equimarginal Principle
Net benefits are maximized when: Social Marginal Benefit (SMB) = Social Marginal Cost (SMC).
Second Equimarginal Principle
The cheapest way to reach a goal is when the marginal costs of all possible means of achievement are equal.
Discounting
PV=FV/((1+r)^t)
Dynamic Efficiency
If r = 0 (no discounting)
Future is valued equally as present.
Split the stock evenly: each period gets the same share.
If r > 0 (positive discount rate)
Present is valued more than the future.
Allocate more to today, less to the future.
Marginal User Cost
Marginal User Cost (MUC)
Definition: MUC=P−MC
It’s the scarcity rent: the extra value because the resource is limited.
Efficient Allocation Rule
Must balance Present Value of Marginal Benefits (PV[MB]) between periods.
If PV[MB] today > PV[MB] future → shift more to today.
If PV[MB] equalized → efficiency achieved.