For this question, consider an asymmetric externality. The utility possibility frontier depicted in Figure 5 below maps the downstream party without the property on the vertical axis and the upstream party with the property right on the horizontal axis. Point B represents the outcome with exploitation of the ecosystem (Nash Bargaining impasse point) prior to Payments for Ecosystem Services (PES). Point E is the outcome with conservation but without PES and without a Pareto-efficient solution, and Point F is an outcome with PES and with a Pareto-efficient solution.

Figure 5: Payments for Ecosystem Services

Which line segment best represents the maximum willingness to pay (WTP) by the downstream party without the property right (vertical axis) for a move from E to F in Figure 5 above?

Question

For this question, consider an asymmetric externality. The utility possibility frontier depicted in Figure 5 below maps the downstream party without the property on the vertical axis and the upstream party with the property right on the horizontal axis. Point B represents the outcome with exploitation of the ecosystem (Nash Bargaining impasse point) prior to Payments for Ecosystem Services (PES). Point E is the outcome with conservation but without PES and without a Pareto-efficient solution, and Point F is an outcome with PES and with a Pareto-efficient solution.

Figure 5: Payments for Ecosystem Services

Which line segment best represents the maximum willingness to pay (WTP) by the downstream party without the property right (vertical axis) for a move from E to F in Figure 5 above?

BlackTom AI · Accepted Answer

Willingness to pay is a vertical utility tradeoff on the downstream (vertical) axis, so the maximum WTP is the vertical amount the downstream party would give up to get the Pareto-efficient allocation F while making the upstream party at least as well off.

1) Relevant knowledge points and concepts
- The utility possibility frontier shows feasible utility pairs (downstream on vertical, upstream on horizontal).
- A payment transfers utility between parties: WTP is measured as how much downstream utility they would sacrifice to improve upstream utility to reach the new allocation.
- The maximum WTP is the vertical distance between the downstream’s current utility at the initial point and the lowest downstream utility they would accept while still enabling the move to the target point (i.e., the downstream’s reservation utility consistent with the transfer).

2) Step-by-step reasoning
- Initial allocation is E (downstream utility at the E height).
- Target Pareto-efficient allocation is F (which requires increasing upstream utility—moving right on horizontal axis).
- To move along the frontier from E to F, the upstream must be compensated; that compensation comes from reducing downstream utility (a vertical drop).
- The reservation downstream utility that makes the transfer feasible and still attain F is the point labeled D on the vertical axis directly across the horizontal position associated with F.
- Therefore the maximum the downstream would pay equals the vertical difference between their utility at E and the reservation level D, i.e., the segment DE.

3) Intermediate steps / mapping on the figure
- Identify E’s vertical coordinate (starting downstream utility).
- Identify D as the downstream utility level aligned with the transaction that yields F.
- Compute WTP = Utility(E) − Utility(D) → graphically the length of DE.

4) Why DE is correct
- DE is precisely the vertical utility reduction the downstream would be willing to accept to compensate the upstream so the joint allocation moves from E to F. That vertical segment measures maximum transferable downstream utility.

5) Why other options are incorrect
- CB is a horizontal/vertical mix unrelated to the E→F transfer (it measures difference at a different horizontal location).
- BA is a horizontal segment on the upstream axis and does not represent a downstream utility payment.
- BF is a horizontal/diagonal movement involving upstream utility, not the downstream vertical sacrifice.
- “None of the above” is incorrect because DE exactly represents the downstream’s maximum vertical sacrifice.

Conclusion: The maximum WTP by the downstream party for the move from E to F is represented by segment DE, matching the provided answer DE.

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