Stocks across generations · Week 06

Resource allocation over time

We continued Lecture 5 through page 51, covering efficient allocation, user cost, scarcity rent, and Hotelling’s rule. Week 7 resumes at page 52 to finish the lecture, complete Classwork 5, and begin fishery dynamics.

Sep 28–Oct 2Lecture 5 · Covered through p51Web Reading

Focus

  • Marginal net benefit and two-period allocation
  • User cost, scarcity rent, and Hotelling’s rule
  • Depletion decisions and investing scarcity rent for the future

Prepare

  • Review the allocation and discount-rate examples in Lecture 5
  • Read TL Chapters 6–7 and the resource-allocation web reference
  • Begin Homework 2 · Due Oct 9, 9:30 AM

Practice

  • Compare present and future marginal net benefits
  • Explain the opportunity cost of extracting one more unit now
  • Use net price to explain an owner’s extraction decision

Guiding question

How should a fixed stock be allocated across generations—and what can we pass on after it is extracted?

Learning targets

  • Derive marginal net benefit and compare it across two periods using present value.
  • Find an efficient allocation of a fixed resource stock and explain its user cost.
  • Connect scarcity rent to a resource owner’s decision about when to extract.
  • Explain Hotelling’s rule using net price rather than the full market price.
  • Explain how investing scarcity rent can support future income and why actual price paths can differ from Hotelling’s benchmark.

In-class sequence

  • September 28 and 30: the resource-market model, two-period allocation, user cost, scarcity rent, and discount-rate comparisons.
  • October 2: continued from Hotelling’s rule through page 51, Empirical Evidence on Hotelling’s Rule. Week 7 resumes at page 52, the Intertemporal Fairness section.

Lecture slides

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Lecture 5 · Resource Allocation Over TimeContinue with Hotelling’s rule

This week’s materials

TL refers to Tietenberg and Lewis, Natural Resource Economics: The Essentials, 2nd edition. Chapter numbers on this page follow that edition, not the larger Environmental and Natural Resource Economics textbook.

Reading: TL Chapter 6 — Dynamic Efficiency and Sustainable Development — and Chapter 7 — Depletable Resource Allocation Over Time: The Role of Longer Time Horizons, Substitutes and Extraction Cost. Use the web reading below for worked examples.

Coming next

Week 7 resumes Lecture 5 at page 52 (Intertemporal Fairness), finishes the lecture, and completes Classwork 5 before beginning fishery dynamics. Homework 2 is due October 9 at 9:30 AM. The fisheries topic develops renewable-resource dynamics with graphs rather than algebra.

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