Advanced macroeconomics

Diamond Overlapping-Generations Model

A two-period overlapping-generations model that links wages, interest rates, and private saving to long-run capital accumulation across cohorts.

Macroeconomics Overlapping generations Advanced EasyEcon / Marimo Growth, business cycles, and open economy
Focus

Saving across cohorts, golden rule, and dynamic inefficiency

Study the steady state, compare it with the golden-rule benchmark, and see when an economy may overaccumulate capital and become dynamically inefficient.

What to explore

Change parameters and watch the model adjust.

  • Productivity, capital share, depreciation, and household saving propensity
  • Population growth and the initial capital stock for transition exercises

Core ideas

Interpret the mechanics before you chase the graphs.

  • In the Diamond model, each generation saves when young and dissaves when old.
  • The competitive steady state need not coincide with the consumption-maximizing golden rule.
  • Dynamic inefficiency appears when the economy has accumulated more capital than is socially useful.

Learning goals

What this model should help students internalize.

  • Connect household saving decisions to equilibrium capital in an overlapping-generations economy.
  • Compare the competitive steady state to the golden-rule benchmark.
  • Recognize the logic of dynamic inefficiency when capital is overaccumulated.

Prerequisites

Concepts to review before diving in.

  • Ramsey or Solow steady-state intuition
  • Comfort with factor prices and life-cycle saving logic

EasyEcon interactive

Diamond OLG notebook

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Saving across cohorts, golden rule, and dynamic inefficiency

Study the steady state, compare it with the golden-rule benchmark, and see when an economy may overaccumulate capital and become dynamically inefficient.

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