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Understanding the Ricardian Labor Productivity Model

May 3, 2025

Labor Productivity Model (Ricardian Model)

Introduction

  • Also known as the Ricardian Model, developed by David Ricardo.
  • Focuses on trade, specifically why two countries would trade.
  • Key concepts: Comparative Advantage and Absolute Advantage.

Example Setup

  • Two entities: a Farmer and a Rancher (can be thought of as two countries).
  • Both can produce two goods: Meat and Potatoes.
  • Trade scenario: initially no trade, then allow trade.

Production Details

Farmer

  • Meat: 60 minutes/ounce.
  • Potatoes: 15 minutes/ounce.
  • In 8 hours (480 minutes):
    • Meat: 8 ounces.
    • Potatoes: 32 ounces.

Rancher

  • Meat: 20 minutes/ounce.
  • Potatoes: 10 minutes/ounce.
  • In 8 hours:
    • Meat: 24 ounces.
    • Potatoes: 48 ounces.

Absolute Advantage

  • Rancher is faster at producing both goods.
  • Absolute Advantage: Rancher has it for both meat and potatoes.

No Trade Scenario (Autarchy)

  • Production Possibilities Frontier (PPF): Shows all combinations of goods that can be produced.
  • In autarchy, PPF = Consumption Possibilities Frontier (CPF).

Farmer's PPF

  • Vertical axis = Meat; Horizontal axis = Potatoes.
  • 8 ounces of meat or 32 ounces of potatoes.
  • Example point: 4 ounces of meat, 16 ounces of potatoes (Point A).

Rancher's PPF

  • 24 ounces of meat or 48 ounces of potatoes.
  • Example point: 12 ounces of meat, 24 ounces of potatoes (Point A).

Trade Scenario

  • Rancher proposes a trade: each specializes in one good.
  • Farmer: Specializes in Potatoes (32 oz), produces no meat.
  • Rancher: Specializes more in Meat (18 oz), some potatoes (12 oz).
  • Trade: 15 oz of potatoes for 5 oz of meat.

Outcomes

  • Farmer: 5 oz of meat, 17 oz of potatoes (better than in autarchy).
  • Rancher: 13 oz of meat, 27 oz of potatoes (better as well).
  • Both achieve consumption points outside their original PPF.

Gains from Trade

  • Farmer: Gains 1 oz of meat, 1 oz of potatoes.
  • Rancher: Gains 1 oz of meat, 3 oz of potatoes.
  • Total world production increases.

Comparative Advantage

  • Opportunity Cost: The cost of producing one good in terms of the other.

Farmer

  • Potatoes: 1/4 oz of meat.
  • Meat: 4 oz of potatoes.

Rancher

  • Potatoes: 1/2 oz of meat.

  • Meat: 2 oz of potatoes.

  • Farmer: Has comparative advantage in potatoes.

  • Rancher: Has comparative advantage in meat.

Implications

  • Trade allows specialization in goods with comparative advantage.
  • Neither can have a comparative advantage in both goods.
  • Price of goods in trade falls between the opportunity costs.

Conclusion

  • Ricardian model shows trade benefits through specialization and comparative advantage.
  • Leads to greater overall production and better consumption possibilities.

Next Steps

  • Explore the model more generally and symbolically in the next session.