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LDCs with Surplus Labour: Lewis Model
Introduction
• One of the major feature of developing nation is the unlimited
supply of labour due to
1. High population growth rate
2. Comparatively low stock of capital and natural resources
• Consequently, full employment can bring down the marginal
productivity
• Downward wage rigidity creates unemployment
• This is explained with the help of Lewis Model
Lewis Model: Assumptions
• Total number of workers is constant in the country.
• There are two sectors in the economy
1. Rural Sector: Based on Agricultural Activities
2. Urban Sector: Based on Industrial Activities
• Production functions are subject to law of diminishing returns to a factor
• Markets are perfectly competitive: Constant commodity prices
• Demand for labour in each sector is determined by the value of marginal
productivity.
• In both sectors wages are same and institutionally fixed
The Model
• Horizontal and vertical axes represent the
number of workers and wage rate
respectively
• 𝑂𝐴 𝑂 𝑀= Total labour force
• 𝐷𝐿
𝐴
= DD curve for labour in rural sector
• 𝐷𝐿
𝑀
= DD curve for labour in urban sector
• 𝑊= Institutional Wage
• 𝑊1 = Market clearing wage
• 𝑂𝐴 𝐿 𝐴= Rural employment
• 𝑂 𝑀 𝐿 𝑀= Urban employment
• 𝐿 𝐴 𝐿 𝑀= level of unemployment
• 𝐴𝐵 𝑊 = Surplus in the hand of rural landowners
• 𝑀𝑁 𝑊 = Surplus of urban capitalists
• 𝐷𝐿1
𝑀
= DD curve for labour in urban sector after
capital formation
• 𝑅𝑀1 𝑊= Surplus of urban capitalists after capital
formation
• 𝑂 𝑀 𝐿 𝑀
1
= Urban employment after capital
formation
• 𝐿 𝐴 𝐿 𝑀
1
= Unemployment after capital formation
𝑊1 𝑊1
𝐷𝐿
𝑀
𝐷𝐿1
𝑀
Survival of Unemployed
• Question: How is it possible for unemployed people to survive
1. Malthusian Theory- No chance of survival causing a decrease in supply
of labour would cause the economy to move towards full employment
equilibrium.
2. Lewis- Survival of unemployed workers through family sharing by the
land and capital owners from their respective surplus in different
ways:
a. Sharing extra income as financial support
b. Employing them though the marginal productivity is below wage or
even close to zero.
3. Some of unemployed workers migrate to urban area: that can increase
urban unemployment and emergence of an informal sector as well.
Capital Formation in Lewis Model
• Capital formation increases the labour productivity and hence
demand for labour in urban manufacturing sector.
• Increase in employment opportunity causes a decline in
unemployment
• Increase in surplus of capitalist causes further expansion of the urban
manufacturing sector causing higher demand for labour.

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Ld cs with surplus labour, lewis model

  • 1. LDCs with Surplus Labour: Lewis Model
  • 2. Introduction • One of the major feature of developing nation is the unlimited supply of labour due to 1. High population growth rate 2. Comparatively low stock of capital and natural resources • Consequently, full employment can bring down the marginal productivity • Downward wage rigidity creates unemployment • This is explained with the help of Lewis Model
  • 3. Lewis Model: Assumptions • Total number of workers is constant in the country. • There are two sectors in the economy 1. Rural Sector: Based on Agricultural Activities 2. Urban Sector: Based on Industrial Activities • Production functions are subject to law of diminishing returns to a factor • Markets are perfectly competitive: Constant commodity prices • Demand for labour in each sector is determined by the value of marginal productivity. • In both sectors wages are same and institutionally fixed
  • 4. The Model • Horizontal and vertical axes represent the number of workers and wage rate respectively • 𝑂𝐴 𝑂 𝑀= Total labour force • 𝐷𝐿 𝐴 = DD curve for labour in rural sector • 𝐷𝐿 𝑀 = DD curve for labour in urban sector • 𝑊= Institutional Wage • 𝑊1 = Market clearing wage • 𝑂𝐴 𝐿 𝐴= Rural employment • 𝑂 𝑀 𝐿 𝑀= Urban employment • 𝐿 𝐴 𝐿 𝑀= level of unemployment • 𝐴𝐵 𝑊 = Surplus in the hand of rural landowners • 𝑀𝑁 𝑊 = Surplus of urban capitalists • 𝐷𝐿1 𝑀 = DD curve for labour in urban sector after capital formation • 𝑅𝑀1 𝑊= Surplus of urban capitalists after capital formation • 𝑂 𝑀 𝐿 𝑀 1 = Urban employment after capital formation • 𝐿 𝐴 𝐿 𝑀 1 = Unemployment after capital formation 𝑊1 𝑊1 𝐷𝐿 𝑀 𝐷𝐿1 𝑀
  • 5. Survival of Unemployed • Question: How is it possible for unemployed people to survive 1. Malthusian Theory- No chance of survival causing a decrease in supply of labour would cause the economy to move towards full employment equilibrium. 2. Lewis- Survival of unemployed workers through family sharing by the land and capital owners from their respective surplus in different ways: a. Sharing extra income as financial support b. Employing them though the marginal productivity is below wage or even close to zero. 3. Some of unemployed workers migrate to urban area: that can increase urban unemployment and emergence of an informal sector as well.
  • 6. Capital Formation in Lewis Model • Capital formation increases the labour productivity and hence demand for labour in urban manufacturing sector. • Increase in employment opportunity causes a decline in unemployment • Increase in surplus of capitalist causes further expansion of the urban manufacturing sector causing higher demand for labour.