Arthur Lewis's dual-sector model of development.

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                                                                                                                    By Oytun Pakcan

        Arthur Lewis’s dual-sector model of development is based on the expansion of the modern sector of the economy while the indigenous sector contracts through the interaction and reallocation of resources  between an advanced ‘capitalist’ sector and an agricultural ‘non-capitalist’ sector in a developing economy. However before Lewis introduces his dual-sector model, he makes a couple of significant assumptions that helps us to understand his model.

        First of all Lewis assumes that a capitalist sector with necessary ability and motivation to undertake long-term productive investment is present in all the developing economies. According to Lewis, the capitalist sector is defined as that part of the economy that uses reproducible capital, pays capitalists for the use thereof, and employs wage-labor for profit making purposes. The second assumption that the Lewis makes is that there is disguised unemployment in the non-capitalist agricultural sector of the economy. K. Sen explains that unemployment can be ’disguised’ as a result of a particular task being performed by more labor than is necessary keeping the technology and productive resources constant. He gives the example that a piece of land that can be cultivated fully by two, may actually be looked after by four, if a family of four working people having no other employment happens to own it. If we look at the relationship between labor and output in Figure 1, it is seen that the amount of labor added after L1 doesn’t change the total output. This means that the marginal productivity becomes zero at point L1 and the amount between L1 and L2 represents the volume of ‘disguised’ employment. The third assumption that Lewis makes is that the population growth in developing countries is so large that there is a labor surplus in agricultural sector of the economy. Subsequently, the size of excess population is significantly big in relation to land and capital that the marginal productivity of labor is reduced to zero. Ragnar Nurske explains excess population implies that the marginal product is less than the average. In this case, if population grows further, the average level of production comes down since the additional labor contributes less than the average worker previously. When we look at Figure 2, the relationship between total product and population, the average product per labor is reflected in the slope of the line from the origin to any point on the curve while the marginal product is reflected in the slope of the curve itself at any given point. So it is seen that average product of labor increases until point A, where it is equal to marginal product and reaches its maximum. At point A, the population size is called the optimum population. After point A, as the population increases further, the average product level starts to decrease since the marginal product level is below the average product level. At point B, the slope of the curve and as a result the marginal product level becomes zero. The further increases in population beyond         Y results in negative marginal product and decreasing average product until absolute physical minimum subsistence level is reached. The second and third assumptions of Lewis imply that the labor could be transferred from non-capitalist agricultural sector to capitalist sector without affecting the volume of agricultural output since marginal productivity of labor in rural areas is assumed to be zero. As a result, transferable labor between two sectors of the economy is considered to be unlimited.

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        After clarifying the assumptions of Lewis, now we can have look at the Lewis’s Dual-Sector Model. Lewis’s model basically focuses on the transfer of unlimited agricultural labor to the capitalist modern sector of the economy. Since the supply of labor is assumed to be unlimited and eventually perfectly elastic, the wage that the growing capitalist sector has to pay for the workers is constant as long as it is somewhat higher than the subsistence earnings of the workers in the agricultural sector. If we look at Figure 3, BC represents the perfectly elastic supply of labor and the constant wage ...

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