(a) Evaluate Kuznets' inverted U shaped curve hypothesis of income distribution. Does it hold good for less developed countries…

(a) Kuznets' inverted-U hypothesis. Kuznets (1955) hypothesised that as an economy shifts from agriculture to industry, inequality first rises and then falls. Early on, labour moves from low-income farming to better-paid urban sectors, the gap between sectors widens and capital ownership is concentrated; later, the shrinking of the traditional sector, education, unions, redistribution and social security narrow the gaps. Evaluation: his data were thin, drawn from a few countries (the US, UK, Germany), and the fall in their inequality coincided with wars, the Depression and progressive taxation, not only structural change. Cross-section studies supported the inverted U, but panel studies (Deininger and Squire; Fields; Anand and Kanbur, 1993) find that it is not robust to the choice of countries, inequality measure or specification, and that country-specific policies matter more. Piketty finds that inequality in rich countries fell in the mid-twentieth century and rose again after 1980. For less developed countries the curve is therefore not a law: China's inequality rose sharply after the reforms of the 1980s; East Asian economies grew with low inequality because of land reform and education; Latin America stayed unequal throughout. Policy can moderate inequality; growth alone will not.

(b) Human capital and growth. Human capital is a cause of growth, but not the only one. Lucas (1988) showed that education and skills raise productivity and generate spillovers; Romer's models make knowledge, built on human capital, a source of increasing returns; Mankiw–Romer–Weil (1992) found that adding human capital to the Solow model explains much of cross-country income differences. Cross-country evidence is mixed, because causation also runs from income to schooling, and because quality (learning outcomes, health) matters more than years of schooling (Hanushek and Woessmann). Human capital formation can be enhanced by raising public spending on education and health (the National Education Policy 2020 targets 6 per cent of GDP for education); improving school quality, teacher training and foundational learning; vocational training, as under Skill India; nutrition and early childhood care, as under Saksham Anganwadi and Poshan 2.0; health coverage through Ayushman Bharat; and closing gender gaps in schooling, health and work, since the returns to educating girls are high.

(c) Harrod's and Domar's rates, and Solow's improvement. Harrod's warranted rate is the growth rate at which planned saving equals planned investment and capacity is fully used: G_w = s/C_r, where s is the saving ratio and C_r the capital required per unit of additional output. Domar's required rate follows from investment's two effects: capacity rises by σI (σ = ΔY/I, output per unit of investment) and demand rises by ΔI/α (α = saving propensity). Equating them gives ΔI/I = ασ. The rates are similar because α = s and σ = 1/C_r: both say that steady full-capacity growth equals the saving rate times the output–capital ratio. Both models are knife-edge: if actual growth departs from the warranted rate, the gap widens (Harrod's instability), with no automatic correction, because the capital–output ratio and the saving rate are fixed and labour is not a constraint. Solow replaced the fixed-coefficient production function with a neoclassical one, Y = F(K, AL), with diminishing returns and capital–labour substitutability. Capital per worker evolves as k̇ = sf(k) − (n + δ)k, so if k is below its steady-state level it rises, and if above it falls: the steady state is stable and the knife-edge disappears. Poor economies converge conditionally, saving affects the level, not the long-run growth rate, which is set by technical progress and population growth, and the Golden Rule saving rate can be derived.