UPSC MainsECONOMICS-PAPER-I202510 Marks150 Words
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Q19.

Answer the following questions in about 150 words each : (d) Write down the implications of knife-edge problem in Harrod's model of growth.

How to Approach

The question asks for the implications of the "knife-edge problem" in Harrod's model of growth. The approach should begin by briefly introducing Harrod's model and the concept of steady growth. Then, explain what the knife-edge problem is, focusing on the three growth rates (Actual, Warranted, Natural) and the conditions for equilibrium. The core of the answer will detail the implications of deviations from this equilibrium, such as secular stagnation or inflation. Conclude with a brief critique of the model's rigidity.

Model Answer

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Introduction

Harrod's model of economic growth, developed by Sir Roy Harrod in 1939, is a post-Keynesian theory that explores the conditions necessary for an economy to achieve and maintain a steady rate of growth. It emphasizes the dual role of investment: generating income through the multiplier effect and increasing productive capacity. The model introduces three distinct growth rates – Actual (G), Warranted (Gw), and Natural (Gn) – and posits that sustainable, full-employment growth requires these three rates to be in precise equilibrium. The "knife-edge problem" highlights the extreme fragility of this equilibrium, suggesting that any slight deviation can lead to cumulative instability.

Implications of the Knife-Edge Problem in Harrod's Model

The "knife-edge problem" in Harrod's growth model refers to the inherent instability of the steady-state growth path. It illustrates that for an economy to achieve balanced growth with full employment, the actual rate of growth (G) must precisely equal the warranted rate of growth (Gw), which in turn must equal the natural rate of growth (Gn). Any slight divergence from this precarious equilibrium can lead to severe macroeconomic consequences.
  • Instability of Growth: The fundamental implication is the inherent instability of economic growth. The model suggests that the path of steady growth is like a "knife-edge"—extremely narrow and difficult to maintain. A slight push in either direction leads to a cumulative divergence from equilibrium.
  • Divergence from Warranted Growth (G ≠ Gw):
    • If G > Gw (Actual growth exceeds Warranted growth): This implies that actual investment is greater than desired investment, or that aggregate demand is outstristripping productive capacity. Entrepreneurs face accumulating inventories and unsatisfied demand. They react by increasing investment, leading to an even faster actual growth rate, which further deviates from the warranted rate. This can lead to inflationary pressures and boom conditions, but ultimately unsustainable growth and resource shortages.
    • If G < Gw (Actual growth is less than Warranted growth): This signifies that actual investment is less than desired investment, or that productive capacity is growing faster than aggregate demand. Entrepreneurs experience unwanted inventory accumulation and excess capacity. Their response is to reduce investment, which further lowers the actual growth rate, leading to secular stagnation, deflationary conditions, and rising unemployment.
  • Divergence from Natural Growth (Gw ≠ Gn): The natural rate of growth (Gn) represents the maximum possible growth rate determined by the growth of the labor force and technological progress.
    • If Gw > Gn: The warranted rate of growth exceeds the natural rate. The economy's capacity to produce grows faster than its ability to achieve full employment with available resources. This leads to persistent excess capacity and secular stagnation, as the economy cannot absorb the growing productive potential due to insufficient labor or technological constraints.
    • If Gw < Gn: The warranted rate is less than the natural rate. The economy cannot generate enough demand to utilize its full potential workforce and technology, leading to secular inflation with growing unemployment, as capital accumulation lags behind labor force growth.
  • Policy Challenges: The knife-edge problem poses significant challenges for policymakers. Maintaining the precise balance required for stable growth often requires constant intervention to adjust savings rates, investment, and technological progress, which is difficult in practice.

The Harrod-Domar model, while foundational, has been criticized for the rigidity of its assumptions, such as fixed capital-output ratios and constant savings rates, which make the "knife-edge" problem inevitable. Later models, like the Solow-Swan model, introduced flexibility by allowing for factor substitution and technological progress, offering a more stable growth path.

Conclusion

The knife-edge problem in Harrod's model underscores the extreme fragility of balanced economic growth, where even minor deviations from the equilibrium of actual, warranted, and natural growth rates can trigger cumulative inflationary or deflationary spirals, leading to secular stagnation or unsustainable booms. This inherent instability highlights the model's rigid assumptions regarding fixed capital-output ratios and saving rates. While a significant critique, it paved the way for more nuanced growth theories by emphasizing the critical interdependencies between savings, investment, and productive capacity in achieving dynamic economic equilibrium.

Answer Length

This is a comprehensive model answer for learning purposes and may exceed the word limit. In the exam, always adhere to the prescribed word count.

Additional Resources

Key Definitions

Actual Growth Rate (G)
The actual observed rate of increase in an economy's real national income or GDP over a period.
Warranted Growth Rate (Gw)
The rate of growth required for the full utilization of an economy's productive capacity, where entrepreneurs' expectations about demand are realized, and there is no unintended accumulation or decumulation of capital stock. It's the rate at which producers are content to continue investing.
Natural Growth Rate (Gn)
The maximum possible rate of growth of output allowed by the increase in population (labor force) and technological progress, assuming full employment of the available labor force.

Key Statistics

According to the World Bank, global GDP growth is projected to decelerate to 2.6% in 2024, remaining stable at 2.7% in 2025-2026, which highlights the difficulty in maintaining steady, warranted growth rates in real economies amidst various global factors.

Source: World Bank Global Economic Prospects Report, June 2024

Examples

The Great Depression and the Knife-Edge

The Great Depression of the 1930s can be viewed as an illustration of the knife-edge problem. A sharp fall in investment (G < Gw) led to widespread excess capacity, declining demand, and spiraling unemployment, demonstrating how a deviation from the warranted growth path can lead to severe stagnation and deflation.

Emerging Market Volatility

Many emerging economies often experience boom-bust cycles, characterized by periods of rapid growth fueled by investment (G > Gw), followed by sharp contractions when capacity outstrips demand or capital flows reverse (G < Gw). This volatility reflects the practical challenges of maintaining a balanced growth path, echoing the knife-edge problem.

Frequently Asked Questions

How does Harrod's model differ from the Solow-Swan model?

Harrod's model assumes fixed capital-output ratios and constant savings rates, leading to the knife-edge instability. In contrast, the Solow-Swan neoclassical growth model allows for substitution between capital and labor, and incorporates diminishing returns to capital, leading to a more stable, convergent growth path towards a steady state.

Topics Covered

EconomicsEconomic GrowthGrowth ModelsEconomic Instability