This blog post explores how to model recessions in an economy with flexible prices, focusing on the effects of aggregate demand shocks on employment across different sectors and counties. It discusses the relationship between demand shocks, employment in tradable and non-tradable sectors, and the importance of price adjustments in maintaining full employment during economic downturns.
In this sixth installment of our series on the effects of aggregate demand shocks on employment, we delve into how to model a recession in an economy where prices are flexible. While we acknowledge that not all prices are flexible, this framework serves as a useful benchmark for understanding economic dynamics during a recession.
When a recession hits, each county experiences different shocks to demand, denoted as delta. This delta represents a decrease in overall demand within the economy. In normal circumstances, demand is equal to one, but during a recession, it adjusts to one minus delta. The average size of these shocks is referred to as delta bar, which will be significant in our analysis.
The response of the economy to these demand shocks is contingent upon the flexibility of prices. Adjusting prices is crucial for mitigating unemployment, as it allows different sectors to expand or contract in response to changing demand.
In a recession, the equilibrium is not symmetric; each county faces unique demand shocks. Despite these differences, the no-arbitrage condition for labor demand indicates that relative prices must remain consistent with the original equilibrium. The ratio of prices must equal a over b, similar to previous solutions.
To analyze the labor market, we begin with market clearing in the non-tradable sector. The total output of non-tradable goods in a county must equal total consumption. From consumer behavior, we know that total consumption demand is a function of market demand and price. By manipulating these relationships, we can derive expressions for labor in both the non-tradable and tradable sectors.
Interestingly, while the price of non-tradable goods may vary across counties, the relative price of tradable to non-tradable goods remains constant. This uniformity leads to consistent non-tradable prices across counties, despite individual variations in demand shocks.
The analysis reveals that larger demand shocks lead to significant decreases in non-tradable sector employment. Conversely, counties experiencing milder shocks may see an increase in non-tradable employment, even during a recession. This dynamic illustrates that the severity of the shock relative to the average shock is critical in determining employment outcomes.
As demand decreases, nominal wages also decline, which is essential for the economy to adapt to lower demand levels while maintaining full employment. This adjustment helps prevent unemployment, a critical factor in economic recovery.
In summary, our exploration of recessions in a flexible price environment highlights the importance of price adjustments in mitigating unemployment. As demand shocks vary across counties, the ability of prices and wages to adjust plays a pivotal role in reallocating labor between sectors. In our next video, we will examine the implications of fixed prices on the economy, particularly in the short term before firms and individuals can adapt to changing conditions.
