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23 September, 2021

Output and Inflation, Inflationary Bias, Properties of the Phillips Curve

 Output and Inflation

 Aggregate demand determines the actual output of goods and services produced. Given a fixed potential output for any short-term period, aggregate demand will thus determine the unemployment rate. In the simple model used above, when aggregate demand exceeds potential output, an inflationary gap exists and the price level rises. However, in the real world, inflation occurs at or below full employment.

 The inflation rate for a given time period is the per year change in price level: INFT = (PT+1-PT)/PT. The price level represents the overall price of all goods and services taken together. The most commonly cited measure of the average price level is the Consumer Price Index (CPI). This provides an index of typical consumer products purchased by average households. However, it does not take into account the roughly one-third of total output represented by investment expenditure. The price level index which includes all goods and services in the economy is called the GDP deflator.

 Most firms set their prices based on the anticipated costs of production and the anticipated demand for the goods and services produced. These expectations are based on past performance, economic indicators, and the thought processes of managers. The most recent level of aggregate demand is one of the key factors determining these expectations. The higher aggregate demand, the higher the firm’s own recent demand is likely to have been, and the higher its expectations of future demand. In addition, the higher the aggregate demand, the higher the firm’s expectations about the cost of labor, materials and other factor inputs. As a result, the higher recent aggregate demand has been, the higher a firm is likely to set its prices. If all firms operate in this fashion, then the rate of increase of the price level will be directly and positively related to the level of aggregate demand.

 In any short run period, therefore, aggregate demand will influence both the unemployment rate and the inflation rate. As a result, there will be an implied relationship between unemployment and inflation. For each possible level of aggregate demand, there will be corresponding rate of unemployment and of inflation. The graph of unemployment against inflation for a varying level of aggregate demand in the short run is called a Phillps Curve:


In the real world, the constraint that Y cannot exceed Q is somewhat relaxed, because of the way we have defined full employment. Facing demand exceeding Q, some fatories and workers can work overtime and the average frictional and structural rates of unemployment will fall because there are so many unfilled vacancies.  Thus the economy in the short run can ‘squeeze’ some extra production out of its resources. However, the cost of this economic ‘boom’ is that factor prices will rise and consequently the price level will rise at a rate higher than normal. This is represented by the increasing slope of the Phillips Curve as unemployment goes above UF.

 One might expect inflation at full employment to be zero, because at over-full employment, scarcity of factors of production will lead to rising demand and thus rising prices; at under-full employment, abundance of factors of production will lead to reduced demand and thus reduced prices; and at exact full employment, demand and supply will be in equilibrium, resulting in stable prices. Empirically, however, the position of the Phillips Curve has been such that some positive rate of inflation occurs at the full emploment rate of unemployment. This is caled the inflationary bias.

 Inflationary Bias

 The labor market is quantitatively the most important factor of production, since it accounts for roughly two-thirds of all income payments by firms. The ‘labor market’ is in fact many different markets, as workers are specialized in many different skills. At any given time, there will probably be some skills that have excess demand while other skills have excess supply. All these markets operate imperfectly, in the sense that wages do not adjust immediately to equate supply and demand. This is particularly evident in many markets where there is excess supply; wage rates are observed not to respond to the downward pressure. Wage rates appear to be ‘sticky’ in the face of high unemployment.

 Many reasons are given for this observation. One is that in many labor markets, wages are determined by collective bargaining between unions and management, sometimes for an entire industry. The political nature of union decision-making is such that a reduction in wages is exceedingly difficult to obtain, regardless of economic circumstances. A reduction in wages makes everyone somewhat worse off. However, a failure to reduce wages makes certain people (those laid off) much worse off, to the benefit of others (those who keep their jobs). If the economic downturn is anything short of catastrophic, less than half the workers are likely to be laid off. If the workers have a good idea who will be axed, then the majority of workers, voting in their own self-interest, will elect to keep their current wages. In addition, those workers with the most seniority are the least likely to be laid off, therefore the most likely to oppose wage reductions—but this group of people are also likely to hold the most influential positions within the union. Another explanation is that given that the government will pay unemployment benefits for a while, a typical worker may be better off accepting work at a high wage in the knowledge that there will be occasional layoffs, than accepting work at a lower wage that continues indefinitely.

 This rigidity does not occur in the upwards direction. Workers are always generally happy to accept more money. As discussed previously, full employment does not mean zero unemployment. It is still possible (even likely) that under full employment, some labor markets will have excess demand while others will have excess supply. In markets with excess demand, wages can be expected to rise relatively quickly, but in markets with excess supply, wages will only fall slowly, if at all. Firms which face excess demand for labor will expect their costs to rise and will therefore set higher prices. However, firms which face excess supply of labor will not have a reasonable expectation of falling costs, and will therefore leave prices unchanged. This will result in an increase in the average price level.

 If unemployment rates are high enough, the downward pressure on wages will be sufficient to overcome downward wage rigidity and wages and prices will fall. There have been very few occasions where this has occurred; the most striking example is the Great Depression in the 1930s, where, in the face of extremely high unemployment rates, the inflation rate was negative for several years on many countries.

 Properties of the Phillips Curve

 The Phillips Curve has another important property: It is not linear. Its curvature suggests that the nature of the trade-off between inflation and unemployment depends on where the economy currently falls on the curve. At high rates of unemployment, the curve is relatively flat: It takes a large increase in unemployment to effect a small increase in inflation. At lower rates of unemployment, a small change in unemployment will result in a much larger change in inflation.

 This can be explained as follows: If the initial condition is high unemployment, then most labor markets will be characterized by excess supply and very few by excess demand. If unemployment increases, the excess demand in those few markets will be reduced, so those few firms will still increase their prices but not by as much as they would have otherwise. However, the downward rigidity of the labor markets already experiencing excess supply will be such that the firms operating in those markets will not change their prices. As a result, the change in the rate of inflation will be small. However, if the initial condition is very low unemployment, most labor markets will be characterized by excess demand and very few by excess supply. If unemployment increases, the upward pressure on wages will be decreased, perhaps sharply in those cases where the initial excess demand was severe. Since very few labor markets were in excess supply conditions, most firms will still expect an increase in labor costs, but less (possibly much less) than previously. As a result, price increases for the majority of firms will be less than they would have been, and there will be some firms which might otherwise have set very sharp price increases who no longer need to do so. The reduction in the rate of incrase of the average price level will be very noticeable.

 The existence of a Phillips Curve causes a problem for government policymakers. A choice must be made between the evils of unemployment and of inflation. Policy tools that affect aggregate demand cannot be used to fight inflation and unemployment at the same time. If aggregate demand is controlled to achieve full employment, some inflation will generally result. If aggregate demand is controlled to eliminate inflation, high unemployment will generally result.

Employment vs. Inflation in the Long Run

 The Phillips Curve is a short run relationship. In the long run, the Phillips Curve can shift its position and change its curvature. Thus, the rate of inflation in the long run depends not only on where on the Phillips Curve the economy is operating, but also where the Phillips Curve is positioned. The fact that the Phillips Curve can shift over time causes some difficulty in interpreting historical data, because it is hard to know whether any given change reflects a shift in or a movement along the Phillips Curve. A moving Phillips Curve can result in a situation where unemployment and inflation move in the same direction. This has caused some to conclude that there is no Phillips Curve. It is important to remember that the Phillips Curve is a short run relationship.

 However, short-run decisions should not be made in the absence of consideration of their long-run impacts. It might be possible, in normal situations, that high unemployment and low inflation today might permit preferred combinations of unemployment and inflation that would not have been possible otherwise. In such situations, the appropriate sort-term policy goal might be to choose an aggregate demand target below potential output.