Vacancies, unemployment, and the Phillips curve

The canonical new Keynesian Phillips curve has become a standard component of models designed for monetary policy analysis. However, in the basic new Keynesian model, there is no unemployment, all variation in labor input occurs along the intensive hours margin, and the driving variable for inflation depends on workers’ marginal rates of substitution between leisure and consumption. In this paper, we incorporate a theory of unemployment into the new Keynesian theory of inflation and empirically test its implications for inflation dynamics. We show how a traditional Phillips curve linking inflation and unemployment can be derived and how the elasticity of inflation with respect to unemployment depends on structural characteristics of the labor market such as the matching technology that pairs vacancies with unemployed workers. We estimate on US data the Phillips curve generated by the model. While we can reject the baseline new Keynesian Phillips curve in favor of the search-frictions specification, we show it is still too stylized to fully describe the dynamics of firms’ marginal costs.     

Conflict in the labor market: Seniority rules and unemployment

This paper examines the macroeconomic implications of two labor-market institutions that play an important role in worker-management interactions: seniority-based layoffs and majority voting on wage proposals. Together, these make the median worker, rather than the marginal worker, the important decision maker for wage and employment outcomes. Since he is risk-averse, he will trade off higher wages for greater security of employment; therefore, the equilibrium level of unemployment will be much less than 50%, but higher than the conventional natural rate of unemployment. Median-worker behavior helps to explain both the greater frequency of excess supply than excess demand (59.4% versus 40.6% of the time since 1890) and the wage concessions of 1981–1983. A new Phillips curve is derived which incorporates systematic influences of the size of the labor force (to correct for the inappropriate measure of excess supply) and Tobin's “q” variable (to measure the risk of unemployment for the median worker). With U.S. data for 1957–1983, this new Phillips curve has a higher explanatory power than the traditional one. Additional forces that influence wages and employment in this setting are identified: firms have an incentive to bargain actively over wages rather than accept union demands passively and senior workers have a “social contract” with junior workers that reduces the extent to which the former exploit the latter.     

Inflation-unemployment tradeoff and regional labor market data

We estimate a linear and a piecewise linear Phillips curve model with regional labor market data for West German and Neue L?nder. Employing regional observations allows us to country difference the data. This eliminates, under the assumption of homogeneous L?nder, supply shocks and changes in the formation of expectations as possible identification failures. With seemingly unrelated regressions we find a flat Phillips curve in the Neue L?nder. For the West German L?nder a piecewise linear model with a higher inflation-unemployment tradeoff for the regime of low unemployment rates fits the data very well. The results hold true if we control for endogeneity of the unemployment rate. With a kinked but upward sloping aggregate supply curve there seems to be room for stabilization policies, at least in the range of aggregate demand shifts that our data covers. First version received: December 2000/Final version accepted: Jan. 2002 RID="*" ID="*"  An earlier version of this paper was written while the second author was at Universidad Carlos III in Madrid. He thanks Juan Dolado and is grateful for financial support by the TMR Program on New Approaches for the Study of Economic Fluctuations. He would also like to thank Bertrand Koebel for his critique on that earlier version. Both authors are grateful to an editor and three anonymous referees for very helpful comments. Moreover, we wish to thank participants of the seminar on Quantitative Wirtschaftsforschung by Jürgen Wolters and Peter Kuhbier, Freie Universit?t Berlin. Finally we profited from discussions with participants at the conferences of the European Economic Association in Lausanne and the Verein für Socialpolitik in Magdeburg where the paper was presented. Of course, all errors are to our sole responsibility.     

International Trade and the Connection between Excess Demand and Inflation

This paper demonstrates that globalization, taking the form of a higher import component of consumption and a larger export component of GDP, is the cause of the apparent breakdown in the relationship between excess demand and inflation. Within a parsimonious empirical framework, we show that increasing openness of the US economy is all that is needed to re‐establish the relationship between inflation and capacity utilization. We also show that international trade has a significant separate influence on inflation, and is important for identifying a Phillips curve relationship between unemployment and inflation.     

Market power in a billateral monopoly model of industry wage determination

A variant of the Hicksian bilateral monopoly model is constucted. We show that market power can, in principle, affect the rate of change of money wages quite independently of unemployment, hence deserves a place in the derived wage equation, contrary to the postulate of the excess demand model. Our modified Hicksian model is submitted to a test and found to be consistent with the empirical evidence. Finally, some implications for the Phillips curve analysis are discussed.     

Prospects for inflation in a high pressure economy: Is the Phillips curve dead or is it just hibernating?

As the US labor market has tightened beyond full employment with relatively little evidence of inflation pressure, observers are increasingly inclined to declare the demise of the Phillips curve, that is, the flattening of its slope to zero. This paper reviews a substantial range of empirical evidence on this point, by assessing the performance of the conventional expectations-augmented Phillips curve for both prices and wages, based on both historical macro or national level data and panel data for states and MSAs (cities). National data going back to the 1950s and 60s yield strong evidence of negative slopes and significant nonlinearity in those slopes, with slopes much steeper in tight labor markets than in easy labor markets. This evidence of both slope and nonlinearity weakens dramatically based on macro data since the 1980s for the price Phillips curve, but not the wage Phillips curve. However, the endogeneity of monetary policy and the lack of variation of the unemployment gap, which has few episodes of being substantially below zero in this sample period, makes the price Phillips curve estimates from this period less reliable. At the same time, state level and MSA level data since the 1980s yield significant evidence of both negative slope and nonlinearity in the Phillips curve. The difference between national and city/state results in recent decades can be explained by the success that monetary policy has had in quelling inflation and anchoring inflation expectations since the 1980s. We also review the experience of the 1960s, the last time inflation expectations became unanchored, and observe both parallels and differences with today. Our analysis suggests that reports of the death of the Phillips curve may be greatly exaggerated.     

Rational expectations macro models with possible steady-state inflation andunemployment

Consider an economy exhibiting the conventional IS-LM relationships, Phillips curve type price adjustment equations, and rational inflationary expectations. We demonstrate that starting from the disequilibrium situation of either the Keynesian unemployment or the demand inflation type in which money is nonneutral, the economy converges to an equilibrium situation in which all markets clear. On the other hand, starting from the disequilibrium situation of the classical unemployment type in which money is nonneutral, the economy converges to a state of rest in which the goods and the labor markets remain out of equilibrium. However, money is neutral at this state of rest.     

Does immigration affect the Phillips curve? Some evidence for Spain

The Phillips curve has flattened in Spain over 1995-2006: Unemployment has fallen by 15 percentage points, with roughly constant inflation. This change has been much more pronounced than elsewhere. We argue that this stems from the immigration boom in Spain over this period. We show that the New Keynesian Phillips curve is shifted by immigration if natives’ and immigrants’ labor supply elasticities and bargaining power differ. Estimation of this curve for Spain indicates that the fall in unemployment since 1995 would have led to an annual increase in inflation of 2.5 percentage points if it had not been largely offset by immigration.     

The economics of the Phillips curve: Formation of inflation expectations versus incorporation of inflation expectations

This paper examines the theory of the Phillips curve, focusing on the distinction between “formation” of inflation expectations and “incorporation” of inflation expectations. Phillips curve theory has largely focused on the former. Explaining the Phillips curve by reference to expectation formation keeps Phillips curve theory in the policy orbit of natural rate thinking where there is no welfare justification for higher inflation even if there is a permanent inflation–unemployment trade-off. Explaining the Phillips curve by reference to incorporation of inflation expectations breaks that orbit and provides a welfare economics rationale for Keynesian activist policies that reduce unemployment at the cost of higher inflation.     

The long-run Phillips curve and non-stationary inflation

Modern theories of inflation incorporate a vertical long-run Phillips curve and are usually estimated using techniques that ignore the non-stationary behaviour of inflation. Consequently, the estimates obtained are imprecise and unable to test the veracity of a vertical long-run Phillips curve. We estimate a Phillips curve model taking into account the non-stationary properties in inflation and identify a small but significant positive relationship between inflation and unemployment. The results also provide some evidence that the trade-off between inflation and the rate of unemployment in the short-run worsens as the mean rate of inflation increases.     

Does a factor Phillips curve help? An evaluation of the predictive power for U.S. inflation

This article evaluates various models’ predictive power for U.S. inflation rate using a simulated out-of-sample forecasting framework. The starting point is the traditional unemployment Phillips curve. We show that a factor Phillips curve model is superior to the traditional Phillips curve, and its performance is comparable to other factor models. We find that a factor AR model is superior to the factor Phillips curve model, and is the best bivariate or factor model at longer horizons. Finally, we investigate a New Keynesian Phillips curve model, and find that its forecasting performance dominates all other models at the longer horizons.     

Does Inflation Grease the Wheels of Adjustment? New evidence from the US economy

This paper presents a new interpretation of the Phillips curve that rests on the process of nominal wage adjustment in a multi-sector economy. Nominal demand growth causes inflation in sectors with full employment, but it speeds up the process of employment creation in sectors with unemployment. As a result, demand-pull inflation is associated with both a reduction in the duration of unemployment and the economy wide average rate of unemployment. The paper provides empirical evidence from the US economy consistent with this claim.     

Phillips curve in US: New insights in time and frequency

The paper explores the co-movement between unemployment and inflation rates in US by using a battery of wavelet tools. The dataset covers the period 1945Q1–2017Q4, having quarterly frequency.The main findings reveal a not stable Phillips curve in US, depending on economic context, seasonality and time-persistence. The Phillips curve is not validated during economic turbulences, while it works over expansion economic periods. Even so, the trade-off between unemployment and inflation is unstable under seasonal growth components and time-persistence, running from short- to medium-term. No link between unemployment and inflation is found in the long-term.     

Inflation and Unemployment in General Equilibrium*

When labor is indivisible, there exist efficient outcomes with some agents randomly unemployed, as in Rogerson (1988) . We integrate this idea into the modern theory of monetary exchange, where some trade occurs in centralized markets and some in decentralized markets, as in Lagos and Wright (2005) . This delivers a general equilibrium model of unemployment and money, with explicit microeconomic foundations. We show that the implied relation between inflation and unemployment can be positive or negative, depending on simple preference conditions. Our Phillips curve provides a long‐run, exploitable, trade‐off for monetary policy; it turns out, however, that the optimal policy is the Friedman rule.     

Evolution of infant and child mortality in Chile: a model

The author contends that birth rate and infant and child mortality rates are jointly determined by demographic, economic, health care, and other influences. Working under this structural assumption, a multiequation model is developed, estimated, and simulated, in which real earnings, unemployment, midwife visits, access to cheap energy, public health expenditures, and degree of urbanization are determinant factors of declining infant and child mortality in Chile. Most notably, mortality declined during a period of increasing unemployment and falling living standards for at least part of the population. The study found all 3 rates to be jointly determined, but by different variables. Specifically, unemployment affected birth rate and child mortality rate, while declining infant mortality was based upon midwife visits, health expenditure, and access to cheap energy. At the policy level, trade-offs often result between infant and child mortality, especially where high birth rates prevail. Where movement along the Phillips curve is possible, higher earnings should be preferred over lower unemployment for the benefit of infant and child mortality. Preferred policy would week to provide a carefully balanced combination of better earnings and more midwife visits.     

Unemployment–inflation trade-offs in OECD countries

Inflation and unemployment reduce welfare of individuals and should be as low as possible in any economy. Cointegration and Granger causality tests suggest that there are long run relations between these two variables among the OECD economies. While rates of unemployment vary significantly among these economies, rates of inflation have stabilised at lower rates as a result of inflation targeting policies adopted in them during the last two decades. The Phillips curve phenomena are still empirically significant for 28 out of 35 of these OECD economies in country specific regressions; in fixed and random effect panel data models and in a panel VAR model for 1990:1 to 2014:4. Country specific supply curves and Okun curves are consistent to thin Phillips curve relations. Leftward shifts in the Beveridge and Phillips curves require labour market reforms balancing between job creations and destructions. Complementing macro stimulations by microeconomic structural and institutional reforms can bring efficiency in bargaining for wages and employment among firms and workers to make unemployment–inflation trade-offs more significant and relevant in these economies.     

Identification and dimension of the NAIRU

In this paper, we have re-examined the identification of the NAIRU and presented a well-defined reduced form for analysing the equilibrium unemployment rate, using a cointegrated VAR model. We have stated that the NAIRU estimates using the conventional reduced form (or Phillips curve) models are misleading since the natural rate of unemployment cannot be considered as a fixed point calling for the ceteris paribus assumption for all the data involved. This implies that the NAIRU estimates are unable to provide valuable information on the labour market status.     

A Search Model of Unemployment and Inflation*

This paper introduces money into the standard labor‐matching model. A double‐coincidence problem makes money necessary as a medium of exchange. In the long run, a rise in the growth rate of money leads to higher inflation and higher unemployment, such that the long‐run Phillips curve is not vertical. The optimal monetary growth rate decreases with greater worker bargaining power, the level of unemployment benefits, and the payroll tax rate.     

Learning to believe in nonrational expectations that support pareto-superior outcomes

I consider the prototype New Keynesian macroeconomic model with subjective demand expectations of firms. In this model the firms' objective demand is log-linear in their relative price. Firms believe that their demand curve is linear or log-linear in their absolute price. They estimate the parameters of this curve by least squares from past observations on prices and quantities. The wage rate either clears the labor market given firms' demand perceptions or is given in the short run and changes according to a linear Phillips curve. In either setup of the model the interplay between learning and price setting confirms the subjective model. Among the long-run equilibria are solutions at which the representative household attains a higher level of utility as compared to the rational-expectations outcome. If the supply of labor depends upon the real wage, money is not neutral.     

Policy implications of a non-linear Phillips curve in a stochastic environment

When the Phillips curve is non-linear, fluctuations of the unemployment rate below the mean will have a larger impact on the inflation rate than fluctuations above the mean. This paper shows that this causes conventional measures of the “natural unemployment rate” to underestimate the mean unemployment rate consistent with stable inflation in the long run. More importantly, it reveals a potential long-run trade-off between unemployment and economic stability.