Walras' Law and Keynesian Macroeconomics

This paper examines the claim that Keynesian models violate Walras' law. Walras' law is founded in the logic of exchange. Standard statements misrepresent it, as it pertains to a monetary economy. Keynesian models are consistent with Walras' law once this misrepresentation is corrected. The law holds for both notional and effective demands. It also holds in unconstrained Walrasian equilibria, constrained Walrasian equilibria, and constrained non-Walrasian equilibria. The latter corresponds to a Keynesian conception of equilibrium: markets need not clear, but agents expectations must be fulfilled.     

Special issue: imperfect competition and contemporary macroeconomics. Editor’s introduction

This paper introduces the special issue by tracing out the history of imperfect competition in macroeconomics, particularly since 1980. It argues that in the search for a micro-foundation for nominal rigidity it was necessary to abandon the assumption of competitive equilibrium where all agents are price-takers. This led to models where firms and other optimising agents set wages and prices which were part of the new Keynesian economics of the 1980s. When these were combined with quantitative dynamic equilibrium methods it gave rise to the new neoclassical synthesis models which dominate macroeconomics today. The assumption of imperfect competition provides an equilibrium with different properties to the competitive, and one particular focus is on the relationship between the markup and the fiscal multiplier.

Endogenous employment rate in the efficiency wage shirking approach

The aim of New Keynesian theorists is to obtain Keynesian results on the basis of maximizing behavior. Accordingly, the New Keynesian shirking models depict a world of fully rational maximizing agents where equilibrium unemployment is the main consequence of the payment of efficiency wages. The problem is that oversimplified nature of most shirking models has until now prevented a full investigation of the interdependence of unemployment, the effort supplied by workers and labor demand. This article shows that the existence of this interdependence weakens the whole approach. In particular, when the unemployment rate is considered a truly endogenous variable, the stability of the macroeconomic equilibrium is generally incompatible with the existence of unemployment ascribed to the fact that firms pay efficiency wages.     

Keynesian models of deflation and depression revisited

This paper extends Tobin's [Tobin, J., 1975. Keynesian models of recession and depression. American Economic Review 65, 195–202] Keynesian analysis of deflation to include a range of additional channels through which deflation exacerbates Keynesian unemployment. The paper provides further theoretical reasons why downward price level adjustment may not solve the Keynesian problem. These arguments challenge the received wisdom that Keynes’ General Theory is a special case resting on downwardly rigid prices and nominal wages. This conventional wisdom has led many economists to recommend policies promoting downward flexibility. These policies have created an environment in which deflation is more likely, giving new relevance to Keynesian analysis of deflation.     

On characterizing equilibria of economies with externalities and taxes as solutions to optimization problems

Summary We characterize equilibria of general equilibrium models with externalities and taxes as solutions to optimization problems. This characterization is similar to Negishi's characterization of equilibria of economies without externalities or taxes as solutions to social planning problems. It is often useful for computing equilibria or deriving their properties. Frequently, however, finding the optimization problem that a particular equilibrium solves is difficult. This is especially true in economies with multiple equilibria. In a dynamic economy with externalities or taxes there may be a robust continuum of equilibria even if there is a representative consumer. This indeterminacy of equilibria is closely related to that in overlapping generations economies.An earlier version of this paper, entitled Externalities and Taxes in General Equilibrium, was presented at the North American meetings of the Econometric Society, June 1988, at the University of Minnesota. We are grateful to David Backus, Kenneth Judd, Patrick Kehoe, and Rodolfo Manuelli for helpful conversations. National Science Foundation grants SES 86-18325 and SES 87-08616 provided financial support.The views expressed herein are those of the authors and not necessarily those of the Federal Reserve Bank of Minneapolis or the Federal Reserve System.     

A tale of two traditions: Pierre Force's Self-interest before Adam Smith

Abstract

The paper compares different strands of New Keynesian Economics with regard to Keynes' original work. Two issues are analysed in detail. First, the explanations provided by Keynes and New Keynesians of nominal and real wage behaviour. Second, the different theories concerning the ability of flexible nominal wages in assuring full employment. It is argued that, although involuntary unemployment is a central problem both in Keynes' and New Keynesians' views, referring to the role of nominal and real wages in explaining unemployment, New Keynesians theories present important features that differ, sometimes substantially, from the concepts developed by Keynes in his General Theory.     

From equilibrium to disequilibrium: the genesis of Don Patinkin's interpretation of the Keynesian theory

This paper explains the reasons that led Don Patinkin to interpret the Keynesian theory in a disequilibrium perspective. We claim that the author adopted this position because he believed that the assumption of wage rigidity misrepresented the concept of involuntary unemployment and that, consequently, it had to be rejected. It is shown that this conclusion resulted from the confrontation of Patinkin, during the writing of his Ph.D. thesis, with the interpretations of the Keynesian theory argued respectively by Lange, Klein and Modigliani.     

Wage Flexibility and Unemployment: The Keynesian Perspective Revisited

Keynes' main concern in the General Theory is about the capacity of an economy to return to full employment equilibrium when subject to a (negative) demand shock. He maintains that money wages cuts may not help reabsorb unemployment, as they do not necessarily imply a fall in real wages. On the contrary, wage rigidity may be necessary for avoiding that a cumulative process propels the economy far away the full employment equilibrium. Co‐ordination failures in the investment‐saving market are behind this conclusion. However, the analysis is carried out within a static equilibrium framework. This paper is an attempt to focus on the problems of intertemporal co‐ordination arising within the context of a sequential economy. Our analysis of the out‐of‐equilibrium process of adjustment stirred by a shock allows to generalize the original Keynesian intuition. Unemployment emerges as the result of a lack of co‐ordination due to irreversibly constrained choices, and not only nominal but also real wage flexibility does not necessarily help to restore equilibrium. As a matter of fact, it may even be harmful, by triggering processes that make the economy diverge from equilibrium. Our analysis has important analytical implications as regards the role of market imperfections and the interpretation of the effects of monetary policy.     

Financial constraints and unemployment equilibrium

The aim of this paper is to show that a robust determination of unemployment equilibria can be based on the integration of credit rationing into a general equilibrium model. We first review some of the Keynesian macroeconomic models. We show that the problems bequeathed by Keynes’ legacy are only partially solved by the strand of the new Keynesian economics based on market imperfections and endogenous rigidities. In order to overcome these problems we refer to credit rationing. In particular, we build a simple general equilibrium model in which prices are–in principle–perfectly flexible and credit rationing implies unemployment equilibria.     

Comment: Lucas on involuntary unemployment

Keynes distinguishes three concepts: voluntary, frictional and(Keynesian) involuntary unemployment. Frictional unemploymentis a Classical form of involuntary unemployment (not voluntary,as Lucas suggests), and reflects the Marshallian, rather thanWalrasian, treatment of time and equilibrium. Lucas contradictsboth Keynes and Pigou in asserting that there are always immediatevacancies for unskilled labour, and abstracts from the veryproblem that Keynes seeks to address. If voluntary unemploymentis re-defined appropriately, as De Vroey helpfully suggestselsewhere, the prefix ‘involuntary’ is dispensable,not because all unemployment is voluntary, as Lucas would haveit, but because it is all involuntary.     

Equilibrium Unemployment in Australia: Concepts and Measurement*

This paper reviews some concepts of equilibrium unemployment and outlines the fundamental difficulties facing any attempt to produce estimates of the equilibrium rate of unemployment. It develops simple quasi-reduced form models of aggregate unemployment based on rival non market-clearing and market-clearing theories. These equations form the basis of an empirical model of aggregate unemployment in Australia since 1969. The empirical evidence suggests that most of the observed increase in unemployment can be attributed to cyclical rather than structural-frictional factors. However, stylized explanations of cyclical unemployment exclusively along the lines of Keynesian, Classical or equilibrium search theory are found inadequate.     

A New Look at Old Issues: Keynesian Unemployment Revisited

Economists have long sensed that the failure of goods markets to clear is a prime reason for the emergence of unemployment. The novel feature of this paper is that it discovers a new theoretical basis proving this assumption. The paper claims that in a permanently growing economy, unemployment may be due to the failure of the markets to provide consumers with ever‐new varieties of consumption goods. As the difference between desired and available product widens, effective demand declines, leading on the one hand to unemployment, which exhibits a decisive Keynesian flavour as it is the result of goods markets failures, and on the other hand to an increase in involuntary savings, which provide the financial basis to foster innovation and growth. As the higher growth rate increases the probability of failures in effective demand, it further increases unemployment and increases involuntary savings, resulting in a finite multiplier process.     

Patinkin as a reader of Keynes’ General Theory: Are wage cuts a good remedy to unemployment?1

Abstract

This paper analyses Patinkin's appraisal of Keynes’ concept of involuntary unemployment while focusing on his reading of the General Theory Chapter 19. On several critical issues, Patinkin departs from Keynes’ original matters of concerns. He leans against an individual criterion for unemployment and implicitly endorses Wicksell's understanding of voluntary unemployment as chosen leisure. His appraisal of involuntary unemployment as a disequilibrium phenomenon ultimately relies on nominal rigidities and assumes the existence of a competitive adjustment process. On all these three critical points, Patinkin departs from Keynes but also initiates the contemporary New Keynesian programme that went even further from Keynes.     

The Law of Comparative Advantage Without Social Utility Functions

This paper derives sufficient conditions under which the Law of Comparative Advantage and the General Law of Comparative Advantage are true when the preferences of the trading countries may not be represented by "well-behaved" social utility functions. It shows that in the neoclassical framework with convex technologies, profit maximization and Walras' Law, the laws of comparative advantage under a natural trade are still valid if either the General Law of Demand or the Weak Axiom of Revealed Preference holds, or if losers are compensated using lump-sum transfers or consumption taxes.     

Uncertain vacancies and unemployment equilibria

The paper develops a dynamic implicit contracts model to consider the rationale for rejections of qualified applicants in the search process and to explore the implications for unemployment rates under equilibrium in the labor market. The implications are similar to traditional search models, although the effects of stochastic output prices upon equilibrium unemployment can be directly determined. A nearly invariant natural rate result pertains. A stochastic sales-rations variant of the model leads to equilibrium unemployment rates that depend upon both neoclassical and Keynesian factors.     

A Note on the Stability of Full Employment

This note investigates the stability properties of the Keynesian macro-model under the assumption of slow adjustment of nominal wages and expectations of inflation. First, the stability conditions of the 'flexible-interest-rate regime' are related to those derived by Cagan (1956) and Tobin (1975), emphasising the potentially destabilising effect of wage flexibility. Then, taking the restriction of a zero floor to the nominal interest rate into account it is shown that the model exhibits 'corridor stability'. From this follows the conjecture that increasing the rate of steady-state inflation makes it 'more probable' that the system returns to full-employment after a shock of given size.     

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.     

Dynamic complexity in a Keynesian growth-cycle model involving Harrod's instability

This paper develops a Keynesian macrodynamic model, where some recent reinterpretations of Harrod's dynamics are embodied. Its main purpose is to prove that Harrod's instability principle may give rise to a chaotic motion (specifically a il'nikov scenario) around two equilibrium points: a steady-state unstable equilibrium, whose value depends on parameters defining the technical-progress dynamics, and a stationary state of zero growth. Furthermore, since it allows for a variable growth rate of labor productivity and assigns a key role to expectations, this model comes closer to modern theories of economic growth and endogenous business cycle.     

Wage rigidities and unemployment fluctuations in a small open economy

This study analyzes the implications of the monetary policy for the unemployment rate in a small open economy. We introduce nominal wage rigidities and unemployment into the small open economy version of the dynamic stochastic general equilibrium model. We derive three main findings. First, under nominal wage rigidities, the cyclical properties of the calibrated model, in response to a productivity shock, are consistent with the empirical evidence on a decrease in employment and an increase in real wages. Second, for all the variables considered, the Taylor rule tracks the optimal policy better than the simple rule with unemployment as an argument. Third, regardless of the output or unemployment gap being targeted, it is not optimal that central banks respond to nominal exchange rate variations.     

Imperfectly competitive cycles with Keynesian and Walrasian features

We consider a multi-sector overlapping generations model with oligopolistic firms in the output markets and wage-setting trade unions in the labour markets. A coordination problem between firms creates multiple temporary equilibria which are either Walrasian or of the Keynesian unemployment type. There exist many deterministic and stochastic equilibrium cycles fluctuating between Keynesian recession and Walrasian boom periods with arbitrarily long phases in each regime. The cycles are in accordance with certain empirical regularities. Money is neutral and superneutral, but appropriate countercyclical fiscal policies stabilize the cycles in a textbook Keynesian way.