Introduction to dynamic general equilibrium

This introduces the symposium on dynamic general equilibrium.     

Inequalities and fluctuations in a dynamic general equilibrium model

   Summary. In the present paper a tractable two-sector neo-classical growth model with heterogeneous agents is considered. The local dynamic properties of the equilibrium path are analyzed in relation with the underlying characteristics of the economy. In particular, the existence of fluctuations is related to the degree of heterogeneity in labor and in capital endowments. When applied to international trade theory, the analysis shows that free trade may distabilize a world economy that is originally stable under the regime of autarky. Received: December 28, 1998; revised version: October 29, 1999     

International linkage of inflation rates in a dynamic general equilibrium

This paper uses the Neumeyer?CYano??s monetary dynamic general equilibrium model to investigate the inter-connectivity of the world economy through bond holding beyond national borders. The possibility that unexpected inflation in one country transmits to another is demonstrated within a framework in which the nominal exchange rate is flexibly determined so that the purchasing power parity holds. Deflation can also be imported through the same channel. Whether inflation or deflation diffuses internationally depends on the level of fiscal deficit. Although a country may suffer from monetary disturbances from abroad, each country can completely defend itself by implementing appropriate fiscal policies.     

Tax incentives for investment: A dynamic general equilibrium perspective

Zusammenfassung In einem einfachen dynamischen Gleichgewichtsmodell mit überlappenden Generationen werden die Wachstumswirkungen von Investitionsförderungsmaßnahmen simuliert. Dabei stellt sich heraus, daß die Wirkung des Steuersatzes von den anderen Bestimmungen der Unternehmenssteuer abhängt. Wenn die Steuer bereits in der Ausgangslage durch großzügige steuerliche Absetzbarkeit der Investitionsausgaben investitionsfördernd ist, dann kann nur eine Erhöhung des Steuersatzes zusätzliche Investitionen induzieren. Der höhere Steuersatz steigert den Wert der Absetzbarkeit von Investitionsausgaben und schafft damit den Investitionsanreiz.Außerdem erweist sich die Erhöhung des Absetzbetrages als eine Investitionsförderungsmaßnahme, die sich selbst finanziert. Dennoch ist die Erhöhung des Absetzbetrages kein free lunch, weil die Reduktion der Anschaffungskosten für neues Kapital aufgrund einer einfachen Arbitrage-Bedingung auch das alte Kapital entwertet. Dieser Kapitalisierungseffekt von Investitionsförderungsmaßnahmen belastet die Kapitaleigner und wirkt daher wie eine versteckte Vermögenssteuer.

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An earlier version of the paper was presented at the annual meeting of the Austrian Economic Association 1988. I am indebted to J. R. Chen and the referees for valuable comments.     

Potential economic reforms in North Korea: a dynamic general equilibrium model

We use a dynamic general equilibrium model to examine hypothetical market reforms in North Korea. We model partial reform, in which producers choose capital allocations across sectors, with the government still fixing total capital. We also consider two full market reform scenarios. In one, public infrastructure investment remains unchanged, while, in the other, it increases substantially. In all scenarios, we assume a closed economy and a constant military size. Our simulations show little hope for the North Korean economy without boosting infrastructure. Although all of the reforms raise consumption, only significant increases in infrastructure investment bring positive economic growth.     

A general equilibrium analysis of parental leave policies

Despite mandatory parental leave policies being a prevalent feature of labor markets in developed countries, their aggregate effects in the economy are not well understood. To assess their quantitative impact, we develop a general equilibrium model of fertility and labor market decisions that builds on the labor matching framework of Mortensen and Pissarides (1994). We find that females gain substantially with generous policies but this benefit occurs at the expense of a reduction in the welfare of males. Leave policies have important effects on fertility, leave taking decisions, and employment. These effects are mainly driven by how the policy affects bargaining – young females anticipate future states with higher threat points induced by the policy. Because the realization of these states depends on the decisions of females to give birth and take a leave, leave policies effectively subsidize fertility and leave taking. We also find that generous paid parental leaves can be an effective tool to encourage mothers to spend time with their children after giving birth.     

简化一般均衡模型中一般均衡点的确定

经济学教材在讨论一般均衡的时候,往往以两个人、两种生产要素、两种产品这种最简单的社会作为研究对象,它们通常只阐述了一般均衡的存在,但都没有说明这种最简单的社会一般均衡点的确定即以此作为研究对象。     

Destabilization effect of international trade in a perfect foresight dynamic general equilibrium model

In the present paper, we consider a two-country, two-good, two-factor general equilibrium model with CIES nonlinear preferences, asymmetric technologies across countries and decreasing returns to scale. It is shown that aggregate instability and endogenous fluctuations may occur due to international trade. In particular, we prove that the integration into a common market on which countries trade the produced good and the capital input may lead to period-two cycles even when the closed-economy equilibrium is saddle-point stable in both countries.     

Taxation and employment in general equilibrium: A two-sector analysis

The literature on public finance has so far completely ignored the question of unemployment. In this paper, the traditional two sector model of tax incidence is utilized to develop a model in which the effect of various taxes can be analyzed and compared. On the basis of this model, we have compared and studied the effect on employment of various equal-yield and equal-rate taxes. Also, on the basis of reasonable empirical assumptions certain policy conclusions are stated.     

A dynamic general equilibrium model of pollution abatement under learning by doing

In 2013, Beladi et al. constructed a dynamic general equilibrium model of pollution, and characterized a steady-state equilibrium. In this paper, we extend Beladi et al.’s model to an even more general model in which the pollution abatement costs under learning by doing are taken into account. In our model, the instantaneous abatement costs depend on both the rate of abatement and the experience of using a technology. Our objective is to apply optimal control theory to investigate the dynamic general equilibrium model of pollution abatement, and derive the steady-state equilibrium properties and optimal levels of emission permits and pollution treatment.     

Renewable energy and unemployment: A general equilibrium analysis

Using a three-sector general equilibrium model, the impact of renewable electricity support policies on the rate of equilibrium unemployment is analyzed. In a simple two-factor version of the model, the paper shows analytically that renewable electricity support policies lead to an increase in the rate of unemployment. A numerical analysis is conducted with an expanded three-factor model. In this version, most scenarios analyzed also lead to an increase in equilibrium unemployment. However, the paper identifies conditions in which renewable energy support policies can decrease the rate of equilibrium unemployment. In particular, when the elasticity of substitution between capital and labor is low, when capital is not mobile internationally, and when the labor intensity of renewable generation is high relative to conventional generation, renewable electricity support policies may reduce the rate of equilibrium unemployment. The model is parameterized to represent the US economy, such that the magnitudes of quantities can be observed. Although there is some variation in the results depending on parameters, the findings suggest in general that reducing electricity sector emissions by 10% through renewable electricity support policies is likely to increase the equilibrium unemployment rate by about 0.1–0.3 percentage points.     

Skilled-unskilled wage inequality and unemployment: A general equilibrium analysis

The paper develops a static three sector competitive general equilibrium model of a small open economy in which skilled labor is mobile between a traded good sector and the non-traded good sector and unskilled labor is specific to another traded good sector. Capital is perfectly mobile among all these three sectors. We introduce involuntary unemployment equilibrium in both the labor markets and explain unemployment using efficiency wage hypothesis. We examine the effects of change in different factor endowments and prices of traded goods on the unemployment rates and on the skilled-unskilled relative wage. Also, we introduce Gini-Coefficient of wage income distribution as a measure of wage income inequality; and show that a comparative static effect may force the skilled-unskilled relative wage and the Gini-Coefficient of wage income distribution to move in opposite directions in the presence of unemployment.     

Advances in supervision technology and economic welfare: a general equilibrium analysis

We analyze the impact of improvements in the technology by which employers monitor their workers. It is unclear a priori whether workers should benefit or not from such advances. On the one hand, they decrease the total costs of hiring workers and stimulate labor demand. On the other hand, as supervision becomes less costly employers tend to substitute monitoring for wages as a means of motivating workers. We show how the impact on firms and workers of such technological progress depends on the nature of the labor market equilibrium (i.e. whether there is full employment or not) and the cost (technology) of monitoring. A distinct possibility is that unemployed workers welcome the changes in supervision because they promote employment, while employed workers resist such changes and the more intensive supervision they encourage.     

A bargaining model in general equilibrium

The goal of the paper is to present a simple model of rational endogenous household formation in a general equilibrium framework in which Pareto optimality at the economy level is not necessarily obtained. The simplest example of household formation is the case in which pairs of individuals engage themselves in a bargaining process on the division of some wealth: if an agreement on the distribution is (not) reached, we can say that the household is (not) formed. The vast majority of existing bargaining models predicts agreements on an efficient outcome. A seminal paper by Crawford (Econometrica 50:607–637, 1982) describes a very simple game with incomplete information in which, even with rational agents, disagreement causes welfare losses. We embed that model in a general equilibrium framework and present some results on equilibria both in the bargaining game and the associated exchange economy. Crawford’s results support Schelling’s intuition on the reasons of disagreement: it may arise if players’ commitments are reversible. Crawford shows that high probabilities of reversibility tend to favor the bargaining impasse, in fact with low probability. We prove that even if those probabilities are arbitrarily close to zero, disagreement is an equilibrium outcome, with high probability. That conclusion seems to be an even stronger support to Schelling’s original viewpoint. In the exchange economy model with that noncooperative bargaining game as a first stage, we present significant examples of economies for which equilibria exist. Because of disagreement, Pareto suboptimal exchange economy equilibria exist for all elements in the utility function and endowment spaces and they may coexist with Pareto optimal equilibria even at the same competitive prices.     

A general equilibrium analysis of the evolution of Canadian service productivity

Can the slowdown in total factor productivity (TFP) that we have experienced since the mid-seventies be ascribed to the increasing importance of services, or do we instead observe an improvement of productivity in the service sectors by way of learning-by-doing or specialization? We feel that such questions are best answered within a general equilibrium analysis of the whole economy, i.e. a structural view of the whole economy. We maximize the level of domestic consumption subject to commodity balances and endowment constraints. The Lagrange multipliers associated with the endowment constraints measure the marginal productivities of labor and capital. We declare these shadow prices to be the factor productivities. The main empirical contribution of this paper is a reexamination of the services paradox. In Canada, the sluggish productivity in services is limited to finance, insurance and real estate, and to business and personal services. Any attempt to resolve the services paradox may focus on these two sectors. Transportation, trade, and to a lesser extent communication are progressive sectors.     

Skilled–unskilled wage inequality: A general equilibrium analysis

The paper develops a static three sector competitive general equilibrium model of a small open economy in which skilled labour is mobile between a traded good sector and a non-traded good sector and unskilled labour is specific to another traded good sector. The capital is perfectly mobile among all these three sectors. We examine the effects of change in different factor endowments and of globalization on skilled–unskilled wage inequality. We find that the effect of a change of a factor endowment on wage inequality depends on the factor intensity ranking between two skilled labours using sectors and on the relative strength of the marginal effects on demand for and supply of non-tradable good. We also find that a decrease in the price of the product produced by skilled (unskilled) labour using traded good sector lowers (raises) the skilled–unskilled wage inequality.     

German Monetary Union: An historical counterfactual analysis

This paper views German Monetary Union as a sequence of large asymmetric shocks to the European economies. As such it can be analysed with a large, new-Keynesian macro-econometric model of the relevant economies such as NiGEM. The ‘news’ in the sequence of shocks is assessed by analysing contemporary, NiGEM based, forecasts, and important events are then ‘peeled-off’ in reverse order. The resulting counterfactual history analyses the effects of the collapse of the Soviet economy on the EC and Scandinavian economies, and it is argued that the recession in countries such as Finland was not primarily caused by trade effects. The costs of support programmes for East Germany are then removed, creating a negative fiscal shock. Finally the paper analyses the overall effects of the set of shocks. In each part of the counterfactual history, individuals from forward looking expectations and the authorities operate fiscal solvency rules and target monetary aggregates.