Von neumann facets and the dynamic stability of perfect foresight equilibrium paths in neo-classical trade models

I am grateful to two anonymous referees for useful comments on an earlier version of this paper.     

Forecasting UK international trade: A general equilibrium approach

Monthly retail unit sales of clothes washers and dryers in eastern Washington state were regressed on average employment during the current and preceding two months, the average advertised price of these appliances relative to the Consumer Price Index, the expected change in consumer stocks of such applicances for each year on the basis of a hypothetical rate of accumulation, and the unit volume of newspaper advertising in order to determine the viablity of alternative models for analysing and forecasting monthly sales in a localized retail market during the periods of growth, maturity, and decline in market demand.

Employment and advertising, the two most useful variables in the functions tested, were able to account for 70–75 per cent of the monthly sales variance for automatic washers and dryers. Employment elasticity coefficients, though not linearly related to income elasticity coefficients for these products, appear to be a useful measure of purchasing power for localized demand and forecasting functions. The average advertising elasticity for the products studied was 0.095, which was approximately equal to advertising expenditures as a ratio of the gross margin of furniture and house furnishings corporations and kitchen appliance departments of department stores for the period studied, in keeping with the Rasmussen hypothesis. Correction of the models for the presence of autocorrelation altered the explanatory power of some of the variables substantially and resulted in regression coefficients for some variables that were more nearly consistent with theoretical expectations.     

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     

Time consistency and optimal government policies in perfect foresight equilibrium

This paper develops a framework for determining optimal monetary and fiscal policies in perfect foresight equilibrium. Such equilibria have the property that all underlying demand and supply functions are derived from optimizing behavior, expectations are realized, and all markets clear. The time consistency of optimal policies derived under such circumstances is analyzed for a variety of alternative optimal policy problems. The general conclusion is that time consistency will prevail with respect to the optimization of any single policy instrument which does not appear explicitly in the indirect utility functions; otherwise time inconsistency will result. Monetary instruments are generally examples of the former, and fiscal instruments examples of the latter.     

Inflation aversion and macroeconomic policy in a perfect foresight monetary model

This paper reexamines monetary non-superneutrality and the optimality of the optimum quantity of money in the money-in-utility Sidrauski model with endogenous fluctuations of the time preference by introducing inflation aversion. It is shown that the long-run superneutrality of the standard Sidrauski model does not hold, and Friedman's optimum quantity of money is not optimal.     

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.     

Time-inconsistent preferences in a general equilibrium model

This paper introduces time-inconsistent preferences in a multicommodity general equilibrium framework with incomplete markets. The standard concept of competitive equilibrium is extended in order to allow for changes in intertemporal preferences. Depending on whether or not agents recognize that their intertemporal preferences change, agents are called sophisticated or naïve. This paper presents competitive equilibrium notions for economies with naïve agents and economies with sophisticated agents and provides assumptions under which both types of equilibria exist. Surprisingly, the set of naïve equilibria in societies populated by time-consistent households is not allocationally equivalent to the set of competitive equilibria. For sophisticated equilibria, the equivalence holds. Time-inconsistency also raises conceptual issues about the appropriate concept of efficiency. Choices have to be made concerning the incorporation of future preferences and the appropriate instruments to create Pareto improvements. For both naïve and sophisticated societies, we present four possible efficiency concepts. Suitable conditions are specified for which both naïve and sophisticated equilibria satisfy appropriate efficiency concepts.     

Introduction to dynamic general equilibrium

This introduces the symposium on dynamic general equilibrium.     

Effect of restricting asset trade in dynamic equilibrium models

Abstract. This paper shows that differences between the predictions of an international real business cycle model with complete markets and the predictions of a model where agents can trade only risk-free bonds depend heavily on three parameters: discount factor, and degrees of persistence and spillovers in productivity shocks. This sensitivity explains apparently paradoxical results previously obtained in the literature. Also, since empirical work finds that two of those parameters are not estimated precisely, the outcomes of quantitative studies comparing complete-markets and bond economies using only the point estimates of those parameters inherit the substantial uncertainty in the parameter estimates.     

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.     

Non-parametric counterfactual analysis in dynamic general equilibrium

In this paper, we examine non-parametric restrictions on counterfactual analysis in a dynamic stochastic general equilibrium model. Under the assumption of time-separable expected utility and complete markets all equilibria in this model are stationary. The Arrow-Debreu prices uniquely reveal the probabilities and discount factor. The equilibrium correspondence, defined as the map from endowments to stationary (probability-free) state prices, is identical to the equilibrium correspondence in a standard Arrow-Debreu exchange economy with additively separable utility. We examine possible restriction on this correspondence and give necessary as well as sufficient conditions on profiles of individual endowments that ensure that associated equilibrium prices cannot be arbitrary. Although restrictions on possible price changes often exist, we show that results from a representative-agent economy usually do not carry over to a setting with heterogeneous agents.     

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。     

Equilibrium, stability, and deficit financing in a simple nonlinear monetary model under perfect foresight

This paper shows how the nonlinearities associated with inflation taxes and interest payments give rise to problems of nonexistence and nonuniqueness of equilibria. For any choice of fiscal and monetary policy parameters, two sets of steady state equilibria are identified. One of these is associated with a nonzero rate of inflation and depends upon both the monetary and fiscal policy parameters. The other is associated with a stable price level and is independent of the monetary policy parameter. The stability properties resulting from the interaction between the sign and size of the budget deficit and alternative modes of deficit financing are analyzed. These depend critically upon the associated steady state and a variety of types of behavior may result.     

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.     

The value of money in a dynamic equilibrium model

Summary. This paper studies the pricing of money in an infinite-horizon economy with heterogeneous agents, incomplete financial markets and arbitrary borrowing restrictions. Purchases of the consumption good are subject to a cash-in-advance constraint. Under general conditions I show that the price of money is equal to its fundamental value, where this value is defined over all state-price processes that are compatible with the existence of no-arbitrage opportunities. This equality implies that the cash-in-advance constraint is binding infinitely often for all agents in the economy. The analysis highlights certain differences in the determination of the price of money with respect to models with money in the utility function that bear on the optimal implementation of economic policies.Received: 23 October 2003, Revised: 26 August 2004 JEL Classification Numbers: D52, E44, G12.M.S. Santos: This paper is an outgrowth of an earlier collaboration with Michael Woodford. I have also benefitted from various discussions with Eduardo Gimenez, Alejandro Hernandez, and Miguel Iraola. Some very useful comments by an anonymous referee are greatly appreciated.     

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.     

Forecasting South African macroeconomic variables with a Markov-switching small open-economy dynamic stochastic general equilibrium model

This paper seeks to identify evidence of regime-switching behaviour in the monetary policy response function and the variance of the shocks. It makes use of various specifications of a small open-economy Markov-switching dynamic stochastic general equilibrium model that is applied to South African data from 1989 to 2014. While the in-sample statistics suggest that some of the regime-switching models may provide superior results, the out-of-sample statistics suggest that the inclusion of various forms of regime-switching does not significantly improve upon the forecasting performance of the model. The results also suggest that the central bank response function has been consistently applied over the sample period.     

Harvesting in an integrated general equilibrium model

Harvesting of prey biomass is analyzed in an integrated ecological-economic system whose submodels, a predator–prey ecosystem and a simple economy, are microfounded dynamic general equilibrium models. These submodels are interdependent because the ecosystem responds to harvesting—through the reactions of optimizing individual organisms—by changing the provision of public ecosystem services to consumers. General analytical results are derived regarding the impact of harvesting policies on short-run equilibria of both submodels, on population dynamics, and on stationary states of the integrated model. A key insight is that prey biomass carries a positive ecosystem price which needs to be added as a tax mark-up to the economic price of harvested biomass to attain allocative efficiency. Further information on the dynamics is gained by resorting to numerical analysis of the policy regimes of zero harvesting, laissez-faire harvesting and efficient harvesting.

It “... is a matter of weighing costs and benefits of taking action, whether the action is the “inert” one of leaving resources alone in order to conserve them, or whether it involves exploiting a resource ... for so-called material ends”. Pearce (1976, p. 320)

Helpful comments from an anonymous referee are gratefully acknowledged. Remaining errors are the authors’ sole responsibility.