The effects of the property tax: A general equilibrium simulation

This paper uses a general equilibrium model of residential land use to study the effects of the property tax in a closed city. Two different specifications of the production technology for housing are used, and are found to yield similar results. The model is too complicated to be solved in closed form, but an efficient computational technique which utilizes a simplicial search algorithm was developed to solve it numerically. This type of model and computational technique can be applied to a wide variety of practical issues in urban economics.     

Positive welfare effects of trade barriers in a dynamic partial equilibrium model

We develop a simple two-region, cobweb-type dynamic partial equilibrium model to demonstrate the existence of optimal, possibly non-zero, trade barriers. A pure comparative statics analysis of our model suggests that a reduction of trade barriers, modeled as small but positive import tariffs, always enhances welfare. However, taking a dynamic perspective reveals that nonlinear trade interactions between two regions may generate endogenous price fluctuations which can hamper welfare. Finally, we allow special interest groups, such as consumers or producers from these two regions, to lobby for a particular level of trade barriers. Our model predicts that time-varying trade barriers may be another channel for market instability.     

The cournot-nash and cooperative solutions in the harvesting of a fish stock

The questions of optimal extinction and of market imperfections in the harvesting of a fish stock is analyzed using two different objective functions, one discounted utility of fish consumption and the other discounted profit, both over an infinite horizon.     

The general equilibrium effects of congestion externalities

This is the second in a series of three articles on the topic of congestion externalities. We use an urban general-equilibrium model to compute two types of cities: the market-equilibrium city, in which congestion externalities occur, and the optimum city. The optimum city has a more dispersed distribution of employment, and a more concentrated distribution of residence. If the population of the city is fixed, the optimum pricing of transportation generates a per capita welfare gain of $3.78 per week. If the population of the city is endogenous, the internalization of congestion externalities causes the city to grow.     

Estimating dynamic equilibrium economies: linear versus nonlinear likelihood

This paper compares two methods for undertaking likelihood‐based inference in dynamic equilibrium economies: a sequential Monte Carlo filter and the Kalman filter. The sequential Monte Carlo filter exploits the nonlinear structure of the economy and evaluates the likelihood function of the model by simulation methods. The Kalman filter estimates a linearization of the economy around the steady state. We report two main results. First, both for simulated and for real data, the sequential Monte Carlo filter delivers a substantially better fit of the model to the data as measured by the marginal likelihood. This is true even for a nearly linear case. Second, the differences in terms of point estimates, although relatively small in absolute values, have important effects on the moments of the model. We conclude that the nonlinear filter is a superior procedure for taking models to the data. Copyright © 2005 John Wiley & Sons, Ltd.     

A dynamic equilibrium model of search, production, and exchange

We study a general equilibrium model where agents search for production and trading opportunities, that generalizes the existing literature by considering a large number of differentiated commodities and agents with idiosyncratic tastes. Thus, agents must choose nontrivial exchange as well as production strategies. We consider decreasing, constant, and increasing returns to scale in the matching technology, and characterize the circumstances under which there exist multiple steady state equilibria, or multiple dynamic equilibria for given initial conditions. We also characterize the existence of dynamic equilibria that are limit cycles. Equilibria are not generally optimal, and when multiple equilibria coexist they may be ranked. We analyze comparative statics and find that certain intuitive results do not necessarily hold without restrictions on the stochastic structure.     

The general equilibrium effects of the industrial property tax: Incidence and excess burden

A model of a small, open central business district (CBD) is used to derive the conditions that define the market-equilibrium and rent-maximizing CBD. It is shown that, in general, the market equilibrium CBD radius differs from the rent-maximizing CBD radius. Land-use zoning will, under certain conditions, increase the aggregate net return on CBD land.     

The turnpike of dynamic general equilibrium paths and its insensitivity to initial conditions

Asymptotic turnpike theorems in the case where the future is discounted are traditionally derived under the assumptions that a utility function is twice differentiable and that is Hessian is negative definite. Replacing these assumptions by a weaker one. I give a proof of the theorem simpler than existing ones.     

Migration and the wage and unemployment gaps between urban and non-urban sectors: A dynamic general equilibrium reinterpretation of the Harris–Todaro equilibrium

This paper offers a dynamic general equilibrium reinterpretation of the static partial migration equilibrium by Harris and Todaro [Harris, J., Todaro, M., 1970. Migration, unemployment and development; a two-sector analysis. American Economic Review 60, 126–142], under (i) flexible urban and rural wages and (ii) free mobility of workers and free entry of firms. The proposed model accounts for the set of stylized facts in developing countries: rural to urban migration and higher urban wages and unemployment.The model allows us to view the wage gap as a compensating differential for the negative amenities associated with job destruction and subsequent costly search on the consumption side, which can also be seen as a match-specific premium based on a sectoral productivity differential on the production side. Our model predicts the comovements among urban and non-urban wages and migration flows to the urban sector, an empirical regularity observed over the urbanization process of developing economies. Finally, we also conduct a welfare analysis.     

The timing of residential land development: A general equilibrium approach

A formal model of the development process is constructed in order to arrive at a better understanding of the land development process, the change in land prices over time, and the effects of public policy on these variables. The relationship between the rate of interest and the rate of price appreciation on land is shown to depend upon development costs, agricultural opportunity costs, market structure, and the level of Ricardian rents on land. The effects of a land tax and a capital gains tax on the rate of development are also analyzed.     

Numerical solution of dynamic equilibrium models under Poisson uncertainty

We propose a simple and powerful numerical algorithm to compute the transition process in continuous-time dynamic equilibrium models with rare events. In this paper we transform the dynamic system of stochastic differential equations into a system of functional differential equations of the retarded type. We apply the Waveform Relaxation algorithm, i.e., we provide a guess of the policy function and solve the resulting system of (deterministic) ordinary differential equations by standard techniques. For parametric restrictions, analytical solutions to the stochastic growth model and a novel solution to Lucas' endogenous growth model under Poisson uncertainty are used to compute the exact numerical error. We show how (potential) catastrophic events such as rare natural disasters substantially affect the economic decisions of households.     

The impact of nuclear power discontinuation in Sweden: A general equilibrium analysis

This study reports on methodology and results of a study of the economic consequences of a discontinuation of the Swedish nuclear program. The analysis is carried out by means of a computable general equilibrium model and is focused on the impact on real income as well as on the sectoral allocation of production and employment. The main result is that provided factor markets function smoothly enough to ensure full employment of the economy's resources, a proposed nuclear discontinuation strategy does not significantly affect the investigated macroeconomic indicators.     

The effects of barriers to entry on monopolistic intermediary online services: The case of a digital library

Online intermediaries (OIs) are becoming increasingly important market institutions. They have low marginal costs and display the indirect network effect, which suggests that the benefit of an intermediary to sellers (buyers) increases with the number of buyers (sellers) connected to that intermediary. OIs may be further characterized by the levels of barriers to entry they face and the direct network effect, i.e., the benefit to a seller decreases with the number of sellers connected to the intermediary. This paper models a digital library where creators sell their works to information users. It is found that a monopolistic digital library with the above characteristics over-serves its creators, which leads them to over-invest in creation, and over-supply information products to consumers. Furthermore, the over-investment is more severe when the barriers to entry in the digital library sector are lower. A counter-intuitive policy implication is that removing barriers to entry in monopolistic markets with the above characteristics does not improve, but rather worsens, social welfare.     

Quasivariational inequalities for dynamic competitive economic equilibrium problems in discrete time

Decisions in Economics and Finance - Equilibrium is a central concept in numerous disciplines including economics, management science, operations research, and engineering. We are concerned with an...     

Econometric analysis of linearized singular dynamic stochastic general equilibrium models

In this paper I propose an alternative to calibration of linearized singular dynamic stochastic general equilibrium models. Given an a-theoretical econometric model as a representative of the data generating process, I will construct an information measure which compares the conditional distribution of the econometric model variables with the corresponding singular conditional distribution of the theoretical model variables. The singularity problem will be solved by using convolutions of both distributions with a non-singular distribution. This information measure will then be maximized to the deep parameters of the theoretical model, which links these parameters to the parameters of the econometric model and provides an alternative to calibration. This approach will be illustrated by an application to a linearized version of the stochastic growth model of King, Plosser and Rebelo.     

Indirect inference and calibration of dynamic stochastic general equilibrium models

We advocate in this paper the use of a sequential partial indirect inference (SPII) approach, in order to account for calibration practice where dynamic stochastic general equilibrium models (DGSE) are studied only through their ability to reproduce some well-chosen moments. We stress that, despite a lack of statistical formalization, the controversial calibration methodology addresses a genuine issue on the consequences of misspecification in highly nonlinear and dynamic structural macro-models. We argue that a well-driven SPII strategy might be seen as a rigorous calibrationnist approach, that captures both the advantages of this approach (accounting for structural “a-statistical” ideas) and of the inferential approach (precise appraisal of loss functions and conditions of validity). This methodology should be useful for the empirical assessment of structural models such as those stemming from the real business cycle theory or the asset pricing literature.     

The revelation of information in strategic market games: A critique of rational expectations equilibrium

We criticize the R.E.E. approach to asymmetric information general equilibrium because it does not explain how information gets ‘into’ the prices. This leads to well-known paradoxes. We suggest a multiperiod game instead, where the flow of information into and out of prices is explicitly modeled. In our game Nash equilibria (N.E.) (1) generalize Walrasian equilibria to asymmetric information, (2) exist generically, (3) eliminate pure speculation, (4) allow prices to reveal information and markets to become more efficient over time, (5) are consistent with the weak efficient markets hypothesis that tracking past prices is not profitable, (6) yet always lead to higher utility for better informed agents (such as experts). Throughout the paper we use one concrete game. In the last section we prove that there is a broad range of games that would have the same properties.     

The dynamic effects of infectious disease outbreaks: The case of pandemic influenza and human coronavirus

Pandemic influenza is a regularly recurring form of infectious disease; this work analyses its economic effects. Like many other infectious diseases influenza pandemics are usually of short, sharp duration. Human coronavirus is a less regularly recurring infectious disease. The human coronavirus pandemic of 2019 (COVID-19) has presented with seemingly high transmissibility and led to extraordinary socioeconomic disruption due to severe preventative measures by governments. To understand and compare these events, epidemiological and economic models are linked to capture the transmission of a pandemic from regional populations to regional economies and then across regional economies. In contrast to past pandemics, COVID-19 is likely to be of longer duration and more severe in its economic effects given the greater uncertainty surrounding its nature. The analysis indicates how economies are likely to be affected due to the risk-modifying behaviour in the form of preventative measures taken in response to the latest novel pandemic virus.