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Dynamic stochastic general equilibrium



 
 
Dynamic stochastic general equilibrium modeling (abbreviated DSGE or sometimes SDGE or DGE) is a branch of applied general equilibrium
General equilibrium

General equilibrium theory is a branch of theoretical economics. It seeks to explain the behavior of supply, demand and prices in a whole economy with several or many markets....
 theory that is increasingly influential in contemporary macroeconomics
Macroeconomics

Macroeconomics is a branch of economics that deals with the performance, structure, and behavior of a national or regional economy as a whole....
. The DSGE methodology attempts to explain aggregate economic phenomena, such as economic growth
Economic growth

Economic growth is the increase in the amount of the goods and services produced by an economics over time. It is conventionally measured as the percent rate of increase in real gross domestic product, or real GDP....
, business cycles, and the effects of monetary
Monetary policy

Monetary policy is the process by which the government, central bank, or monetary authority of a country controls the supply of money, availability of money, and cost of money or rate of interest, in order to attain a set of objectives oriented towards the growth and stability of the economy....
 and fiscal policy
Fiscal policy

In economics, fiscal policy is the use of government spending and revenue collection to influence the economy.Fiscal policy can be contrasted with the other main type of economic policy, monetary policy, which attempts to stabilize the economy by controlling interest rates and the supply of money....
, on the basis of macroeconomic models derived from microeconomic principles
Microfoundations

In economics, the term microfoundations refers to the microeconomics analysis of the behavior of individual Agent such as households or firms that underpins a macroeconomics theory...
. One of the main reasons macroeconomists have begun to build DSGE models is that unlike more traditional macroeconometric forecasting models
Model (macroeconomics)

A model in macroeconomics is a logical, mathematical, and/or computational framework designed to describe the operation of a national or regional economy, and especially the dynamics of aggregate quantities such as the total amount of goods and services produced, total income earned, the level of employment of productive resources, and the le...
, DSGE macroeconomic models should not, in principle, be vulnerable to the Lucas critique
Lucas critique

The Lucas Critique, named for Robert Lucas Jr's work on macroeconomic policymaking, says that it is naive to try to predict the effects of a change in economic policy entirely on the basis of relationships observed in historical data, especially highly Aggregate data historical data....
 (Woodford, 2003, p.






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Dynamic stochastic general equilibrium modeling (abbreviated DSGE or sometimes SDGE or DGE) is a branch of applied general equilibrium
General equilibrium

General equilibrium theory is a branch of theoretical economics. It seeks to explain the behavior of supply, demand and prices in a whole economy with several or many markets....
 theory that is increasingly influential in contemporary macroeconomics
Macroeconomics

Macroeconomics is a branch of economics that deals with the performance, structure, and behavior of a national or regional economy as a whole....
. The DSGE methodology attempts to explain aggregate economic phenomena, such as economic growth
Economic growth

Economic growth is the increase in the amount of the goods and services produced by an economics over time. It is conventionally measured as the percent rate of increase in real gross domestic product, or real GDP....
, business cycles, and the effects of monetary
Monetary policy

Monetary policy is the process by which the government, central bank, or monetary authority of a country controls the supply of money, availability of money, and cost of money or rate of interest, in order to attain a set of objectives oriented towards the growth and stability of the economy....
 and fiscal policy
Fiscal policy

In economics, fiscal policy is the use of government spending and revenue collection to influence the economy.Fiscal policy can be contrasted with the other main type of economic policy, monetary policy, which attempts to stabilize the economy by controlling interest rates and the supply of money....
, on the basis of macroeconomic models derived from microeconomic principles
Microfoundations

In economics, the term microfoundations refers to the microeconomics analysis of the behavior of individual Agent such as households or firms that underpins a macroeconomics theory...
. One of the main reasons macroeconomists have begun to build DSGE models is that unlike more traditional macroeconometric forecasting models
Model (macroeconomics)

A model in macroeconomics is a logical, mathematical, and/or computational framework designed to describe the operation of a national or regional economy, and especially the dynamics of aggregate quantities such as the total amount of goods and services produced, total income earned, the level of employment of productive resources, and the le...
, DSGE macroeconomic models should not, in principle, be vulnerable to the Lucas critique
Lucas critique

The Lucas Critique, named for Robert Lucas Jr's work on macroeconomic policymaking, says that it is naive to try to predict the effects of a change in economic policy entirely on the basis of relationships observed in historical data, especially highly Aggregate data historical data....
 (Woodford, 2003, p. 11; Tovar, 2008, p. 15).

Structure of DSGE models


As their name indicates, DSGE models are dynamic, studying how the economy evolves over time. They are also stochastic
Stochastic process

A stochastic process, or sometimes random process, is the counterpart to a deterministic process in probability theory. Instead of dealing with only one possible 'reality' of how the process might evolve under time , in a stochastic or random process there is some indeterminacy in its future evolution described by probability distribu...
, taking into account the fact that the economy is affected by random shocks such as technological change, fluctuations in the price of oil, or errors in macroeconomic policy-making. This contrasts with the static models studied in Walrasian
Léon Walras

Marie-Esprit-L?on Walras was a French economics, considered by Joseph Schumpeter as "the greatest of all economists". He was a mathematical economics associated with the creation of the general equilibrium theory....
 general equilibrium
General equilibrium

General equilibrium theory is a branch of theoretical economics. It seeks to explain the behavior of supply, demand and prices in a whole economy with several or many markets....
 theory, applied general equilibrium
Applied general equilibrium

Applied General Equilibrium models were pioneered by Herbert Scarf at Yale University in 1967, in two papers, and a follow up book with Terje Hansen in 1973, with the aim of empirically estimating the Arrow-Debreu General equilibrium model with empirical data, to provide "?a general method for the explicit numerical solution of t...
models and computable general equilibrium
Computable general equilibrium

Computable general equilibrium models are a class of economic model that use actual economic data to estimate how an economy might react to changes in policy, technology or other external factors....
models.

Traditional macroeconometric forecasting models
Model (macroeconomics)

A model in macroeconomics is a logical, mathematical, and/or computational framework designed to describe the operation of a national or regional economy, and especially the dynamics of aggregate quantities such as the total amount of goods and services produced, total income earned, the level of employment of productive resources, and the le...
 used by central banks in the 1970s, and even today, estimated the dynamic correlations between prices and quantities in different sectors of the economy, and often included thousands of variables. Since DSGE models are technically more difficult to solve and analyze, they tend to abstract from so many sectoral details, and include far fewer variables: just a few variables in theoretical DSGE papers, or on the order of a hundred variables in the experimental DSGE forecasting models now being constructed by central banks.

What DSGE models give up in sectoral detail, they attempt to make up in logical consistency, because they are founded on microeconomic principles
Microfoundations

In economics, the term microfoundations refers to the microeconomics analysis of the behavior of individual Agent such as households or firms that underpins a macroeconomics theory...
 of constrained
Constraint (mathematics)

In mathematics, a constraint is a condition that a solution to an optimization problem must satisfy. There are two types of constraints: equality constraints and inequality constraints....
 decision-making. Therefore, DSGE models must spell out the following aspects of the economy.

  • Preferences: the objectives of the agents
    Agent (economics)

    In economics, an agent is an actor or decision maker in a Mathematical model. Typically, the actor makes decisions by solving an Optimization problem....
     in the economy must be specified. For example, households might be assumed to maximize a utility
    Utility

    In economics, utility is a measure of the relative satisfaction from, or desirability of, consumption of various goods and services. Given this measure, one may speak meaningfully of increasing or decreasing utility, and thereby explain economic behavior in terms of attempts to increase one's utility....
     function over consumption and labor effort. Firms might be assumed to maximize profits.


  • Technology: the productive capacity of the agents in the economy must be specified. For example, firms might be assumed to have a production function
    Production function

    In economics, a production function is a Function that specifies the output of a firm, an industry, or an entire economy for all combinations of inputs....
    , specifying the amount of goods produced, depending on the amount of labor and capital they employ. Technological constraints on agents' decisions might also include costs of adjusting the capital stock, the level of employment, or the price level.


  • Institutional framework: the institutional constraints under which economic agents interact must be specified. In many DSGE models, this might simply mean that agents make their choices within some exogenously imposed budget constraint
    Budget constraint

    A Budget constraint represents the combinations of goods and services that a consumer can purchase given current prices and his income. Consumer theory uses the concepts of a budget constraint and a preference map to analyze consumer choices....
    s, and that prices are assumed to adjust until markets clear. It might also mean specifying the rules of monetary and fiscal policy, or even how policy rules and budget constraints change depending on a political process.


Advantages and disadvantages of DSGE modeling


By specifying preferences (what the agents want), technology (what the agents can produce), and institutions (the way they interact), it is possible (in principle, though challenging in practice) to solve the DSGE model to predict what is actually produced, traded, and consumed. In principle, it is also possible to make valid predictions about the effects of changing the institutional framework.

In contrast, as Robert Lucas
Lucas critique

The Lucas Critique, named for Robert Lucas Jr's work on macroeconomic policymaking, says that it is naive to try to predict the effects of a change in economic policy entirely on the basis of relationships observed in historical data, especially highly Aggregate data historical data....
 pointed out, such a prediction is unlikely to be valid in traditional macroeconometric forecasting models, since those models are based on observed past correlations between macroeconomic variables. These correlations can be expected to change when new policies are introduced, invalidating predictions based on past observations.

Given the difficulty of constructing accurate DSGE models, most central banks still rely on traditional macroeconometric models for short-term forecasting. However, the effects of alternative policies are increasingly studied using DSGE methods. Since DSGE models are constructed on the basis of assumptions about agents' preferences, it is possible to ask whether the policies considered are Pareto optimal, or how well they satisfy some other social welfare
Social welfare function

In economics a social welfare function can be defined as a Function of a real variable that ranks conceivable social states from lowest on up as to welfare of the society....
 criterion derived from preferences (Woodford, 2003, p. 12).

Schools of DSGE modeling


At present two competing schools of thought form the bulk of DSGE modeling.

  • Real business cycle
    Real Business Cycle Theory

    Real Business Cycle Theory is a class of macroeconomic models in which business cycle fluctuations to a large extent can be accounted for by real shocks....
     (RBC) theory builds on the neoclassical growth model
    Exogenous growth model

    The Exogenous growth model, also known as the Neo-classical growth model or Solow-Swan growth model is a term used to sum up the contributions of various authors to a economic model of long-run economic growth within the framework of neoclassical economics....
    , under the assumption of flexible prices, to study how real shocks to the economy might cause business cycle fluctuations. The paper of Kydland and Prescott
    Edward C. Prescott

    Edward Christian Prescott is an American economist. He received the Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel in 2004, sharing the award with Finn E....
     (1982) is often considered the starting point of RBC theory and of DSGE modeling in general. The RBC point of view is surveyed in Cooley (1995).


  • New-Keynesian DSGE models
    New Keynesian economics

    New Keynesian economics is a school of contemporary macroeconomics that strives to provide microfoundations for Keynesian economics. It developed partly as a response to criticisms of Keynesian macroeconomics by adherents of New classical macroeconomics....
     build on a structure similar to RBC models, but instead assume that prices are set by monopolistically competitive firms, and cannot be instantaneously and costlessly adjusted. The paper that first introduced this framework was Rotemberg and Woodford (1997). Introductory and advanced textbook presentations are given by Galí
    Jordi Galí

    Jordi Gal? is a Spain macroeconomics who is regarded as one of the main figures in New Keynesian economics today. He is currently the director of the Centre de Recerca en Econom?a Internacional at Universitat Pompeu Fabra in Barcelona....
     (2008) and Woodford
    Michael Woodford (economist)

    Michael Dean Woodford is an American macroeconomics who currently teaches at Columbia University. His early research topics included sunspot equilibrium and imperfect competition....
     (2003). Monetary policy implications are surveyed by Clarida et al. (1999).


Example

The European Central Bank
European Central Bank

The European Central Bank is one of the world's most important central banks, responsible for monetary policy covering the 16 member States of the Eurozone....
 (ECB) has developed a DSGE model, often called the , which it uses to analyze the economy of the Eurozone
Eurozone

The Eurozone is a currency union of 16 Member State of the European Union which have adopted the euro as their sole legal tender. It currently consists of Austria, Belgium, Cyprus, Finland, France, Germany, Greece, Republic of Ireland, Italy, Luxembourg, Malta, the Netherlands, Portugal, Slovakia, Slovenia and Spain....
 as a whole (in other words, the model does not analyze individual European countries separately). The model is intended as an alternative to the Area-Wide Model (AWM), a more traditional empirical forecasting model
Model (macroeconomics)

A model in macroeconomics is a logical, mathematical, and/or computational framework designed to describe the operation of a national or regional economy, and especially the dynamics of aggregate quantities such as the total amount of goods and services produced, total income earned, the level of employment of productive resources, and the le...
 which the ECB has been using for several years. The that describes the Smets-Wouters model also discusses the advantages of building a DSGE model instead of relying on more traditional methods.

The equations in the Smets-Wouters model describe the choices of three types of decision makers
Agent (economics)

In economics, an agent is an actor or decision maker in a Mathematical model. Typically, the actor makes decisions by solving an Optimization problem....
: households, who choose how much to work, to consume, and to invest; firms, which choose how much labor and capital to employ; and the central bank, which controls monetary policy. The parameter
Parameter

In mathematics, statistics, and the mathematical sciences, a parameter is a quantity that defines certain characteristics of systems or function s....
s in the equations were estimated using Bayesian statistical techniques so that the model approximately describes the dynamics of GDP, consumption, investment, prices, wages, employment, and interest rates in the Eurozone economy. In order to accurately reproduce the sluggish behavior of some of these variables, the model incorporates several types of frictions that slow down adjustment to shocks, including sticky prices and wages
Sticky (economics)

Sticky is a term used in the social sciences and particularly economics to describe a situation in which a variable is resistant to change. For example, nominal wages are often said to be sticky....
, and adjustment costs in investment.

See also


  • Lucas critique
    Lucas critique

    The Lucas Critique, named for Robert Lucas Jr's work on macroeconomic policymaking, says that it is naive to try to predict the effects of a change in economic policy entirely on the basis of relationships observed in historical data, especially highly Aggregate data historical data....
  • Real business cycles
  • New Keynesian economics
    New Keynesian economics

    New Keynesian economics is a school of contemporary macroeconomics that strives to provide microfoundations for Keynesian economics. It developed partly as a response to criticisms of Keynesian macroeconomics by adherents of New classical macroeconomics....
  • General equilibrium
    General equilibrium

    General equilibrium theory is a branch of theoretical economics. It seeks to explain the behavior of supply, demand and prices in a whole economy with several or many markets....
  • Applied general equilibrium
    Applied general equilibrium

    Applied General Equilibrium models were pioneered by Herbert Scarf at Yale University in 1967, in two papers, and a follow up book with Terje Hansen in 1973, with the aim of empirically estimating the Arrow-Debreu General equilibrium model with empirical data, to provide "?a general method for the explicit numerical solution of t...
     (AGE) models
  • Computable general equilibrium
    Computable general equilibrium

    Computable general equilibrium models are a class of economic model that use actual economic data to estimate how an economy might react to changes in policy, technology or other external factors....
     (CGE) models
  • Model (macroeconomics)
    Model (macroeconomics)

    A model in macroeconomics is a logical, mathematical, and/or computational framework designed to describe the operation of a national or regional economy, and especially the dynamics of aggregate quantities such as the total amount of goods and services produced, total income earned, the level of employment of productive resources, and the le...


External links


  • - Website of the Society for Economic Dynamics, dedicated to advances in DSGE modeling
  • - International Network for DSGE modeling, monetary and fiscal policy