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Simulation Models: Issues,
Design, and Implementation

          Sherman Robinson
  Institute of Development Studies
         University of Sussex
            November 2009
Simulation Models
• Long history in economics
  – Models used in “simulation mode”
  – Models designed for simulation
• Level of aggregation
  – World models
  – Country models
  – Regional/sub-regional models
  – Enterprise/farm models

                                       2
Commodity Market Models

• Single commodity or multimarket
  – Partial equilibrium models
• Supply and demand curves
  – Linear or nonlinear
  – Expenditure functions may or may not be based
    on demand theory



                                               3
Economywide Models
• “Economy” may vary in size and domain
  – Macro models: macro aggregates
  – General equilibrium market models
    • Fixed prices: multiplier models
    • Flexible prices: market interactions
    • CGE models: agents interacting across markets
  – Microsimulation household models
    • Agents and “markets” within a household
• Agents and interactions in model economy
                                                      4
Model Design: Simplicity
• Stylized
  – “putting numbers to theory”
  – Focus on particular issue
• Applied
  – Larger, more detail (including institutions)
  – Cover many issues
• Principle of Occam’s Razor
  – Simplest model adequate to the task
                                                   5
Model Design: Theory

• Walras, neoclassical, structuralist,
  Keynes.
  – Role of product and factor markets.
  – Role of assets and financial markets.
• Dynamic versus static.
  – Time horizon: short, medium, long.



                                            6
Model Design:
         Notions of Equilibrium
• Flow equilibria
  – Many product and factor markets
  – Macro flows: G-T, S-I, M-E
  – Loanable funds market
• Asset markets: equilibrium stock holding
• Intertemporal equilibrium: expectations
  – Forward-looking agents
  – Rational expectations
                                             7
Model Design: Structure

• “Deep” structural models.
  – Specify agents, markets, institutions, signals,
    motivation, and behavior.
• “Shallow” or “reduced form” models.
  – Vague theoretical specification of relationships
    among variables.
  – Unidentified/unidentifiable underlying structural
    model.
                                                      8
CGE Models

• “Economywide” model with many markets:
  factors and commodities
  – Simultaneous equilibrium across inter-dependent
    markets
• “Behavior” from general equilibrium theory
  – Maximizing agents in competitive markets
     • Constrained by technology and income
  – Agents react to price signals
                                                9
Stylized CGE Model Structure
              Factor                            Domestic Private Savings
   Factor     Markets        Wages
   Costs                     & Rents                      Gov. Savings
                                             Taxes
              Intermediate
              Input Cost     Households        Government        Sav./Inv.
Activities
                                           Transfers

                                       Private         Government      Investment
                                       Consumption     Consumption     Demand
              Commodity
   Sales       Markets

            Exports     Imports              Foreign Transfers

               Rest of the                                       Foreign Savings
                 World
                                                                           10
SAM Structure
               Expenditures
Receipts                                               Domestic       Rest of
                Activities    Commodities   Factors                                Totals
                                                      Institutions    World
                                Market                Home con-                   Activity
Activities
                                sales                  sumption                   income
                                Trans-                  Final
            Intermediate                                                         Commodity
Commodities                     actions                market        Exports
                inputs                                                            demand
                                 costs                demands
                 Value                                                             Factor
Factors                                                              Transfers
                 added                                                            income
                                                     Transfers,
Domestic                        Tariffs,    Income,              Transfers, Institution
                 Taxes                                 Taxes,
Institutions                    Taxes        Taxes                Savings    income
                                                      Savings
                                                                             Foreign
Rest of
                                Imports                                     exchange
World
                                                                              outflow
                                                                  Foreign
                 Activity     Commodity      Factor  Institution
Totals                                                           exchange
                spending        supply      spending spending
                                                                   inflow
                                                                                             11
Implementation: Estimation
• Role of statistics/econometrics.
  – Nature of prior information.
• Shallow reduced form models.
  – Very little prior information about parameters. Not
    enough theory.
  – Need lots of data.
  – Appropriate use of standard econometric methods
    for parameter estimation.

                                                  12
Implementation: Estimation

• Deep structural model.
  – Much more prior information about parameter
    values, based on theory and knowledge of model
    structure.
  – Usually more parameters to estimate, and data
    are scarce.
  – Appropriate setting for Bayesian and maximum
    entropy econometric methods.

                                              13

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Simulation Models: Issues, Design, and Implementation

  • 1. Simulation Models: Issues, Design, and Implementation Sherman Robinson Institute of Development Studies University of Sussex November 2009
  • 2. Simulation Models • Long history in economics – Models used in “simulation mode” – Models designed for simulation • Level of aggregation – World models – Country models – Regional/sub-regional models – Enterprise/farm models 2
  • 3. Commodity Market Models • Single commodity or multimarket – Partial equilibrium models • Supply and demand curves – Linear or nonlinear – Expenditure functions may or may not be based on demand theory 3
  • 4. Economywide Models • “Economy” may vary in size and domain – Macro models: macro aggregates – General equilibrium market models • Fixed prices: multiplier models • Flexible prices: market interactions • CGE models: agents interacting across markets – Microsimulation household models • Agents and “markets” within a household • Agents and interactions in model economy 4
  • 5. Model Design: Simplicity • Stylized – “putting numbers to theory” – Focus on particular issue • Applied – Larger, more detail (including institutions) – Cover many issues • Principle of Occam’s Razor – Simplest model adequate to the task 5
  • 6. Model Design: Theory • Walras, neoclassical, structuralist, Keynes. – Role of product and factor markets. – Role of assets and financial markets. • Dynamic versus static. – Time horizon: short, medium, long. 6
  • 7. Model Design: Notions of Equilibrium • Flow equilibria – Many product and factor markets – Macro flows: G-T, S-I, M-E – Loanable funds market • Asset markets: equilibrium stock holding • Intertemporal equilibrium: expectations – Forward-looking agents – Rational expectations 7
  • 8. Model Design: Structure • “Deep” structural models. – Specify agents, markets, institutions, signals, motivation, and behavior. • “Shallow” or “reduced form” models. – Vague theoretical specification of relationships among variables. – Unidentified/unidentifiable underlying structural model. 8
  • 9. CGE Models • “Economywide” model with many markets: factors and commodities – Simultaneous equilibrium across inter-dependent markets • “Behavior” from general equilibrium theory – Maximizing agents in competitive markets • Constrained by technology and income – Agents react to price signals 9
  • 10. Stylized CGE Model Structure Factor Domestic Private Savings Factor Markets Wages Costs & Rents Gov. Savings Taxes Intermediate Input Cost Households Government Sav./Inv. Activities Transfers Private Government Investment Consumption Consumption Demand Commodity Sales Markets Exports Imports Foreign Transfers Rest of the Foreign Savings World 10
  • 11. SAM Structure Expenditures Receipts Domestic Rest of Activities Commodities Factors Totals Institutions World Market Home con- Activity Activities sales sumption income Trans- Final Intermediate Commodity Commodities actions market Exports inputs demand costs demands Value Factor Factors Transfers added income Transfers, Domestic Tariffs, Income, Transfers, Institution Taxes Taxes, Institutions Taxes Taxes Savings income Savings Foreign Rest of Imports exchange World outflow Foreign Activity Commodity Factor Institution Totals exchange spending supply spending spending inflow 11
  • 12. Implementation: Estimation • Role of statistics/econometrics. – Nature of prior information. • Shallow reduced form models. – Very little prior information about parameters. Not enough theory. – Need lots of data. – Appropriate use of standard econometric methods for parameter estimation. 12
  • 13. Implementation: Estimation • Deep structural model. – Much more prior information about parameter values, based on theory and knowledge of model structure. – Usually more parameters to estimate, and data are scarce. – Appropriate setting for Bayesian and maximum entropy econometric methods. 13