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GE (version 0.5.0)

General Equilibrium Modeling

Description

Some tools for developing general equilibrium models and some general equilibrium models. These models can be used for teaching economic theory and are built by the methods of new structural economics (see LI Wu, 2019, ISBN: 9787521804225, General Equilibrium and Structural Dynamics: Perspectives of New Structural Economics. Beijing: Economic Science Press). The model form and mathematical methods can be traced back to J. von Neumann (1945, A Model of General Economic Equilibrium. The Review of Economic Studies, 13. pp. 1-9), J. G. Kemeny, O. Morgenstern and G. L. Thompson (1956, A Generalization of the von Neumann Model of an Expanding Economy, Econometrica, 24, pp. 115-135) et al. By the way, J. G. Kemeny is a co-inventor of the computer language BASIC.

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Install

install.packages('GE')

Monthly Downloads

357

Version

0.5.0

License

GPL-2 | GPL-3

Maintainer

LI Wu

Last Published

June 20th, 2025

Functions in GE (0.5.0)

Demand coefficients of the CESAK Production Function

Quasilinear Demand Functions

Constant Relative Risk Aversion (CRRA) Utility Function

Additive-Mean-Variance Utility Function and Additive-Mean-Standard-Deviation Utility Function

Constant Absolute Risk Aversion (CARA) Utility Function

Standard CES Function

Modified Displaced CES Demand Function

Additive-Mean-Standard-Deviation Portfolio Utility Function

Displaced CES Utility Function and Displaced CES Demand Function

gemAssetPricingExample

Some Examples of Asset Pricing

apply_expand.grid

Applying a Function to All Combinations of the Supplied Vectors

Convert between (Primitive) Period Interest Rates and (Primitive) Intraperiod Interest Rates

gemAssetExchange_MatthewEffect_2_2

An Example Illustrating the Matthew Effect of Asset Exchange

demInsufficientDemand_3_3

A Disequilibrium Model Illustrating Insufficient Demand (Supply-demand Structural Mismatch)

Tidy a General Equilibrium

demCreditPolicy

A Disequilibrium Model with Credit

Standard CES Demand Coefficient Matrix

gemAssetPricing_CUF

Compute Asset Market Equilibria with Commodity Utility Functions for Some Simple Cases

demand_coefficient

Compute Demand Coefficients of an Agent with a Demand Structural Tree

gemCanonicalDynamicMacroeconomic_Sequential_WagePostpayment_4_3

A Canonical Dynamic Macroeconomic General Equilibrium Model in Sequential Form under the Wage Postpayment Assumption (see Torres, 2016)

gemCESAK_Timeline_2_2

Some Timeline Equilibrium Models with CESAK Production Function

gemCanonicalDynamicMacroeconomic_TimeCircle_2_2

A Canonical Dynamic Macroeconomic General Equilibrium Model in Time-circle Form (see Torres, 2016)

gemCanonicalDynamicMacroeconomic_4_3

A Canonical Dynamic Macroeconomic General Equilibrium Model (see Torres, 2016)

gemAssetPricing_PUF

Compute Asset Market Equilibria with Portfolio Utility Functions for Some Simple Cases

gemCoffeeProblem_3_3

Coffee Problem: Some Examples of Equilibrium and Disequilibrium Pure Exchange Economies

gemCapitalAccumulation

Some Examples of Spot Equilibrium Paths with Capital Accumulation

gemCanonicalDynamicMacroeconomic_3_2

A Canonical Dynamic Macroeconomic General Equilibrium Model (see Torres, 2016)

gemCanonicalDynamicMacroeconomic_Timeline_2_2

A Canonical Dynamic Macroeconomic General Equilibrium Model in Timeline Form (see Torres, 2016)

gemBalancedGrowthPath

Some Examples of Balanced Growth Paths

gemEquityShare_3_3

A General Equilibrium Model with Equity Shares

gemExternality_Negative

Some Examples Illustrating Negative Externality

A Model with a Displaced CES Utility Function

gemExogenousUtilityLevel_EndogenousLaborSupply_3_3

Some Examples with Exogenous Utility Level and Endogenous Labor Supply

gemExogenousPrice

Some Examples with Exogenous Price (Price Control)

gemConstantGrowthPath_TechnologyProgress_3_3

Constant Growth Paths with Technology Progress

gemDualLinearProgramming

General Equilibrium Models and Linear Programming Problems (see Winston, 2003)

gemExogenousPrice_EndogenousLaborSupply_3_3

An Example of Price Regulation and Endogenous Labor Supply (Example 9.5 of Li, 2019)

gemEquityShare_Bond_4_4

A General Equilibrium Model with Equity Shares and Bond

gemDynamicMacroeconomic_SpotTrading_3_2

A Dynamic Macroeconomic General Equilibrium Model with Spot Trading

gemInputOutputTable_2_7_4

A Two-Country General Equilibrium Model

gemHeterogeneousFirms_2_3

Spot equilibrium paths with Heterogeneous Firms

gemInputOutputTable_2_2

A General Equilibrium Model based on a 2×2 (Unbalanced) Input-Output Table

gemInputOutputTable_2_8_4

A Two-Country General Equilibrium Model with Money

gemExternality_Positive

Some Examples Illustrating Positive Externality

gemInputOutputTable_5_4

A General Equilibrium Model based on a 5×4 Input-Output Table (see Zhang Xin, 2017, Table 8.6.1)

gemInputOutputTable_5_5

General Equilibrium Models based on a 5×5 Input-Output Table (see Zhang Xin, 2017, Table 3.2.1)

gemInformation_ProductQuality

An Example Illustrating Product Quality Information

gemInputOutputTable_2_7_2

A Two-Country General Equilibrium Model

gemFirmAsConsumer

Some Examples of Treating Firms as Consumer-Type Agents

gemIntertemporalStochastic_ThreePeriods_2_2

A Three-Period Intertemporal Stochastic Equilibrium Model with a Consumer and a Type of Firm

gemInputOutputTable_easy_5_4

An Easy General Equilibrium Model based on a 5×4 Input-Output Table (see Zhang Xin, 2017, Table 8.6.1)

gemIntertemporalStochastic_Bank_ThreePeriods

An Intertemporal Stochastic Model with a Consumer and Some Banks

gemIntertemporalStochastic_TwoPeriods

Some Examples of a Two-Period Intertemporal Stochastic Equilibrium Model

gemInputOutputTable_Leontief_3_3

A Leontief-type General Equilibrium Model based on a 3×3 Input-Output Table

gemIntertemporalStochastic_Bank_TwoPeriods

An Intertemporal Stochastic Model with a Consumer and a Bank

gemInputOutputTable_7_4

A General Equilibrium Model based on a 7×4 (Standard) Input-Output Table

gemInputOutputTable_8_8

A General Equilibrium Model based on an 8×8 Input-Output Table

gemIntertemporal_1_2

An Example of a 1-by-2 Intertemporal Equilibrium Model

gemInputOutputTable_SCES_3_3

A SCES-type General Equilibrium Model based on an Input-Output Table.

gemIntertemporal_Bank_1_3

Some Examples of an Intertemporal Model with Two Consumers and a Type of Bank

gemIntertemporal_2_2

Some Examples of a 2-by-2 Intertemporal Equilibrium Model

gemIntertemporal_5_5

Some Intertemporal (Timeline and Time-circle) Models with Land, Two Consumers, and Three Types of Firms

gemIntertemporal_4_4

An Intertemporal Model with Land, Two Consumers and Two Types of Firms

gemIntertemporal_AdValoremClaim

Some Intertemporal Models with Ad Valorem Claim

gemIntertemporal_3_3

Some Examples of Intertemporal Models with One Consumer and Two Types of Firms

gemIntertemporal_Bank_1_2

Some Examples of an Intertemporal Model with a Consumer and a Type of Bank

gemIntertemporal_3_4

An Intertemporal Model with Two Consumers and Two Types of Firms

gemIntertemporal_Dividend

The Identical Steady-state Equilibrium: Four Models Illustrating Dividend

gemIntertemporal_Dividend_TechnologicalProgress

The Identical Steady-state Equilibrium: Four Models Illustrating Dividend and Technological Progress

gemIntertemporal_TimeCircle_Bank_1_2

Some Examples of a Time Circle Model with a Consumer and a Type of Bank

gemIntertemporal_TimeCircle_3_4

A Time Circle Model with Two Consumers and Two Types of Firms

gemIntertemporal_EndogenousEquilibriumInterestRate

An Example Illustrating Endogenous Equilibrium Interest Rates in a (Timeline) Transitional Equilibrium Path

gemIntertemporal_TimeCircle_3_3

A Time Circle Model with One Consumer and Two Types of Firms

gemIntertemporal_PublicFirm

Some Examples of Intertemporal (Timeline) Models with Production and Public Firms

gemIntertemporal_TimeCircle_2_2

Some Examples of a 2-by-2 Time Circle Equilibrium Model

gemIntertemporal_Money_Dividend_Example7.5.1

The Identical Steady-state Equilibrium: Three Models with Money and Dividend

gemIntertemporal_TimeCircle_Stochastic_2_2

Some 2-by-2 Time Circle Models with Uncertainty

gemIntertemporal_EndogenousEquilibriumInterestRate_MoneyVelocity

An Example Illustrating Endogenous Equilibrium Interest Rates and the Velocity of Money in a (Timeline) Transitional Equilibrium Path

gemIntertemporal_EndogenousEquilibriumInterestRate_ForeignExchangeRate

An Example Illustrating Endogenous Equilibrium Interest Rates and Foreign Exchange Rates in a Two-country (Timeline) Transitional Equilibrium Path

gemNonexcludability

Some Examples Illustrating Non-excludability

gemMarketClearingPath_2_2

Some Examples of Spot Equilibrium Paths

gemOLGF_PureExchange

Overlapping Generations Financial Sequential Models for Pure Exchange Economies

gemNonrivalry_Uncongestiblity

Some Examples Illustrating Uncongestible Non-rival Goods

Some 3-by-3 General Equilibrium Models with Money and Exogenous Interest Rate

A General Equilibrium Model with Money

gemOLGF_OneFirm

Overlapping Generations Financial Sequential Models with One Firm

Some Examples of Spot Equilibrium Paths Involving Land and Labor

gemLand_Labor_Capital_4_3

Some Examples of Spot Equilibrium Paths Involving Land, Labor and Capital

gemNonrivalry_Congestiblity

Some Examples Illustrating Congestible Non-rival Goods

gemOLGF_TwoFirms

Overlapping Generations Financial Sequential Models with Two Firms

Some Examples of Basic (Timeline) OLG Models with Production

gemOLG_PublicFirm

Some Examples of (Timeline) OLG Models with Production and Public Firms

gemOLG_PureExchange

The Basic Overlapping Generations Pure Exchange Model (see Samuelson, 1958)

gemOLG_PrivateFirm

Overlapping Generations Models with Private Firm

gemOLG_Land_4_3

An Overlapping Generations Model with Land

gemOLG_PureExchange_Bank

Overlapping Generations Pure Exchange Models with Bank

gemOLG_StochasticSequential_3_3

A 3-by-3 OLG Stochastic Sequential General Equilibrium Model

gemOLG_StochasticSpotEquilibrium_3_3

An Example Illustrating OLG Stochastic Spot Equilibrium Paths

gemOLG_TimeCircle

Time-Circle Models (Closed Loop Overlapping Generations Models)

gemRobinson_3_2

A Robinson Crusoe Economy

gemShortTermInvestment_2_3

Some Examples Illustrating Short-Term Investment

gemQuasilinearPureExchange_2_2

A Pure Exchange Economy with a Quasilinear Utility Function

gemResearchDevelopmentIntensity

Some Examples of Spot Equilibrium Paths Illustrating Research and Development Intensity

Some General Equilibrium Models with Skill (i.e. Human Capital)

gemSpotEquilibriumPath_StickyDecisions

Some Examples of Spot Equilibrium Paths with Sticky Decisions

gemPersistentTechnologicalProgress

Some Examples of Spot Equilibrium Paths with Persistent Technological Progress

gemPureExchange

Some Simple Pure Exchange Equilibrium Models

gemOpenEconomy_4_4

A 4-by-4 Open Economy with Bond

gemOpenEconomy_6_6

A 6-by-6 Open Economy with Bond

gemTax_QuasilinearPreference_4_4

A General Equilibrium Model with Tax and Quasilinear Utility Functions.

gemStickyPricePath_2_2

Some Examples Illustrating the Sticky-Price Path and Business Cycles

gemStickyDecisionPath_2_2

An Example Illustrating the Sticky-Decision Path and Business Cycles

Some General Equilibrium Models with Tax

gemTax_VAT_IncomeTax_5_4

A General Equilibrium Model with Value-added Tax and Income Tax

gemTechnologyProgress_PopulationGrowth

Some General Equilibrium Models with Technology Progress and Population Growth

gemTemporaryEquilibriumPath

Some Examples of Temporary Equilibrium Paths

A General Equilibrium Model with Tax (see Cardenete et al., 2012).

A General Equilibrium Model with Tax

Some General Equilibrium Models with Endogenous Tax Rates

gemTwoCountry_Tariff_9_5

An Example of Two-Country Economy with Tariff

Some Simple 3-by-3 General Equilibrium Models

gemTwoCountry_RealExchangeRateIndex_7_4

Calculating Real Exchange Rate Index

gemTwoIndustries_4_3

A 4-by-3 Economy with Two Industries

Some Simple 3-by-2 General Equilibrium Models

gemTwoCountryForeignExchangeRate_6_6

Example 7.6 (Foreign Exchange Rate) in Li (2019)

gemTwoCountryPureExchange_Bond

Some Examples of Two-Country Pure Exchange Economy with Bond

gemTwoCountryPureExchange

Some Examples of Two-Country Pure Exchange Economy

Some Simple 2-by-2 General Equilibrium Models

Iteration Function

Some Simple 3-by-4 General Equilibrium Models

gemstEndogenousProductionFunction_2_2

A General Equilibrium Model with Endogenous Production Function

gemstEndogenousLaborSupply_2_2

A General Equilibrium Model with Endogenous Labor Supply

gemstStructuralMultipleEquilibria_2_2

Structural Multiple Equilibria and Structural Transition Policy

gemTwoCountry_Bond_7_4

An Example of Two-Country Economy with Bond

gemstEndogenousUtilityFunction

Some General Equilibrium Models with Endogenous Utility Function

Some Simple 4-by-4 General Equilibrium Models

makeCountercyclicalProductTax

Make a Countercyclical Product Tax Policy Function

Compute the Growth Rate

marginal_utility

Marginal Utility

matrix_add_by_name

Add Matrices by Names of Columns and Rows

makePolicySupply

Make a Policy of Supply

gemstIntertemporal_EndogenousProductionFunction_2_2

An Intertemporal Equilibrium Model with Endogenous Production Function

makePolicyStickyPrice

Make a Policy of Sticky Price

makePolicyIncomeTax

Make a Policy of Income Tax

makePolicyHeadAdjustment

Make a Policy of Head Adjustment for a Timeline Model

makePolicyHeadTailAdjustment

Make a Policy of Head and/or Tail Adjustment for a Timeline Model

makePolicyTailAdjustment

Make a Policy of Tail Adjustment for a Timeline Model

makePolicyTechnologyChange

Make a Policy of Technology Change

Insert Nodes into a Tree

makePolicyMeanValue

Make a Mean Value Policy Function

Plot a Tree and Show the Type Attribute

Print a Tree and Its Fields

Prune Nodes off a Tree by Names

Replace a Node of a Tree

Compute the Utility of a Consumer or the Output of a Firm by the Demand Structural Tree

Create a Tree or Set Attributes for a Node

policyMarketClearingPrice

Market-Clearing-Price Policy Function

matrix_aggregate

Aggregate Some Rows and Columns of a Matrix

Convert a Matrix into a Demand Structural Tree List

Population Variance and Population Standard Deviation

Conversion between a Rate Vector and a Beta Vector

Structural Dynamic Model (alias Structural Growth Model) Version 2

Ratio Adjustment

structural_function

Structural Function

Compute the Return Rate in the Steady State Equilibrium

Structural Dynamic Model (alias Structural Growth Model) with a Demand Structure Tree List

policyMeanValue

Mean Value Policy Function