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GE (version 0.5.3)

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

424

Version

0.5.3

License

GPL-2 | GPL-3

Maintainer

LI Wu

Last Published

November 27th, 2025

Functions in GE (0.5.3)

gemAssetPricing_CUF

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

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

gemBalancedGrowthPath

Some Examples of Balanced Growth Paths

gemCanonicalDynamicMacroeconomic_3_2

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

gemCESAK_Timeline_2_2

Some Timeline Equilibrium Models with CESAK Production Function

gemExogenousUtilityLevel_EndogenousLaborSupply_3_3

Some Examples with Exogenous Utility Level and Endogenous Labor Supply

gemExternality_Negative

Some Examples Illustrating Negative Externality

gemCanonicalDynamicMacroeconomic_Sequential_WagePostpayment_4_3

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

gemEquityShare_Bond_4_4

A General Equilibrium Model with Equity Shares and Bond

gemEquityShare_3_3

A General Equilibrium Model with Equity Shares

gemConstantGrowthPath_TechnologyProgress_3_3

Constant Growth Paths with Technology Progress

A Model with a Displaced CES Utility Function

gemCapitalAccumulation

Some Examples of Spot Equilibrium Paths with Capital Accumulation

gemCoffeeProblem_3_3

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

gemExogenousPrice_EndogenousLaborSupply_3_3

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

gemExogenousPrice

Some Examples with Exogenous Price (Price Control)

gemFirmAsConsumer

Some Examples of Treating Firms as Consumer-Type Agents

gemExternality_Positive

Some Examples Illustrating Positive Externality

gemInputOutputTable_2_7_2

A Two-Country General Equilibrium Model

gemInputOutputTable_2_2

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

gemCanonicalDynamicMacroeconomic_Timeline_2_2

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

gemCanonicalDynamicMacroeconomic_TimeCircle_2_2

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

gemDynamicMacroeconomic_SpotTrading_3_2

A Dynamic Macroeconomic General Equilibrium Model with Spot Trading

gemInputOutputTable_5_4

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

gemDualLinearProgramming

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

gemInputOutputTable_5_5

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

gemHeterogeneousFirms_2_3

Spot equilibrium paths with Heterogeneous Firms

gemInformation_ProductQuality

An Example Illustrating Product Quality Information

gemInputOutputTable_2_7_4

A Two-Country General 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

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)

gemInputOutputTable_2_8_4

A Two-Country General Equilibrium Model with Money

gemIntertemporalStochastic_Bank_ThreePeriods

An Intertemporal Stochastic Model with a Consumer and Some Banks

gemInputOutputTable_SCES_3_3

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

gemInputOutputTable_8_8

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

gemInputOutputTable_7_4

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

gemIntertemporal_1_2

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

gemIntertemporalStochastic_TwoPeriods

Some Examples of a Two-Period Intertemporal Stochastic Equilibrium Model

gemIntertemporal_AdValoremClaim

Some Intertemporal Models with Ad Valorem Claim

gemIntertemporal_5_5

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

gemIntertemporal_Bank_1_3

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

gemIntertemporal_Bank_1_2

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

gemIntertemporal_3_3

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

gemIntertemporal_2_2

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

gemIntertemporal_3_4

An Intertemporal Model with Two Consumers and Two Types of Firms

gemIntertemporal_4_4

An Intertemporal Model with Land, 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

Some Examples of Spot Equilibrium Paths Involving Land and Labor

gemIntertemporal_TimeCircle_Stochastic_2_2

Some 2-by-2 Time Circle Models with Uncertainty

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_TimeCircle_2_2

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

gemIntertemporal_TimeCircle_3_3

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

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

A General Equilibrium Model with Money

gemNonrivalry_Congestiblity

Some Examples Illustrating Congestible Non-rival Goods

gemIntertemporal_EndogenousEquilibriumInterestRate_ForeignExchangeRate

Some Examples Illustrating Endogenous Equilibrium Interest Rates and Foreign Exchange Rates in an Intertemporal Pure Exchange Economy with Two Currencies

gemNonexcludability

Some Examples Illustrating Non-excludability

gemIntertemporal_EndogenousEquilibriumInterestRate

Some Examples Illustrating Endogenous Equilibrium Interest Rates in (Timeline) Transitional Equilibrium Paths

gemMarketClearingPath_2_2

Some Examples of Spot Equilibrium Paths

gemLand_Labor_Capital_4_3

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

gemOLGF_PureExchange

Overlapping Generations Financial Sequential Models for Pure Exchange Economies

gemOLGF_TwoFirms

Overlapping Generations Financial Sequential Models with Two Firms

Some Examples of Basic (Timeline) OLG Models with Production

gemIntertemporal_Money_Dividend_Example7.5.1

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

gemIntertemporal_PublicFirm

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

gemOLG_PrivateFirm

Overlapping Generations Models with Private Firm

gemOLG_TimeCircle

Time-Circle Models (Closed Loop Overlapping Generations Models)

gemOLG_StochasticSpotEquilibrium_3_3

An Example Illustrating OLG Stochastic Spot Equilibrium Paths

gemOLGF_OneFirm

Overlapping Generations Financial Sequential Models with One Firm

gemNonrivalry_Uncongestiblity

Some Examples Illustrating Uncongestible Non-rival Goods

gemQuasilinearPureExchange_2_2

A Pure Exchange Economy with a Quasilinear Utility Function

gemOLG_PureExchange_Bank

Overlapping Generations Pure Exchange Models with Bank

gemPersistentTechnologicalProgress

Some Examples of Spot Equilibrium Paths with Persistent Technological Progress

gemOLG_StochasticSequential_3_3

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

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)

gemOpenEconomy_6_6

A 6-by-6 Open Economy with Bond

gemOpenEconomy_4_4

A 4-by-4 Open Economy with Bond

gemPureExchange

Some Simple Pure Exchange Equilibrium Models

gemTwoCountryPureExchange

Some Examples of Two-Country Pure Exchange Economy

gemTwoCountryForeignExchangeRate_6_6

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

gemResearchDevelopmentIntensity

Some Examples of Spot Equilibrium Paths Illustrating Research and Development Intensity

gemStickyPricePath_2_2

Some Examples Illustrating the Sticky-Price Path and Business Cycles

gemTemporaryEquilibriumPath

Some Examples of Temporary Equilibrium Paths

gemTechnologyProgress_PopulationGrowth

Some General Equilibrium Models with Technology Progress and Population Growth

gemStickyDecisionPath_2_2

An Example Illustrating the Sticky-Decision Path and Business Cycles

A General Equilibrium Model with Tax

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

gemShortTermInvestment_2_3

Some Examples Illustrating Short-Term Investment

Some General Equilibrium Models with Endogenous Tax Rates

Some General Equilibrium Models with Tax

gemRobinson_3_2

A Robinson Crusoe Economy

gemTax_VAT_IncomeTax_5_4

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

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

gemSpotEquilibriumPath_StickyDecisions

Some Examples of Spot Equilibrium Paths with Sticky Decisions

gemTax_QuasilinearPreference_4_4

A General Equilibrium Model with Tax and Quasilinear Utility Functions.

Some Simple 2-by-2 General Equilibrium Models

gemTwoIndustries_4_3

A 4-by-3 Economy with Two Industries

gemTwoCountryPureExchange_Bond

Some Examples of Two-Country Pure Exchange Economy with Bond

gemTwoCountry_Bond_7_4

An Example of Two-Country Economy with Bond

gemTwoCountry_RealExchangeRateIndex_7_4

Calculating Real Exchange Rate Index

gemstIntertemporal_EndogenousProductionFunction_2_2

An Intertemporal Equilibrium Model with Endogenous Production Function

gemstEndogenousUtilityFunction

Some General Equilibrium Models with Endogenous Utility Function

gemstEndogenousLaborSupply_2_2

A General Equilibrium Model with Endogenous Labor Supply

gemstEndogenousProductionFunction_2_2

A General Equilibrium Model with Endogenous Production Function

Some Simple 3-by-4 General Equilibrium Models

makePolicyHeadTailAdjustment

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

Some Simple 4-by-4 General Equilibrium Models

makePolicyHeadAdjustment

Make a Policy of Head Adjustment for a Timeline Model

makePolicyIncomeTax

Make a Policy of Income Tax

makePolicyMeanValue

Make a Mean Value Policy Function

makeCountercyclicalProductTax

Make a Countercyclical Product Tax Policy Function

marginal_utility

Marginal Utility

gemTwoCountry_Tariff_9_5

An Example of Two-Country Economy with Tariff

matrix_add_by_name

Add Matrices by Names of Columns and Rows

Iteration Function

makePolicyStickyPrice

Make a Policy of Sticky Price

makePolicySupply

Make a Policy of Supply

Insert Nodes into a Tree

Prune Nodes off a Tree by Names

Replace a Node of a Tree

Plot a Tree and Show the Type Attribute

matrix_aggregate

Aggregate Some Rows and Columns of a Matrix

Print a Tree and Its Fields

Convert a Matrix into a Demand Structural Tree List

Structural Dynamic Model (alias Structural Growth Model) Version 2

Conversion between a Rate Vector and a Beta Vector

Ratio Adjustment

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

structural_function

Structural Function

Compute the Return Rate in the Steady State Equilibrium

policyMeanValue

Mean Value Policy Function

policyMarketClearingPrice

Market-Clearing-Price Policy Function

gemstStructuralMultipleEquilibria_2_2

Structural Multiple Equilibria and Structural Transition Policy

Compute the Growth Rate

Some Simple 3-by-2 General Equilibrium Models

Some Simple 3-by-3 General Equilibrium Models

Create a Tree or Set Attributes for a Node

makePolicyTechnologyChange

Make a Policy of Technology Change

makePolicyTailAdjustment

Make a Policy of Tail Adjustment for a Timeline Model

Population Variance and Population Standard Deviation

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

Standard CES Function

Quasilinear Demand Functions

Constant Absolute Risk Aversion (CARA) Utility Function

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

Modified Displaced CES Demand Function

Displaced CES Utility Function and Displaced CES Demand Function

Demand coefficients of the CESAK Production Function

gemAssetPricingExample

Some Examples of Asset Pricing

Constant Relative Risk Aversion (CRRA) Utility Function

Tidy a General Equilibrium

demand_coefficient

Compute Demand Coefficients of an Agent with a Demand Structural Tree

demInsufficientDemand_3_3

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

Standard CES Demand Coefficient Matrix

Additive-Mean-Standard-Deviation Portfolio Utility Function

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

demCreditPolicy

A Disequilibrium Model with Credit