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GE (version 0.3.9)

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 and 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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Version

Install

install.packages('GE')

Monthly Downloads

629

Version

0.3.9

License

GPL-2 | GPL-3

Maintainer

LI Wu

Last Published

August 17th, 2023

Functions in GE (0.3.9)

Standard CES Function

Constant Absolute Risk Aversion (CARA) Utility Function

Quasilinear Demand Functions

Displaced CES Utility Function and Displaced CES Demand Function

Demand coefficients of the CESAK Production Function

Modified Displaced CES Demand Function

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

Additive-Mean-Standard-Deviation Portfolio Utility Function

Constant Relative Risk Aversion (CRRA) Utility Function

demCreditPolicy

A Disequilibrium Model with Credit

gemAssetPricingExample

Some Examples of Asset Pricing

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

apply_expand.grid

Applying a Function to All Combinations of the Supplied Vectors

Tidy a General Equilibrium

demInsufficientEffectiveDemand_3_3

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

gemAssetExchange_MatthewEffect_2_2

An Example Illustrating the Matthew Effect of Asset Exchange

Standard CES Demand Coefficient Matrix

gemAssetPricing_PUF

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

gemCanonicalDynamicMacroeconomic_4_3

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

gemCanonicalDynamicMacroeconomic_3_2

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

gemCoffeeProblem_3_3

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

gemCanonicalDynamicMacroeconomic_Timeline_2_2

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

gemCanonicalDynamicMacroeconomic_Sequential_WagePostpayment_4_3

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

gemCanonicalDynamicMacroeconomic_TimeCircle_2_2

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

gemCanonicalDynamicMacroeconomic_Sequential_3_2

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

gemBalancedGrowthPath

Some Examples of Balanced Growth Paths

gemCapitalAccumulation

Some Examples of Market-Clearing Paths with Capital Accumulation

gemCESAK_Timeline_2_2

Some Timeline Equilibrium Models with CESAK Production Function

gemExternality_Negative

Some Examples Illustrating Negative Externality

gemDualLinearProgramming

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

A Model with a Displaced CES Utility Function

gemExternality_Positive

Some Examples Illustrating Positive Externality

gemExogenousUtilityLevel_EndogenousLaborSupply_3_3

Some Examples with Exogenous Utility Level and Endogenous Labor Supply

gemEquityShare_Bond_4_4

A General Equilibrium Model with Equity Shares and Bond

gemConstantGrowthPath_TechnologyProgress_3_3

Constant Growth Paths with Technology Progress

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)

gemEquityShare_3_3

A General Equilibrium Model with Equity Shares

gemFirmAsConsumer

Some Examples of Treating Firms as Consumer-Type Agents

gemHeterogeneousFirms_2_3

Market Clearing Paths with Heterogeneous Firms

gemInputOutputTable_7_4

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

gemInputOutputTable_5_4

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

gemInputOutputTable_2_7_4

A Two-Country General Equilibrium Model

gemInputOutputTable_2_8_4

A Two-Country General Equilibrium Model with Money

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

gemInformation_ProductQuality

An Example Illustrating Product Quality Information

gemInputOutputTable_5_5

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

gemIntertemporalStochastic_TwoPeriods

Some Examples of a Two-Period Intertemporal Stochastic Equilibrium Model

gemInputOutputTable_SCES_3_3

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

gemInputOutputTable_Leontief_3_3

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

gemInputOutputTable_8_8

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

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)

gemIntertemporal_2_2

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

gemIntertemporalStochastic_Bank_ThreePeriods

An Intertemporal Stochastic Model with a Consumer and Some Banks

gemIntertemporal_3_3

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

gemIntertemporalStochastic_ThreePeriods_2_2

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

gemIntertemporal_1_2

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

gemIntertemporal_Dividend_TechnologicalProgress

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

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_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

gemIntertemporal_Money_Dividend_Example7.5.1

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

gemIntertemporal_Dividend

The Identical Steady-state Equilibrium: Four Models Illustrating Dividend

gemIntertemporal_4_4

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

gemIntertemporal_FinancialClaim

Some Intertemporal Models with Financial Claim

gemIntertemporal_Bank_1_3

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

gemIntertemporal_TimeCircle_Stochastic_2_2

Some 2-by-2 Time Circle Models with Uncertainty

gemIntertemporal_TimeCircle_3_4

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

A General Equilibrium Model with Money

gemMarketClearingPath_2_2

Some Examples of Market Clearing Paths

gemNonexcludability

Some Examples Illustrating Non-excludability

Some 3-by-3 General Equilibrium Models with Money

gemLand_Labor_Capital_4_3

Some Examples of Market Clearing Paths Involving Land, Labor and Capital

Some Examples of Market Clearing Paths Involving Land and Labor

gemIntertemporal_TimeCircle_Bank_1_2

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

gemNonrivalry_Congestiblity

Some Examples Illustrating Congestible Non-rival Goods

gemOLGFTwoFirms

Overlapping Generations Financial Models with Two Firms

gemNonrivalry_Uncongestiblity

Some Examples Illustrating Uncongestible Non-rival Goods

gemOLGPureExchange_Bank

Overlapping Generations Pure Exchange Models with Bank

gemOLGStochasticSequential_3_3

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

gemOLGFPureExchange

Overlapping Generations Financial Models for Pure Exchange Economies

Overlapping Generations Financial Models with One Firm

gemOLGPureExchange_2_2

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

gemOLGTimeCircle

Time-Circle Models (Closed Loop Overlapping Generations Models)

gemOLGPrivateFirm

Overlapping Generations Models with Private Firm

An Overlapping Generations Model with Land

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

gemQuasilinearPureExchange_2_2

A Pure Exchange Economy with a Quasilinear Utility Function

gemOpenEconomy_6_6

A 6-by-6 Open Economy with Bond

gemPersistentTechnologicalProgress

Some Examples of Market Clearing Paths with Persistent Technological Progress

gemOpenEconomy_4_4

A 4-by-4 Open Economy with Bond

gemStickyPricePath_2_2

An Example Illustrating the Sticky-Price Path

gemShortTermInvestment_2_3

Some Examples Illustrating Short-Term Investment

gemRobinson_3_2

A Robinson Crusoe Economy

gemResearchDevelopmentIntensity

Some Examples of Market-Clearing Paths Illustrating Research and Development Intensity

gemPureExchange

Some Simple Pure Exchange Equilibrium Models

gemTechnologyProgress_PopulationGrowth

Some General Equilibrium Models with Technology Progress and Population Growth

gemTwoCountryForeignExchangeRate_6_6

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

Some General Equilibrium Models with Tax

Some General Equilibrium Models with Endogenous Tax Rates

A General Equilibrium Model with Tax

gemTax_QuasilinearPreference_4_4

A General Equilibrium Model with Tax and Quasilinear Utility Functions.

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

gemTax_VAT_IncomeTax_5_4

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

gemTemporaryEquilibriumPath

Some Examples of Temporary Equilibrium Paths

gemTwoCountryPureExchange

Some Examples of Two-Country Pure Exchange Economy

Some Simple 3-by-4 General Equilibrium Models

gemTwoCountry_Tariff_9_5

An Example of Two-Country Economy with Tariff

Some Simple 4-by-4 General Equilibrium Models

Some Simple 3-by-3 General Equilibrium Models

Some Simple 3-by-2 General Equilibrium Models

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

makePolicyIncomeTax

Make a Policy of Income Tax

gemstEndogenousUtilityFunction

Some General Equilibrium Models with Endogenous Utility Function

gemstEndogenousProductionFunction_2_2

A General Equilibrium Model with Endogenous Production Function

gemstStructuralMultipleEquilibria_2_2

Structural Multiple Equilibria and Structural Transition Policy

makePolicyHeadTailAdjustment

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

makePolicyMeanValue

Make a Mean Value Policy Function

Iteration Function

gemstEndogenousLaborSupply_2_2

A General Equilibrium Model with Endogenous Labor Supply

makeCountercyclicalProductTax

Make a Countercyclical Product Tax Policy Function

Compute the Growth Rate

makePolicyStickyPrice

Make a Policy of Sticky Price

marginal_utility

Marginal Utility

Insert Nodes into a Tree

Convert a Matrix into a Demand Structural Tree List

Plot a Tree and Show the Type Attribute

matrix_add_by_name

Add Matrices by Names of Columns and Rows

makePolicyTechnologyChange

Make a Policy of Technology Change

matrix_aggregate

Aggregate Some Rows and Columns of a Matrix

makePolicySupply

Make a Policy of Supply

Ratio Adjustment

Create a Tree or Set Attributes for a Node

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

policyMeanValue

Mean Value Policy Function

Replace a Node of a Tree

policyMarketClearingPrice

Market-Clearing-Price Policy Function

Structural Dynamic Model (alias Structural Growth Model) Version 2

Print a Tree and Its Fields

Conversion between a Rate Vector and a Beta Vector

Prune Nodes off a Tree by Names

Population Variance and Population Standard Deviation

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

Compute the Return Rate in the Steady State Equilibrium

structural_function

Structural Function