{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Model SIM " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Model SIM is introduced in chapter 3 of {cite:t}`GodleyLavoie2006MonetaryEconomicsIntegrated` \"Monetary Economics: An Integrated Approach to Credit, Money, Income, Production and Wealth\" and represents the \"simplest model with government money\". That is, this is a model with only _outside money_ (from the government)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Module Contents\n", "\n", "As with all `MacroStat` models, SIM is divided into Variables, Parameters (fixed constants), Scenarios, and the Behavior (model initialization and steps). The module-level documentation, such as all variables/parameters/scenarios and their notation or the behavioral equations associated with each function of `BehaviorSIM.py` can be seen in:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```{eval-rst}\n", ".. toctree::\n", " :maxdepth: 2\n", "\n", " Variables \n", " Parameters \n", " Equations \n", " Scenarios \n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ":::{Note}\n", "The remainder of this page gives an introduction to the model, notes on how it is implemented in `MacroStat` and then shows some of the model dynamics by replicating the relevant graphs of Godley and Lavoie (2006).\n", ":::" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model Overview" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transaction Flow Matrix\n", "\n", "The accounting of transactions for model SIM is as follows:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```{csv-table} Accounting Transaction Matrix for Model SIM\n", ":file: GL06SIM/transaction_matrix.csv\n", ":header-rows: 2\n", ":stub-columns: 1\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Balance Sheet Matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```{csv-table} Balance Sheet for Model SIM\n", ":file: GL06SIM/balance_sheet.csv\n", ":header-rows: 2\n", ":stub-columns: 1\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation in MacroStat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Transposing these eleven equations to the `MacroStat` framework, we consider that there are:\n", "\n", "1. Three parameters (fixed constants): $\\alpha_1$, $\\alpha_2$, and $\\theta$ (see [Parameters](GL06SIM/parameters.rst))\n", "2. Two scenario variables : $G_d(t)$ and $W(t)$ (see [Scenarios](GL06SIM/scenarios.rst))\n", "3. The remaining 14 tracked series are variables (see [Variables](GL06SIM/variables.rst))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Behavioral Modeling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the implementation of the behavioral equations (see [Behavior](GL06SIM/behavior.rst)), most prior implementations have made use of some form of linear solver or iteration until the system is solved. To simplify the implementation in Macrostat, we can note that the system can be solved analytically for a given timestep as follows:\n", "\n", "Substitute into the labour demand equation to obtain\n", "```{math}\n", "N_d(t) =\\frac{1}{W(t)}(C_d(t) + G_d(t))\n", "```\n", "where we can already note that $W(t)$ and $G_d(t)$ are exogenously given (they are scenario variables). This leaves us to solve for $C_d(t)$, where we can use the consumption demand and disposable income equations to obtain\n", "```{math}\n", "N_d(t) =\\frac{1}{W(t)}(\\alpha_1(1-\\theta)W(t)N_s(t) + \\alpha_2 H_h(t-1) + G_d)\n", "```\n", "now noting from the labour clearing condition that supply=demand, we can rewrite the above as\n", "```{math}\n", ":label: gl06_sim_eq13_solutionLabourDemand\n", "N_d(t) =\\frac{\\alpha_2 H_h(t-1) + G_d}{W(t)(1-\\alpha_1(1-\\theta))}\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Therefore, for a given period $t$ we can solve the system by solving, in order:\n", "1. Eq. {eq}`gl06_sim_eq302_governmentClearing` given the scenario variable\n", "2. Eq. {eq}`gl06_sim_eq13_solutionLabourDemand` for labour demand based on prior information $H_h(t)$ and scenario variables $W(t)$ and $G_d(t)$ (this replaces the need to run Eq. {eq}`gl06_sim_eq311_labourDemand`)\n", "3. Eq. {eq}`gl06_sim_eq304_labourClearing`\n", "4. Tax demand, given labour, Eq. {eq}`gl06_sim_eq306_taxDemand`\n", "5. Tax supply, given demand, Eq. {eq}`gl06_sim_eq303_taxClearing`\n", "6. Disposable income, given labour supply and tax demand, Eq. {eq}`gl06_sim_eq305_disposableIncome`\n", "7. Consumption demand, given disposable income, Eq. {eq}`gl06_sim_eq307_consumptionDemand`\n", "8. Consumption supply, given demand, Eq. {eq}`gl06_sim_eq301_consumptionClearing`\n", "9. Government stock of money, Eq. {eq}`gl06_sim_eq308_governmentDeposits`\n", "10. Household stock of deposits, Eq. {eq}`gl06_sim_eq309_householdDeposits`\n", "11. National income, Eq. {eq}`gl06_sim_eq310_nationalIncome`\n", "\n", "This is implemented as such in the [Behavior](GL06SIM/behavior.rst) class. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model Dynamics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Preparatory Steps" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "from matplotlib import pyplot as plt\n", "from macrostat.models import get_model\n", "\n", "plt.style.use(\"../../macrostat.mplstyle\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convergence to the Steady State" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In {cite:t}`GodleyLavoie2006MonetaryEconomicsIntegrated` models are initialized with almost all of the variables set to zero. For model SIM the only non-zero item is that in period 0 the government demand is 20, i.e. the government creates 20 monetary units of demand. Thereafter the system converges to a steady state. We can see this by simulating the default parameters and checking that total national income is 100. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "GLO6SIM = get_model(\"GL06SIM\")\n", "model = GLO6SIM()\n", "model.simulate()\n", "output = model.variables.to_pandas()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### National Income" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "steady_state_income = model.scenarios[(0,\"GovernmentDemand\")][0] / model.parameters[\"TaxRate\"]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 1, figsize=(5, 3))\n", "axs.plot(output.index, output['NationalIncome'], color='k', label='National Income (Y)')\n", "axs.axhline(y=steady_state_income, color='r', linestyle='--', label=r'Steady State Income $Y^\\star=\\frac{G}{\\theta}$')\n", "axs.legend(loc='lower right', frameon=False)\n", "axs.set_xlim(0,40)\n", "axs.set_title('Figure SIM.0: Convergence of National Income\\nto the Steady State')\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Disposable Income and Consumption\n", "\n", "Corresponding to Figure 3.2 \"Disposable income and consumption starting from scratch\"" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "steady_state_consumption= (model.scenarios[(0,\"GovernmentDemand\")][0] * (1-model.parameters[\"TaxRate\"])) / model.parameters[\"TaxRate\"]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 1, figsize=(5, 3))\n", "axs.plot(output.index, output['DisposableIncome'], color='k', label='Disposable Income (YD)')\n", "axs.plot(output.index, output['ConsumptionDemand'], color='g', label='Consumption (C)')\n", "axs.axhline(y=steady_state_consumption, color='r', linestyle='--', label=r'Steady State Consumption $C^\\star=\\frac{G(1-\\theta)}{\\theta}$')\n", "axs.legend(loc='lower right', frameon=False)\n", "axs.set_xlim(0,40)\n", "axs.set_title('Figure SIM.1: Convergence of disposable income (YD)\\nand consumption (C) to the Steady State')\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Wealth and Savings\n", "\n", "Corresponding to Figure 3.3 \"Wealth change and wealth level, starting from scratch (Table 3.4)\"" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "alpha3 = (1-model.parameters[\"PropensityToConsumeSavings\"]) / model.parameters[\"PropensityToConsumeIncome\"]\n", "steady_state_wealth = alpha3 * (model.scenarios[(0,\"GovernmentDemand\")][0] * (1-model.parameters[\"TaxRate\"])) / model.parameters[\"TaxRate\"]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 1, figsize=(5, 3))\n", "line1 = axs.plot(output.index, output['HouseholdMoneyStock'].diff(), color='k', label='Savings, $\\Delta H_h$ (LHS)')\n", "ax2 = axs.twinx()\n", "line2 = ax2.plot(output.index, output['HouseholdMoneyStock'], color='k', linestyle='--', label='Household Money\\nStock, $H_h$ (RHS)')\n", "line3 = ax2.axhline(y=steady_state_wealth, color='g', label='Target Wealth, $H_h^\\star$ (RHS)')\n", "lines = line1 + line2 + [line3]\n", "labels = [l.get_label() for l in lines]\n", "axs.legend(lines, labels, loc='center right', frameon=False)\n", "axs.set_xlim(0,40)\n", "axs.set_title('Figure SIM.2: Savings and Household Money Stock')\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Perturbations in the Steady State" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following the convergence to the steady state, we can introduce a shock in government spending, increasing it by 5 units. Accordingly, the steady state given by $Y^\\star=\\frac{G}{\\theta}$ would shift to $Y^\\star=125$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This kind of scenario can easily be implemented in the `MacroStat` version by adding a scenario:\n", "1. Noting that we have convergence to the steady state at period 40, let us set this as the scenario trigger\n", "2. We then need a new timeseries for the scenario, where $G=25$ from the trigger period onwards" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "model.parameters[\"scenario_trigger\"] = 40\n", "model.scenarios.add_scenario(\n", " name=\"GovernmentDemandIncrease\",\n", " timeseries={\"GovernmentDemand\":25}\n", ")\n", "model.simulate(scenario=\"GovernmentDemandIncrease\")\n", "output_government_demand_increase = model.variables.to_pandas()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### National Income" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "steady_state_income_new = model.scenarios[(\"GovernmentDemandIncrease\",\"GovernmentDemand\")][-1] / model.parameters[\"TaxRate\"]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 1, figsize=(5, 3))\n", "axs.plot(output_government_demand_increase['NationalIncome'], color='k', label='National Income (Y)')\n", "axs.axhline(y=steady_state_income, color='r', linestyle='--', label='Prior Steady State Solution')\n", "axs.axhline(y=steady_state_income_new, color='g', linestyle='--', label='New Steady State Solution')\n", "axs.legend(loc='center right', frameon=False)\n", "axs.set_xlim(35,70)\n", "axs.set_ylim(95,130)\n", "axs.set_title('Figure SIM.3: Impact on national income Y of a\\n permanent increase in government expenditures')\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Consumption and Wealth" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "steady_state_wealth_new = alpha3 * (model.scenarios[(\"GovernmentDemandIncrease\",\"GovernmentDemand\")][-1] * (1-model.parameters[\"TaxRate\"])) / model.parameters[\"TaxRate\"]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 1, figsize=(5, 3))\n", "line1 = axs.plot(output_government_demand_increase['HouseholdMoneyStock'].diff(), color='k', label='Savings, $\\Delta H_h$ (LHS)')\n", "ax2 = axs.twinx()\n", "line2 = ax2.plot(output_government_demand_increase['HouseholdMoneyStock'], color='k', linestyle='--', label='Household Money\\nStock, $H_h$ (RHS)')\n", "line3 = ax2.axhline(y=steady_state_wealth_new, color='g', label='Target Wealth, $H_h^\\star$ (RHS)')\n", "lines = line1 + line2 + [line3]\n", "labels = [l.get_label() for l in lines]\n", "axs.legend(lines, labels, loc='center right', frameon=False)\n", "axs.set_xlim(35,70)\n", "ax2.set_ylim(75,105)\n", "axs.set_title('Figure SIM.4: Savings and Household Money Stock')\n", "plt.tight_layout()\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 4 }