{ "cells": [ { "cell_type": "markdown", "id": "12227f02", "metadata": {}, "source": [ "# Mark-0 COVID Heterogeneous-Agent ABM" ] }, { "cell_type": "markdown", "id": "36a87e6a", "metadata": {}, "source": [ "Mark-0 {cite:t}`BouchaudGualdiTarziaZamponi2018OptimalInflation` is a\n", "closed-economy ABM with $N$ firms, one representative household, one\n", "commercial bank, and one central bank. The COVID extension\n", "{cite:p}`SharmaBouchaudGualdiTarziaZamponi2021COVID` adds the\n", "parameter set used to study V-, U-, L-, and W-shaped recovery\n", "regimes. Each macro period executes an ordered 24-phase loop:\n", "price/wage adjustment, hiring/firing, production, household\n", "consumption, interest-rate setting, bankruptcy, and firm revival.\n", "\n", "Stochastic phases are reparameterised through three independent\n", "frozen $U(0, 1)$ noise buffers of shape ``(timesteps, N_firms)``\n", "pre-drawn in ``initialize()``. Boundary conditions on the two\n", "gradient-critical paths (``stay_alive`` indicator and the positive-$Y$\n", "guard) use ``Behavior.diffwhere``; all other branches use plain\n", "``torch.where``, matching the abmstat reference pattern." ] }, { "cell_type": "markdown", "id": "f1d05ff2", "metadata": {}, "source": [ "## Module Contents\n", "\n", "Mark0COVID is divided into Variables, Parameters (fixed constants),\n", "Scenarios, and the Behavior (model initialization and steps). See the\n", "sibling pages linked from the model index for the per-component\n", "tables." ] }, { "cell_type": "markdown", "id": "bf91ef43", "metadata": {}, "source": [ "## Implementation in MacroStat\n", "\n", "The forward pass is differentiable end-to-end. The 24-phase loop is\n", "decomposed into named methods on ``BehaviorMark0COVID`` so that each\n", "phase carries its own docstring and ``Equations`` section.\n", "``ParametersMark0COVID.get_default_hyperparameters`` sets\n", "``dtype = torch.float64`` to match the abmstat reference precision." ] }, { "cell_type": "markdown", "id": "e0af2dcc", "metadata": {}, "source": [ "## Model Dynamics" ] }, { "cell_type": "markdown", "id": "8c3bba7c", "metadata": {}, "source": [ "### Preparatory Steps" ] }, { "cell_type": "code", "execution_count": 1, "id": "17e3965c", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import importlib\n", "import logging\n", "import sys\n", "\n", "from matplotlib import pyplot as plt\n", "\n", "from macrostat.models.Mark0COVID import Mark0COVID, ParametersMark0COVID\n", "\n", "plt.style.use(\"../../macrostat.mplstyle\")\n", "importlib.reload(logging)\n", "logging.basicConfig(stream=sys.stdout, level=logging.INFO)" ] }, { "cell_type": "markdown", "id": "535d1250", "metadata": {}, "source": [ "### Four Gualdi phases\n", "\n", "{cite:t}`GualdiTarziaZamponiBouchaud2015TippingPoints` show that the\n", "Mark-0 long-run regime is determined by the location of $(R, \\Theta)$\n", "in the parameter plane, where $R = \\eta_+/\\eta_-$ is the\n", "hiring/firing asymmetry and $\\Theta$ is the bankruptcy default\n", "threshold. Four phases occupy distinct regions:\n", "\n", "- **FU** (Full Unemployment): $R < R_c$, the economy collapses to\n", " near-zero employment regardless of $\\Theta$.\n", "- **RU** (Residual Unemployment): $R > R_c$, low $\\Theta$; firms\n", " default quickly so a non-trivial unemployment rate persists.\n", "- **EC** (Endogenous Crises): $R > R_c$, intermediate $\\Theta$;\n", " bankruptcy cascades trigger large oscillations between near-FE\n", " and near-FU regimes.\n", "- **FE** (Full Employment): $R > R_c$, large $\\Theta$; defaults are\n", " rare and the economy sits near full employment.\n", "\n", "Each phase is realised as a distinct ``ParametersMark0COVID``\n", "instance varying ``HiringFiringRate`` ($R$) and ``DefaultThreshold``\n", "($\\Theta$) only; all other parameters take their default values." ] }, { "cell_type": "code", "execution_count": 18, "id": "0dbbfd16", "metadata": {}, "outputs": [], "source": [ "phases = {\n", " \"FU (R=0.5, Theta=3)\": (0.5, 3.0),\n", " \"RU (R=2, Theta=0.5)\": (2.0, 0.5),\n", " \"EC (R=2, Theta=1.2)\": (2.0, 1.2),\n", " \"FE (R=2, Theta=5)\": (2.0, 5.0),\n", "}\n", "\n", "paths = {}\n", "for label, (R, Theta) in phases.items():\n", " params = ParametersMark0COVID(\n", " hyperparameters={\"timesteps\": 1000, \"N_firms\": 10000, \"seed\": 0},\n", " )\n", " params[\"HiringFiringRate\"] = R\n", " params[\"DefaultThreshold\"] = Theta\n", " model = Mark0COVID(parameters=params)\n", " model.simulate()\n", " paths[label] = model.variables.to_pandas()" ] }, { "cell_type": "markdown", "id": "48ba8afa", "metadata": {}, "source": [ "### Unemployment trajectory\n", "\n", "The aggregate unemployment series isolates the four phases at a\n", "glance. FU collapses to $u \\to 1$; RU settles at a positive\n", "residual; EC oscillates between near-FE and near-FU bands; FE\n", "converges close to full employment." ] }, { "cell_type": "code", "execution_count": 19, "id": "577be2a1", "metadata": { "jupyter": { "source_hidden": true } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 4))\n", "colors = [\"tab:red\", \"tab:orange\", \"tab:blue\", \"k\"]\n", "\n", "for color, (label, df) in zip(colors, paths.items()):\n", " ax.plot(df.index, df[\"Unemployment\"], color=color, linewidth=1.0, label=label)\n", "\n", "ax.set_title(\"Figure Mark0COVID.1: Unemployment across the four Gualdi phases\")\n", "ax.set_xlabel(\"period\")\n", "ax.set_ylabel(r\"unemployment $u_t$\")\n", "ax.set_ylim(-0.02, 1.02)\n", "ax.legend(loc=\"center right\", frameon=False, fontsize=9)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "538c64b8", "metadata": {}, "source": [ "### Notes\n", "\n", "- The shape of every het-agent state tensor in\n", " ``model.variables.timeseries`` is ``(T + 1, N_firms)``; aggregates\n", " are stored as ``(T + 1, 1)``. ``to_pandas()`` returns a multi-column\n", " DataFrame indexed by ``time``." ] }, { "cell_type": "code", "execution_count": null, "id": "62c237e0-11d5-4370-ac0b-c166e211e0d9", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,py:percent" }, "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": "3.11.14" } }, "nbformat": 4, "nbformat_minor": 5 }