{ "cells": [ { "cell_type": "markdown", "id": "ddffdd27-761b-44a7-996f-02b579be697c", "metadata": {}, "source": [ "# Impartial Culture" ] }, { "cell_type": "code", "execution_count": 1, "id": "a8c66522-09e5-43c0-bd69-ee62874b5b27", "metadata": {}, "outputs": [], "source": [ "import sympy\n", "import numpy as np\n", "from actinvoting import *" ] }, { "cell_type": "code", "execution_count": 2, "id": "376b0b6f-31dd-48d1-b905-0ff145822489", "metadata": {}, "outputs": [], "source": [ "m = 3" ] }, { "cell_type": "code", "execution_count": 3, "id": "ee967e60-96d4-4a9f-96a0-032b55591740", "metadata": {}, "outputs": [], "source": [ "culture = CultureImpartial(m=m)\n", "session = WorkSession(culture=culture, c=m-1)" ] }, { "cell_type": "markdown", "id": "dade6843-0b8e-46d3-a065-a1bddadff741", "metadata": {}, "source": [ "## Runtimes" ] }, { "cell_type": "code", "execution_count": 4, "id": "92949407-efb9-4e55-8617-53e1370aa5e0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": 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"run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "run_time_str='0s'\n", "298 μs ± 10.8 μs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" ] } ], "source": [ "%%timeit\n", "equivalent_probas = equivalent_batch(session=session, ns=[100], n_jobs=1, force_recompute=True)" ] }, { "cell_type": "code", "execution_count": 5, "id": "7097d35b-4de4-4b1f-8ba3-aabf14105e8d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "run_time_str='15s'\n" ] } ], "source": [ "exact_probas = exact_batch(session=session, ns=[100], n_jobs=1, force_recompute=True)" ] }, { "cell_type": "code", "execution_count": 6, "id": "266d70ea-47b6-409b-b3b5-6b86c8f096da", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "run_time_str='4s'\n" ] } ], "source": [ "monte_carlo_probas = monte_carlo_batch(session=session, ns=[100], n_samples=10000, n_jobs=1, force_recompute=True)" ] }, { "cell_type": "markdown", "id": "237e4731-1e4b-4187-84ca-494f9fcb4ecd", "metadata": {}, "source": [ "## Plot" ] }, { "cell_type": "code", "execution_count": 7, "id": "e855bb3f-acb2-4ed6-99b7-80e551e90e62", "metadata": {}, "outputs": [], "source": [ "ns_equivalent_probas = list(range(2, 101))\n", "ns_exact_probas = list(range(2, 101))\n", "ns_monte_carlo_probas = list(range(2, 101))\n", "n_samples = 10000\n", "n_jobs = -1" ] }, { "cell_type": "code", "execution_count": 8, "id": "cdd423e7-dd49-4bc5-aad3-4411e650e6d1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading IC_self.m=3_c=2_hash(ns)=-7142264137129868933_equiv.pkl\n" ] } ], "source": [ "equivalent_probas = equivalent_batch(session=session, ns=ns_equivalent_probas, n_jobs=n_jobs)" ] }, { "cell_type": "code", "execution_count": 9, "id": "f8e43329-8b92-4ba8-ae91-787c4a7d7322", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading IC_self.m=3_c=2_hash(ns)=-7142264137129868933_n_samples=10000_mc.pkl\n" ] } ], "source": [ "monte_carlo_probas = monte_carlo_batch(session=session, ns=ns_monte_carlo_probas, n_samples=n_samples, n_jobs=n_jobs)" ] }, { "cell_type": "code", "execution_count": 10, "id": "23cacab6-b9ea-43f1-b99a-71e5cb4a6a85", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading IC_self.m=3_c=2_hash(ns)=-7142264137129868933_exact.pkl\n" ] } ], "source": [ "exact_probas = exact_batch(session=session, ns=ns_exact_probas, n_jobs=n_jobs)" ] }, { "cell_type": "code", "execution_count": 11, "id": "e39fc91b-62f5-4920-b48a-4356b164d378", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_simu_and_theo(\n", " equivalent_probas=equivalent_probas, monte_carlo_probas=monte_carlo_probas, exact_probas=exact_probas,\n", " ns_equivalent_probas=ns_equivalent_probas, ns_monte_carlo_probas=ns_monte_carlo_probas, ns_exact_probas=ns_exact_probas,\n", " log_scale=False, xmax=.4, legend_loc='lower right', y_label=r\"$\\mathbb{P}(3 \\text{ is CW})$\", file_name='ic_3.tex', verbose=False\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "a4d73dfc-e9f8-4d98-b9f1-b41e899ccb17", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "77565955-81c4-4be0-8f32-78e92b768977", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.12.6" } }, "nbformat": 4, "nbformat_minor": 5 }