{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Boltzmann mean field game solver\n", "\n", "We consider the time-dependent BMFG with diffusion on a bounded domain $\\Omega = [0,\\bar{z}]$. The dynamics are given by\n", "\\begin{align*}\n", "&\\partial_t f(z,t) - \\frac{\\sigma^2}{2} \\partial_{zz} f(z,t) = f(z,t) \\int_0^z \\alpha(S(y,t)) f(y,t) dy - \\alpha(S(z,t)) f(z,t) \\int_z^{\\bar{z}} f(y,t) dy\\\\\n", "&\\partial_t V(z,t) - r V(z,t) + \\frac{\\sigma^2}{2} \\partial_{zz} V(z,t) =\n", "(1-S(z,t)) z + \\alpha(S(z,t)) \\int_{z}^{\\infty} \\left[V(y,t) - V(z,t) \\right] f(y,t) dy\\\\\n", "&S(z,t) = \\text{argmin}_{s\\in\\mathcal{S}} \\left[(1-S(z,t)) z + \\alpha(S(z,t)) \\int_{z}^{\\infty} \\left[V(y,t) - V(z,t) \\right] f(y,t) dy\\right]\n", "\\end{align*}\n", "with initial condition $f(z,0) = f_0(z)$ and terminal condition $V(z,T) = 0$. \n", "\n", "We solve the system using a fixed point iteration:\n", "
    \n", "
  1. Solve the Boltzmann type equation for given $\\alpha_k$ forward in time.
  2. \n", "
  3. Solve the HJP for the updated $f_{k+1}$ backward in time to obtain $v_{k+1}$ and the corresponding fraction of time spent on learning $S^{k+1}$.
  4. \n", "
  5. Repeat until convergence (hopefully).
  6. \n", "
\n", "\n", "References:\n", "
    \n", "
  1. R. Lucas and B. Moll, {\\em Knowledge growth and allocation of time} Journal of Political Economy, 122(1), 2014.
  2. \n", "
  3. Y. Achdou, F. J. Buera, J.-M. Lasry, P.-L. Lions, and B. Moll. {\\em Partial differential equation models inmacroeconomics}.Philosophical Transactions of the Royal Society of London A: Mathematical, Physicaland Engineering Sciences, 372(2028), 2014
  4. \n", "
" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "import scipy as sc\n", "import scipy.sparse as sparse\n", "import scipy.sparse.linalg\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### FD discretization of the Boltzmann type and HJB equation\n", "We define the system matrizes for the PDE solvers - we use a semi-implicit in time discretization. The diffusion is treated implicitely (as well as the temporal decay term in the HJB), while the rhs of the PDEs are computed using the previous iterate in time. Note that it would be better to implement geometric diffusion, as suggested by Lucas&Moll and Lorz et al. All integrals are computed using a trapezoidal rule." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def SetupMatricesDiff(x,npoints,dx,dt,r,sig):\n", " e = np.ones(npoints)\n", " m = sparse.identity(npoints)\n", "\n", " data1 = np.stack((e,-2.0 * e,e))\n", " data1[2,1] = 2.0\n", " data1[0,npoints-2] = 2.0\n", " diags1 = [-1,0,1]\n", " diffusion = sparse.spdiags(data1,diags1,npoints,npoints)\n", "\n", " prefac1 = sig**2 * dt/(dx**2)\n", " sys1 = m - prefac1 * diffusion\n", " sys2 = (1 + dt * r) * m - prefac1 * diffusion\n", " return sys1, sys2\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ " def SolveBoltzmann(ntsteps, x, dx, dt, fold, alphaold, sys1):\n", "\n", " f = np.zeros(x.size)\n", " b = np.zeros(x.size)\n", " \n", " it = 0\n", " fsave = []\n", " fsave.append(fold[0,:])\n", " \n", " f = fold[0,:]\n", " for time in np.arange(ntsteps):\n", " alpha = alphaold[it,:]\n", " help1 = sc.integrate.cumtrapz(alpha[:] * f[:], x, initial=0)\n", " help2 = np.flip(sc.integrate.cumtrapz(np.flip(f,axis=0),x,initial=0), axis=0)\n", " b[:] = f[:] + dt * (-alpha[:] * f[:] * help2[:] + f[:] * help1[:])\n", " f = np.transpose(np.mat( sparse.linalg.spsolve( sys1, b )))\n", " f = f.getA1()\n", " \n", " fsave.append(f)\n", " it = it + 1\n", "\n", " freturn = np.asarray(fsave)\n", " \n", " return freturn" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ " def SolveHJB(ntsteps, x, dx, dt, fold, vold, sold, alphaold, alpha0, n, sys2):\n", "\n", " it = 1\n", " power = 1.0/(n-1.0)\n", " prefac = alpha0 * n\n", "\n", " f = np.zeros(x.size)\n", " K = np.zeros(x.size)\n", " rhs = np.zeros(x.size)\n", " b = np.zeros(x.size)\n", " \n", " v = vold[ntsteps-1,:]\n", " vsave = []\n", " ssave = []\n", " alphasave = []\n", "\n", " vsave.append(vold[ntsteps-1,:])\n", " ssave.append(sold[ntsteps-1,:])\n", " alphasave.append(alphaold[ntsteps-1,:])\n", "\n", " for time in np.arange(ntsteps):\n", " \n", " f = fold[ntsteps-it,:]\n", " alpha = alphaold[ntsteps-it,:]\n", " s = sold[ntsteps-it,:]\n", "\n", " help1 = np.flip(sc.integrate.cumtrapz(np.flip(f[:] * v[:],axis=0), x, initial=0),axis=0)\n", " fback = np.flip(f, axis=0)\n", " help2 = np.flip(sc.integrate.cumtrapz(fback,x,initial=0),axis=0)\n", " K[:] = help1[:] - v[:] * help2[:]\n", " rhs[:] = (1.0-s[:]) * x[:] + alpha[:] * K[:]\n", " b = v + dt * rhs\n", " v = sparse.linalg.spsolve( sys2, b )\n", " vsave.append(v)\n", " \n", " it = it+1\n", " f = fold[ntsteps-it,:]\n", " \n", " help3 = np.flip(v[:] * f[:], axis=0)\n", " help4 = np.flip(sc.integrate.cumtrapz(help3,x,initial=0),axis=0)\n", " help5 = np.flip(f[:],axis=0)\n", " help6 = np.flip(sc.integrate.cumtrapz(help5, x, initial=0),axis=0)\n", " K[:] = help4[:] - v[:] * help6[:]\n", "\n", " s = (x[:]/(prefac * K[:]))** power\n", " where_are_NaNs = np.isnan(s)\n", " s[where_are_NaNs] = 0.0\n", " s[0] = 1.0\n", " s[s > 1.0] = 1.0\n", " ssave.append(s)\n", " \n", " alphaval = alpha0 * s[:] ** n\n", " where_are_NaNs = np.isnan(alphaval)\n", " alphaval[where_are_NaNs] = 0.0\n", " alphaval[0] = 1.0\n", " alphasave.append(alphaval)\n", " \n", " vreturn = np.flipud(np.asarray(vsave))\n", " sreturn = np.flipud(np.asarray(ssave))\n", " areturn = np.flipud(np.asarray(alphasave))\n", " return vreturn, sreturn, areturn" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial mass = 0.250662827214\n" ] } ], "source": [ "# Problem parameters \n", "npoints = 1000\n", "x = np.linspace(0.0,5.0,num=npoints)\n", "T = 10.0\n", "ntsteps = 2000\n", "dt = T/ntsteps\n", "dx = 1.0/npoints\n", "lam = dt/dx\n", "\n", "r = 0.05\n", "sigma = 0.1\n", "n = 0.4\n", "alpha0 = 0.05\n", "\n", "[sys1, sys2] = SetupMatricesDiff(x, npoints, dx, dt, r, sigma)\n", "siginit = 0.02\n", "finit = np.exp(-(x-0.6)**2/siginit)\n", "fnew = np.zeros((ntsteps+1, npoints))\n", "vnew = np.zeros((ntsteps+1, npoints))\n", "snew = np.zeros((ntsteps+1, npoints))\n", "alphanew = np.zeros((ntsteps+1, npoints))\n", "sold = np.zeros((ntsteps+1, npoints))\n", "alphaold = np.zeros((ntsteps+1, npoints))\n", "fold = np.zeros((ntsteps+1, npoints))\n", "vold = np.zeros((ntsteps+1, npoints))\n", "fold[0,:] = finit\n", "\n", "maxiter = 10\n", "plotevery=50\n", "\n", "print(\"initial mass =\", np.trapz(finit,x))\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:46: RuntimeWarning: divide by zero encountered in true_divide\n", "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:46: RuntimeWarning: divide by zero encountered in power\n", "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:46: RuntimeWarning: overflow encountered in true_divide\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Fixed point iteration stopped after 9 iteration with an error of 7.57213329709e-05\n", "final mass = 0.250661772959\n" ] }, { "data": { "image/png": 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6KnN4rEUtMmzsvzilFnp6Q49HZJ6VEEIIcd4kWK0yj4/PX9RSCz27u0OPMhwohBBCnD8J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CYmJk6BVKP5nEr5EdXaS2y7B8gEg0tEI3cIh29T917leVPlUaXJo2qD9y0BO7okcS3k407Yz92w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jeJM1HmM7pe5xwmKR0K/Td3yeNE3beHZKKXV+dFy4Q3ZRdTqKz+yjak2Mbxy1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\n94S/wQeKv8zqnQ9R3/ZJ7hg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Fixed point iteration\n", "\n", "for it1 in np.arange(maxiter):\n", "\n", " fnew = SolveBoltzmann(ntsteps, x, dx, dt, fold, alphanew, sys1)\n", " [vnew, snew, alphanew] = SolveHJB(ntsteps, x, dx, dt, fnew, vold, sold, alphaold, alpha0, n, sys2)\n", " \n", " errorf = np.linalg.norm(fold-fnew)\n", " errorv = np.linalg.norm(vold-vnew)\n", " error = dt * dx * (errorf + errorv) \n", "\n", " fold = fnew\n", " vold = vnew\n", " sold = snew\n", " alphaold = alphanew\n", "\n", " if error < 1e-6:\n", " break\n", " \n", "print(\"Fixed point iteration stopped after \", it1, \" iteration with an error of \", error)\n", "print(\"final mass = \", np.trapz(fnew[ntsteps-1,:],x))\n", "\n", "f, axarr = plt.subplots(3, sharex=True, figsize=(10,10))\n", "axarr[0].plot(x, fnew.T[:,1:ntsteps-1:plotevery])\n", "axarr[1].plot(x, vnew.T[:,1:ntsteps-1:plotevery])\n", "axarr[2].plot(x, snew.T[:,1:ntsteps-1:plotevery])\n", "\n", "plt.figure(2)\n", "plt.plot(x[1:100],snew.T[1:100,1:ntsteps-1:plotevery])\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }