diff --git a/notebooks/DCEGM-Upper-Envelope.ipynb b/notebooks/DCEGM-Upper-Envelope.ipynb index ec6a3a26..67b550b5 100644 --- a/notebooks/DCEGM-Upper-Envelope.ipynb +++ b/notebooks/DCEGM-Upper-Envelope.ipynb @@ -61,7 +61,7 @@ "# here for now, should be\n", "# from HARK import discontools or whatever name is chosen\n", "from HARK.interpolation import LinearInterp\n", - "from HARK.dcegm import calcSegments, calcMultilineEnvelope" + "from HARK.dcegm import calcSegments, calcMultilineEnvelope, calcPrimKink" ] }, { @@ -633,7 +633,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -664,8 +664,7 @@ "# avoids NaNs at m \\approx 0.\n", "vTGrid2, willChoice2 = calcLogSumChoiceProbs(np.stack((vT2_cond_wi(mGrid),\n", " vT2_cond_no(mGrid))),\n", - " sigma = 0)\n", - "vGrid2 = vUntransf(vTGrid2)\n", + " sigma = 0)\n", "\n", "# Plot the optimal decision rule\n", "plt.plot(mGrid, willChoice2[0])\n", @@ -674,27 +673,68 @@ "plt.xlabel('Market resources: m')\n", "plt.show()\n", "\n", - "# With the decision rule we can get the unconditional consumption function\n", + "# With the decision rule we can get the unconditional consumption grid\n", "cGrid2 = (willChoice2*np.stack((c2_cond_wi(mGrid),c2_cond_no(mGrid)))).sum(axis=0)\n", "\n", - "vT2 = LinearInterp(mGrid, vTransf(vGrid2), lower_extrap = True)\n", + "# Now find the primary kink point (the point at which the optimal discrete\n", + "# decision changes)\n", + "pKink, segments = calcPrimKink(mGrid, np.stack((vT2_cond_wi(mGrid),\n", + " vT2_cond_no(mGrid))),\n", + " willChoice2)\n", + "\n", + "m_kink = np.array([x[0] for x in pKink])\n", + "v_kink = np.array([x[1] for x in pKink])\n", + "\n", + "# Insert the kink point into the value function grid and create the function.\n", + "idx = np.searchsorted(mGrid, m_kink)\n", + "mGrid_k = np.insert(mGrid, idx, m_kink)\n", + "vTGrid2_k = np.insert(vTGrid2, idx, v_kink)\n", + "\n", + "vT2 = LinearInterp(mGrid_k, vTGrid2_k, lower_extrap = True)\n", "v2 = lambda x: vUntransf(vT2(x))\n", - "c2 = LinearInterp(mGrid, cGrid2)\n", "\n", "# Plot the conditional and unconditional value functions\n", - "plt.plot(mGridPlots, v2_cond_wi(mGridPlots), label = 'Cond. Will')\n", - "plt.plot(mGridPlots, v2_cond_no(mGridPlots), label = 'Cond. No will')\n", - "plt.plot(mGridPlots, v2(mGridPlots), 'k--',label = 'Uncond.')\n", + "mGridPlots_k = np.concatenate([mGridPlots,m_kink])\n", + "mGridPlots_k.sort()\n", + "plt.plot(mGridPlots_k, v2_cond_wi(mGridPlots_k), label = 'Cond. Will')\n", + "plt.plot(mGridPlots_k, v2_cond_no(mGridPlots_k), label = 'Cond. No will')\n", + "plt.plot(mGridPlots_k, v2(mGridPlots_k), 'k--',label = 'Uncond.')\n", + "plt.plot(m_kink, v2(m_kink), 'rX', label = 'Primary kink')\n", "plt.title('Period 2: Value Functions')\n", "plt.xlabel('Market resources')\n", "plt.legend()\n", "plt.show()\n", "\n", - "# Plot the conditional and unconditiional consumption\n", + "# Add kink points to consumption function. Make the discontinuity evident\n", + "add_c = []\n", + "add_m = []\n", + "cond_cfuncs = [c2_cond_wi, c2_cond_no]\n", + "for i in range(len(m_kink)):\n", + " ml = m_kink[i]\n", + " mr = np.nextafter(ml, np.inf)\n", + " # Point to the left of the discontinuity\n", + " add_m.append(ml)\n", + " add_c.append(cond_cfuncs[segments[i,0]](ml))\n", + " # Point to the right of the discontinuitiy\n", + " add_m.append(mr)\n", + " add_c.append(cond_cfuncs[segments[i,1]](mr))\n", + " \n", + "# Add to grids \n", + "idx = np.searchsorted(mGrid, add_m)\n", + "mGrid_k = np.insert(mGrid, idx, add_m)\n", + "cGrid2_k = np.insert(cGrid2, idx, add_c)\n", + "\n", + "# Create function\n", + "c2 = LinearInterp(mGrid_k, cGrid2_k)\n", + "\n", + "# Plot the conditional and unconditional consumption\n", "# functions\n", - "plt.plot(mGridPlotsC, c2_cond_wi(mGridPlotsC), label = 'Cond. Will')\n", - "plt.plot(mGridPlotsC, c2_cond_no(mGridPlotsC), label = 'Cond. No will')\n", - "plt.plot(mGridPlotsC, c2(mGridPlotsC), 'k--',label = 'Uncond.')\n", + "mGridPlotsC_k = np.concatenate([mGridPlotsC,add_m])\n", + "mGridPlotsC_k.sort()\n", + "plt.plot(mGridPlotsC_k, c2_cond_wi(mGridPlotsC_k), label = 'Cond. Will')\n", + "plt.plot(mGridPlotsC_k, c2_cond_no(mGridPlotsC_k), label = 'Cond. No will')\n", + "plt.plot(mGridPlotsC_k, c2(mGridPlotsC_k), 'k--',label = 'Uncond.')\n", + "plt.plot(add_m, c2(add_m), 'rX', label = 'Primary kink')\n", "plt.title('Period 2: Consumption Functions')\n", "plt.xlabel('Market resources')\n", "plt.legend()\n", @@ -731,7 +771,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -797,7 +837,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -825,24 +865,40 @@ "vTGrid1 = vTransf(vGrid1) # The function operates with *transformed* value grids\n", "\n", "rise, fall = calcSegments(mGrid1, vTGrid1)\n", - "mGrid1_up, cGrid1_up, vTGrid1_up = calcMultilineEnvelope(mGrid1, cGrid1,\n", - " vTGrid1, mGrid)\n", - "\n", + "mGrid1_up, cGrid1_up, vTGrid1_up, xings = calcMultilineEnvelope(mGrid1, cGrid1,\n", + " vTGrid1, mGrid,\n", + " findXings = True)\n", "# Create functions\n", "c1_up = LinearInterp(mGrid1_up, cGrid1_up)\n", "v1T_up = LinearInterp(mGrid1_up, vTGrid1_up)\n", "v1_up = lambda x: vUntransf(v1T_up(x))\n", "\n", + "# Extract crossing points\n", + "xing_m = np.array(xings)\n", + "xing_v = v1_up(xings)\n", + "\n", "# Show that there is a non-monothonicity and that the upper envelope fixes it\n", "plt.plot(mGrid1,vGrid1, label = 'EGM Points')\n", "plt.plot(mGridPlots, v1_up(mGridPlots), 'k--', label = 'Upper Envelope')\n", + "plt.plot(xing_m, xing_v, 'rX', label = 'Crossings')\n", + "plt.plot()\n", "plt.title('Period 1: Value function')\n", + "plt.xlabel('Market resources')\n", "plt.legend()\n", "plt.show()\n", "\n", + "# For the consumption function, we want to highlight the sharp discontinuity,\n", + "# so we'll add points to the grid that make it evident.\n", + "add_m_points = np.concatenate([xing_m, np.nextafter(xing_m, np.inf)])\n", + "mGridPlotsC_disc = np.concatenate([mGridPlotsC, add_m_points])\n", + "mGridPlotsC_disc.sort()\n", + "\n", + "# Plot consumption\n", "plt.plot(mGrid1,cGrid1, label = 'EGM Points')\n", - "plt.plot(mGridPlotsC,c1_up(mGridPlotsC),'k--', label = 'Upper Envelope')\n", + "plt.plot(mGridPlotsC_disc,c1_up(mGridPlotsC_disc),'k--', label = 'Upper Envelope')\n", + "plt.plot(add_m_points, c1_up(add_m_points),'rX', label = 'Secondary Kink')\n", "plt.title('Period 1: Consumption function')\n", + "plt.xlabel('Market resources')\n", "plt.legend()\n", "plt.show()" ] diff --git a/notebooks/DCEGM-Upper-Envelope.py b/notebooks/DCEGM-Upper-Envelope.py index bbb09f9e..a5b4ef31 100644 --- a/notebooks/DCEGM-Upper-Envelope.py +++ b/notebooks/DCEGM-Upper-Envelope.py @@ -62,7 +62,7 @@ # here for now, should be # from HARK import discontools or whatever name is chosen from HARK.interpolation import LinearInterp -from HARK.dcegm import calcSegments, calcMultilineEnvelope +from HARK.dcegm import calcSegments, calcMultilineEnvelope, calcPrimKink # %% m_common = np.linspace(0,1.0,100) @@ -373,8 +373,7 @@ # avoids NaNs at m \approx 0. vTGrid2, willChoice2 = calcLogSumChoiceProbs(np.stack((vT2_cond_wi(mGrid), vT2_cond_no(mGrid))), - sigma = 0) -vGrid2 = vUntransf(vTGrid2) + sigma = 0) # Plot the optimal decision rule plt.plot(mGrid, willChoice2[0]) @@ -383,27 +382,68 @@ plt.xlabel('Market resources: m') plt.show() -# With the decision rule we can get the unconditional consumption function +# With the decision rule we can get the unconditional consumption grid cGrid2 = (willChoice2*np.stack((c2_cond_wi(mGrid),c2_cond_no(mGrid)))).sum(axis=0) -vT2 = LinearInterp(mGrid, vTransf(vGrid2), lower_extrap = True) +# Now find the primary kink point (the point at which the optimal discrete +# decision changes) +pKink, segments = calcPrimKink(mGrid, np.stack((vT2_cond_wi(mGrid), + vT2_cond_no(mGrid))), + willChoice2) + +m_kink = np.array([x[0] for x in pKink]) +v_kink = np.array([x[1] for x in pKink]) + +# Insert the kink point into the value function grid and create the function. +idx = np.searchsorted(mGrid, m_kink) +mGrid_k = np.insert(mGrid, idx, m_kink) +vTGrid2_k = np.insert(vTGrid2, idx, v_kink) + +vT2 = LinearInterp(mGrid_k, vTGrid2_k, lower_extrap = True) v2 = lambda x: vUntransf(vT2(x)) -c2 = LinearInterp(mGrid, cGrid2) # Plot the conditional and unconditional value functions -plt.plot(mGridPlots, v2_cond_wi(mGridPlots), label = 'Cond. Will') -plt.plot(mGridPlots, v2_cond_no(mGridPlots), label = 'Cond. No will') -plt.plot(mGridPlots, v2(mGridPlots), 'k--',label = 'Uncond.') +mGridPlots_k = np.concatenate([mGridPlots,m_kink]) +mGridPlots_k.sort() +plt.plot(mGridPlots_k, v2_cond_wi(mGridPlots_k), label = 'Cond. Will') +plt.plot(mGridPlots_k, v2_cond_no(mGridPlots_k), label = 'Cond. No will') +plt.plot(mGridPlots_k, v2(mGridPlots_k), 'k--',label = 'Uncond.') +plt.plot(m_kink, v2(m_kink), 'rX', label = 'Primary kink') plt.title('Period 2: Value Functions') plt.xlabel('Market resources') plt.legend() plt.show() -# Plot the conditional and unconditiional consumption +# Add kink points to consumption function. Make the discontinuity evident +add_c = [] +add_m = [] +cond_cfuncs = [c2_cond_wi, c2_cond_no] +for i in range(len(m_kink)): + ml = m_kink[i] + mr = np.nextafter(ml, np.inf) + # Point to the left of the discontinuity + add_m.append(ml) + add_c.append(cond_cfuncs[segments[i,0]](ml)) + # Point to the right of the discontinuitiy + add_m.append(mr) + add_c.append(cond_cfuncs[segments[i,1]](mr)) + +# Add to grids +idx = np.searchsorted(mGrid, add_m) +mGrid_k = np.insert(mGrid, idx, add_m) +cGrid2_k = np.insert(cGrid2, idx, add_c) + +# Create function +c2 = LinearInterp(mGrid_k, cGrid2_k) + +# Plot the conditional and unconditional consumption # functions -plt.plot(mGridPlotsC, c2_cond_wi(mGridPlotsC), label = 'Cond. Will') -plt.plot(mGridPlotsC, c2_cond_no(mGridPlotsC), label = 'Cond. No will') -plt.plot(mGridPlotsC, c2(mGridPlotsC), 'k--',label = 'Uncond.') +mGridPlotsC_k = np.concatenate([mGridPlotsC,add_m]) +mGridPlotsC_k.sort() +plt.plot(mGridPlotsC_k, c2_cond_wi(mGridPlotsC_k), label = 'Cond. Will') +plt.plot(mGridPlotsC_k, c2_cond_no(mGridPlotsC_k), label = 'Cond. No will') +plt.plot(mGridPlotsC_k, c2(mGridPlotsC_k), 'k--',label = 'Uncond.') +plt.plot(add_m, c2(add_m), 'rX', label = 'Primary kink') plt.title('Period 2: Consumption Functions') plt.xlabel('Market resources') plt.legend() @@ -462,24 +502,40 @@ vTGrid1 = vTransf(vGrid1) # The function operates with *transformed* value grids rise, fall = calcSegments(mGrid1, vTGrid1) -mGrid1_up, cGrid1_up, vTGrid1_up = calcMultilineEnvelope(mGrid1, cGrid1, - vTGrid1, mGrid) - +mGrid1_up, cGrid1_up, vTGrid1_up, xings = calcMultilineEnvelope(mGrid1, cGrid1, + vTGrid1, mGrid, + findXings = True) # Create functions c1_up = LinearInterp(mGrid1_up, cGrid1_up) v1T_up = LinearInterp(mGrid1_up, vTGrid1_up) v1_up = lambda x: vUntransf(v1T_up(x)) +# Extract crossing points +xing_m = np.array(xings) +xing_v = v1_up(xings) + # Show that there is a non-monothonicity and that the upper envelope fixes it plt.plot(mGrid1,vGrid1, label = 'EGM Points') plt.plot(mGridPlots, v1_up(mGridPlots), 'k--', label = 'Upper Envelope') +plt.plot(xing_m, xing_v, 'rX', label = 'Crossings') +plt.plot() plt.title('Period 1: Value function') +plt.xlabel('Market resources') plt.legend() plt.show() +# For the consumption function, we want to highlight the sharp discontinuity, +# so we'll add points to the grid that make it evident. +add_m_points = np.concatenate([xing_m, np.nextafter(xing_m, np.inf)]) +mGridPlotsC_disc = np.concatenate([mGridPlotsC, add_m_points]) +mGridPlotsC_disc.sort() + +# Plot consumption plt.plot(mGrid1,cGrid1, label = 'EGM Points') -plt.plot(mGridPlotsC,c1_up(mGridPlotsC),'k--', label = 'Upper Envelope') +plt.plot(mGridPlotsC_disc,c1_up(mGridPlotsC_disc),'k--', label = 'Upper Envelope') +plt.plot(add_m_points, c1_up(add_m_points),'rX', label = 'Secondary Kink') plt.title('Period 1: Consumption function') +plt.xlabel('Market resources') plt.legend() plt.show()