diff --git a/CompareIncomeDist.ipynb b/CompareIncomeDist.ipynb index 7f91a6a..cb7da69 100644 --- a/CompareIncomeDist.ipynb +++ b/CompareIncomeDist.ipynb @@ -5,16 +5,14 @@ "id": "1afb4980", "metadata": {}, "source": [ - "# Using Inverse Optimal Tax Theory to Reveal Preferences of Political Candidates\n", + "# Comparing Income Distribution Estimates\n", "\n", - "This notebook uses Inverse Optimal Tax Theory to determine the generalized social welfare weights associated with the tax policy proposals of candidates for President of the United States from 2012-2020.\n", - "\n", - "## Step 1: Import necessary Python modules" + "This notebook estimates the income distribution using various distributional assumptions, and compares the resulting estimates." ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "id": "16ed9b3c", "metadata": {}, "outputs": [ @@ -22,7 +20,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/2m/db9b_l2950xckts1f65_rc2m0000gn/T/ipykernel_54033/831081070.py:5: DeprecationWarning: Importing display from IPython.core.display is deprecated since IPython 7.14, please import from IPython display\n", + "/var/folders/2m/db9b_l2950xckts1f65_rc2m0000gn/T/ipykernel_99466/1679099148.py:3: DeprecationWarning: Importing display from IPython.core.display is deprecated since IPython 7.14, please import from IPython display\n", " from IPython.core.display import display, HTML\n" ] }, @@ -53,485161 +51,23 @@ ], "source": [ "# imports\n", - "from iot.iot_user import iot_comparison\n", - "import taxcalc as tc\n", - "import copy\n", + "\n", "from IPython.core.display import display, HTML\n", "from plotly.offline import init_notebook_mode, plot\n", "import plotly.express as px\n", - "init_notebook_mode(connected=True)" - ] - }, - { - "cell_type": "markdown", - "id": "19d2ed28", - "metadata": {}, - "source": [ - "# Step 2: Give paths/urls to JSON files representing candidates' policy proposals\n", - "\n", - "We put these paths in a dictionary along with the year that is relevant for the policy proposals and what the current law baseline policy was at the time." - ] - }, - { - "cell_type": "code", - "execution_count": 222, - "id": "093d86ac", - "metadata": {}, - "outputs": [], - "source": [ - "obama2015_path = \"https://raw.githubusercontent.com/jdebacker/examples/pres_proposals/psl_examples/taxcalc/Obama2015.json\"\n", - "romney2012_path = \"https://raw.githubusercontent.com/jdebacker/examples/pres_proposals/psl_examples/taxcalc/Romney2012.json\"\n", - "clinton2016_path = \"https://raw.githubusercontent.com/jdebacker/examples/pres_proposals/psl_examples/taxcalc/Clinton2016.json\"\n", - "trump2016_path = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/Trump2016.json\"\n", - "biden2020_path = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/Biden2020.json\"\n", - "trump2020_path = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/TCJA.json\"\n", - "\n", - "pre_2020_baseline = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/2017_law.json\"\n", - "baseline_2020 = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/TCJA.json\"\n", - "\n", - "\n", - "candidate_dict = {\n", - " \"Obama 2015\": {\"policy_path\": obama2015_path, \"baseline_path\": pre_2020_baseline, \"start_year\": 2016},\n", - " \"Romney 2012\": {\"policy_path\": romney2012_path, \"baseline_path\": pre_2020_baseline, \"start_year\": 2014}, # can't use year before 2014 with CPS file\n", - " \"Clinton 2016\": {\"policy_path\": clinton2016_path, \"baseline_path\": pre_2020_baseline, \"start_year\": 2017},\n", - " \"Trump 2016\": {\"policy_path\": trump2016_path, \"baseline_path\": pre_2020_baseline, \"start_year\": 2017},\n", - " \"Biden 2020\": {\"policy_path\": biden2020_path, \"baseline_path\": baseline_2020, \"start_year\": 2022},\n", - " \"Trump 2020\": {\"policy_path\": trump2020_path, \"baseline_path\": baseline_2020, \"start_year\": 2022}}\n", - "\n", - "# Add to the candidate dictionary the Policy objects representing the baseline for each candidate\n", - "base_2017 = tc.Policy()\n", - "base_2017_ref = tc.Policy.read_json_reform(pre_2020_baseline)\n", - "base_2017.implement_reform(base_2017_ref, print_warnings=False, raise_errors=False)\n", - "\n", - "base_2020 = copy.deepcopy(base_2017)\n", - "tcja = tc.Policy.read_json_reform(baseline_2020)\n", - "base_2020.implement_reform(tcja, print_warnings=False, raise_errors=False)\n", - "\n", - "candidate_dict[\"Obama 2015\"][\"baseline\"] = base_2017\n", - "candidate_dict[\"Romney 2012\"][\"baseline\"] = base_2017\n", - "candidate_dict[\"Clinton 2016\"][\"baseline\"] = base_2017\n", - "candidate_dict[\"Trump 2016\"][\"baseline\"] = base_2017\n", - "candidate_dict[\"Biden 2020\"][\"baseline\"] = base_2020\n", - "candidate_dict[\"Trump 2020\"][\"baseline\"] = base_2017" - ] - }, - { - "cell_type": "markdown", - "id": "e36798a9", - "metadata": {}, - "source": [ - "## Step 3: Instantiate an `iot_comparison` class object\n", - "\n", - "Here, we create an `iot_comparison` class object with lists representing all the candidates included in the dictionary defined above." - ] - }, - { - "cell_type": "code", - "execution_count": 223, - "id": "45ea24da", - "metadata": {}, - "outputs": [], - "source": [ - "income_measure = \"expanded_income\"\n", - "iot1 = iot_comparison(\n", - " years=[d['start_year'] for d in list(candidate_dict.values())],\n", - " baseline_policies=[[d['baseline_path']] for d in list(candidate_dict.values())],\n", - " policies=[d['policy_path'] for d in list(candidate_dict.values())],\n", - " labels=list(candidate_dict.keys()),\n", - " data=\"CPS\",\n", - " compare_default=False,\n", - " mtr_wrt=\"e00200p\",\n", - " income_measure=income_measure,\n", - " weight_var=\"s006\",\n", - " eti=0.25,\n", - " dist_type=\"log_normal\"\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 224, - "id": "3c69a171", - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.plotly.v1+json": { - "config": { - "plotlyServerURL": "https://plot.ly" - }, - "data": [ - { - "hovertemplate": "Expanded Income=%{x:$,.2f}
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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "iot1.SaezFig2()" - ] - }, - { - "cell_type": "markdown", - "id": "3b4bdbe5", - "metadata": {}, - "source": [ - "## Analyze the performance of the income density estimates" + "init_notebook_mode(connected=True)\n", + "from iot.generate_data import gen_microdata\n", + "from iot.inverse_optimal_tax import IOT\n", + "import numpy as np" ] }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "id": "9b7c81a3", "metadata": {}, "outputs": [], "source": [ - "from iot.generate_data import gen_microdata\n", - "from iot.inverse_optimal_tax import IOT\n", - "import numpy as np\n", "# get data\n", "data = gen_microdata()\n", "data = data[data[\"expanded_income\"] > 0]" @@ -485229,17 +89,17 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 4, "id": "e7dc7302", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 7, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, @@ -485275,17 +135,17 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 5, "id": "7a0b71a4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 10, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, @@ -485310,23 +170,23 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 6, "id": "e90ef79d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 12, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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45eTkKDY21upyAABADdTm8zuo5twAAACcDuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYCuEGAADYSuiGmyM/WF0BAABoBKEbbra9b3UFAACgEYRuuAkErK4AAAA0gtANN4bf6goAAEAjCN1wE/BZXQEAAGgEIRxuGJYCAMCOQjfcMCwFAIAthW64YVgKAABbCuFww7AUAAB2FMLhhp4bAADsKHTDjUHPDQAAdhTC4YYJxQAA2FHohhuGpQAAsKXQDTf03AAAYEuhG24ChBsAAOwohMMNE4oBALCj0A03DEsBAGBLoRtumFAMAIAthXC4oecGAAA7ItwAAABbCd1wwxWKAQCwpdANN/TcAABgS6EbbgwmFAMAYEchHG7ouQEAwI5CN9wwLAUAgC2FcLhhQjEAAHYUuuGGYSkAAGwpdMMNVygGAMCWLA03K1eu1OjRo5WcnCyHw6FFixbV+L2rVq2S2+3W2WefXbedM+cGAABbsjTcFBQUqG/fvpozZ06t3pedna1x48bp4osvrvvOCTcAANiS28qdjxw5UiNHjqz1+377299q7Nixcrlcp+3tKSkpUUlJSeVybm6u+YQ5NwAA2FLQzbmZO3euMjIy9MADD9Ro/RkzZiguLq7ykZKSYr7A2VIAANhSUIWbrVu36t5779U//vEPud0163SaOnWqcnJyKh87d+40XzDKGrFSAABgFUuHpWrD7/dr7Nixmj59urp27Vrj93m9Xnm93pNskLOlAACwo6AJN3l5eVqzZo3WrVunW2+9VZIUCARkGIbcbrfef/99XXTRRTXfoL+0kSoFAABWCppwExsbq++++65K2zPPPKOPP/5Y//73v9WhQ4fabZDr3AAAYEuWhpv8/Hxt27atcjkzM1Pp6elKSEhQu3btNHXqVO3evVuvvvqqnE6nevfuXeX9rVq1Unh4+AntNeJnzg0AAHZkabhZs2aNhg0bVrk8ZcoUSdL48eM1b9487d27Vzt27GicnTMsBQCALTkMwzCsLqIp5ebmKi4uTjn3xil2RrbV5QAAgBqo/PzOyVFsbGy16wbVqeANK8BVigEAsKEQDjdi3g0AADYU4uGGeTcAANhNncLNxIkT9corr5zQnpubq4kTJ9a7qCZDzw0AALZTp3Azb948TZo0SbfddpsCx9yjqaio6KSh54xFzw0AALZT52Gpd955R0uXLtWIESOUlZXVkDU1nQA9NwAA2E2dw03Pnj315ZdfqqysTAMGDNDGjRsbsq6mwbAUAAC2U6dw43A4JEnNmzfXhx9+qCFDhmjgwIFavHhxgxbX6BiWAgDAdup0heJjr/vndrv14osvqmfPnpo0aVKDFdYkCDcAANhOncLN8uXLlZCQUKVtypQp6tOnj1atWtUghTUJPzfPBADAbuoUboYMGXLS9uHDh2v48OGVy7GxsUpPT1fHjh3rVl1jo+cGAADbadSL+J3xt60i3AAAYDshfoVizpYCAMBuQjvccJ0bAABsJ7TDDcNSAADYTqOGm4rr4ZyxfIQbAADsJsQnFJdYXQEAAGhgdToVfMqUKSdtdzgcCg8PV5cuXXTZZZfp3XffVZs2bepVYKMqK7K6AgAA0MDqFG7WrVunr7/+Wn6/X926dZMkbdmyRS6XS927d9czzzyjKVOm6NNPP5XX623QghuUr9jqCgAAQAOr07DU5ZdfruHDh2vPnj1au3at1q5dq127dumSSy7Rddddp927d+vCCy88ZQ/PGYNwAwCA7TiMOkyMadOmjT744AP17NmzSvv333+vn/70p9q9e7e+/vpr/fSnP9WhQ4carNiGkJubq7i4OOXcG6PY4fdIF99vdUkAAOA0Kj+/c3IUGxtb7bp16rnJycnRgQMHTmg/ePCgcnNzJUnx8fEqLT3Dz0ai5wYAANup87DUxIkTtXDhQu3atUu7du3SwoUL9Zvf/EZjxoyRJH311Vfq2rVrQ9ba8JhQDACA7dRpQvHzzz+vO++8U7/85S/l85l31na73Ro/frz++te/SpK6d++uF198seEqbQz03AAAYDt1mnNTIT8/XxkZGZKkjh07Kjo6usEKayxV5tz0+4V09VyrSwIAAKdRmzk3deq5qRAdHa0+ffrUZxPWoucGAADbCe17SzHnBgAA2wntcEPPDQAAthPa4YaeGwAAbCe0w42PG2cCAGA3IR5u6LkBAMBuQjvclDHnBgAAuwntcEPPDQAAthPa4YaeGwAAbCe0w42/RPL7rK4CAAA0oNAON5JUVmB1BQAAoAGFbLgpM1zmk5J8awsBAAANKmTDTYG85pNSwg0AAHYSwuEmwnxCuAEAwFZCNtwUGR7zCcNSAADYSsiGG3puAACwp5ANN4UVPTelnC0FAICdhGy4qey5KcmzthAAANCgQjjccLYUAAB2FLLhpsgIN58wLAUAgK2EbLg5OixFzw0AAHYSsuHm6IRi5twAAGAnIRtujp4KzrAUAAB2EsLhpnxCMcNSAADYSsiGm3wj0nxSnGNtIQAAoEGFbLjJFeEGAAA7Ctlwk1PZc5NtaR0AAKBhhWy4yavouSnKtrQOAADQsEI23ORW9Nz4iiRfibXFAACABhOy4SZfkQrIYS7QewMAgG2EbLgx5FShg3k3AADYTciGG0nKVbT5hJ4bAABsI8TDTZT5hJ4bAABsI6TDTbZRHm7ouQEAwDZCOtwcCTDnBgAAuwnpcJMd4Fo3AADYTciGmzCXU9mKMReKjlhbDAAAaDAhG25iw906bMSaCwWHrC0GAAA0mNANNxHHhpuD1hYDAAAaTOiGm/AwHRY9NwAA2E3ohht6bgAAsKXQDTfhYTpkxJkLhYekQMDaggAAQIMI2XATFxGmrIqzpYyAVJRlbUEAAKBBWBpuVq5cqdGjRys5OVkOh0OLFi2qdv233npLl1xyiVq2bKnY2FgNHDhQ7733Xp32HRsepjK5VegqDziFzLsBAMAOLA03BQUF6tu3r+bMmVOj9VeuXKlLLrlES5cu1dq1azVs2DCNHj1a69atq/W+YyLckqQ8V3x5Mcy7AQDADtxW7nzkyJEaOXJkjdd/4oknqiw/8sgj+u9//6u3335baWlptdp3bHiYJCnLEa9E7STcAABgE5aGm/oKBALKy8tTQkLCKdcpKSlRSUlJ5XJubq4kKSHaI0k6FCgflson3AAAYAdBPaF41qxZys/P1zXXXHPKdWbMmKG4uLjKR0pKiiSpeZQZbvb6y08Hz9/X6PUCAIDGF7Th5p///KemT5+uN954Q61atTrlelOnTlVOTk7lY+fOnZKk5lFeSdKPpeWng+fubfSaAQBA4wvKYakFCxboxhtv1Jtvvqnhw4dXu67X65XX6z2hvWJYanegfEgrd3eD1wkAAJpe0PXcvP766/r1r3+t119/XZdeemmdt+N1uxQXEaZ9Kg83efTcAABgB5b23OTn52vbtm2Vy5mZmUpPT1dCQoLatWunqVOnavfu3Xr11VclmUNR48eP15NPPqnzzjtP+/aZ82QiIiIUFxdX6/23iPZof3EzcyF3T/2/IQAAYDlLe27WrFmjtLS0ytO4p0yZorS0NE2bNk2StHfvXu3YsaNy/b///e/y+XyaPHmykpKSKh+33357nfbfItqrfUZ5z01pvlScW79vCAAAWM7SnpuhQ4fKMIxTvj5v3rwqyytWrGjQ/beI8apQ4SpxR8vryzeHpsJjG3QfAACgaQXdnJuG1DLanGicF9bSbGBSMQAAQS+0w02MGW4OO1uYDcy7AQAg6IV0uGkTHyFJ2m2Uh5vsnRZWAwAAGkJIh5vk8nCztaw83GT9YF0xAACgQYR4uAmXJG0oKj9jinADAEDQC+lwkxgbLqdDyvCXTygm3AAAEPRCOtyEuZxKjA3XDqP83lT5+6TSQmuLAgAA9RLS4UYy593kKEplYTFmQ/aP1hYEAADqhXATHyHJoZzwNmYDQ1MAAAQ1wk35pOIDrtZmA+EGAICgFvLhpn1ClCTph0D5vBvCDQAAQS3kw02HFma42Vjc3Gw4vN3CagAAQH2FfLjp2NIMN18VlPfcHNxsYTUAAKC+Qj7ctIrxKtLj0mZ/stmQs0Mqybe2KAAAUGchH24cDoc6tIhStmJUEl5+G4ZD9N4AABCsQj7cSEfn3RwO72A2MDQFAEDQItxI6lgebn5wppgNBzZaWA0AAKgPwo2kLonm1Ym/LU0yG+i5AQAgaBFuJPVMjpUkrcopPx38ID03AAAEK8KNpNTmUYoIc2l9WfkZU9mcMQUAQLAi3EhyOR3q1jpGWYpVsbf8jCnm3QAAEJQIN+UqhqZ2R3Q1G/amW1cMAACoM8JNuZ5JZrhZHyg/HXzvNxZWAwAA6opwU65HebhZVdDGbKDnBgCAoES4Kde9dYwcjmPCzYGNUlmxtUUBAIBaI9yUi/K61S0xRrvVQiXeBCngY2gKAIAgRLg5xjntm0lyKDPiLLNhx+eW1gMAAGqPcHMMM9xIq31dzIYdX1hYDQAAqAvCzTH6t0+QJL2dnWo27PhCCgSsKwgAANQa4eYYKQkRahnj1be+dvK7IqTibOngJqvLAgAAtUC4OYbD4dD5nZrLJ7d2RfUyG3estrYoAABQK4Sb41zQ2bz9wudl5VcqZt4NAABBhXBznMFdWkqS3slpbzbQcwMAQFAh3ByndVy4urSK1teBLgo4XFLOTil7p9VlAQCAGiLcnMQFXVqoUOHaHV4+NJW50tqCAABAjRFuTmJIV3No6v2S8knF2z+ysBoAAFAbhJuTOL9TC8WEu7W0qCLcfCwF/NYWBQAAaoRwcxIet1OX9ExUutFZxa5oqShL2rPO6rIAAEANEG5O4dKzkuSXS58Z5feZ2vyutQUBAIAaIdycwgVdWijG69bbxWlmw+al1hYEAABqhHBzCl63S5f0TNSKwNkKyCUd2CAdybS6LAAAcBqEm2qMOitJOYrWWkdPs2Hj29YWBAAATotwU40Lu7ZUs8gwLSo912z4/i1rCwIAAKdFuKmGx+3UL/q11bv+AQrIaZ4xdSTD6rIAAEA1CDenMWFQqnKccVrlLx+aWv8fawsCAADVItycRttmkfp5nyQt9F9gNqybLwUC1hYFAABOiXBTAzdf2FHvBgYoz4iQsjKlH1dZXRIAADgFwk0N9EqO0zmd2+pt/0CzYd1r1hYEAABOiXBTQzdf2FFv+IdKkowN/5WKsi2tBwAAnBzhpoYGd2mhksQ0bQ60lcNXLH33ptUlAQCAkyDc1JDD4dAtQzrpX/5hkqTAl88zsRgAgDMQ4aYWLu2TpJVRI5RrRMh5eKu0ZZnVJQEAgOMQbmohzOXUr4b01j/9wyVJvs+etLgiAABwPMJNLY09r70+ir1CpYZL7l1fSDu/srokAABwDMJNLXncTv3usgu0qPyifgXLZ1tcEQAAOBbhpg6GdWuldSk3SJIiMpbJOLjZ4ooAAEAFwk0dOBwO3XTlSH0YOEdOGdr773utLgkAAJQj3NRRx5bROjDgXvkMp5L3f6xD375vdUkAAECEm3q5ZuRwvRd5qSSpcPE9CvjKLK4IAAAQburB7XLqrLEzlG1EqZ3vB61643GrSwIAIOQRbuqpXUqKtvX8vSSp1+antW5zpsUVAQAQ2gg3DeCcX9ylvZ72SnDka+O//k/7c4utLgkAgJBFuGkADrdHza6YJUm62v+uHnx5oYpK/RZXBQBAaCLcNJDwHj9VYepwhTn8mnDkCd32zzUq9XFjTQAAmhrhpgFFXvYX+d1ROs+5Sb22Padb//k1AQcAgCZGuGlICR3lusy8meZtroXK2/SxJs3/WiU+hqgAAGgqhJuG1udqKe1XcjoMPRn2jNZt3KJJ/yDgAADQVAg3jWHkY1KLbmrlyNJfPc/p40379NvX1qq4jIADAEBjI9w0Bk+UdPU8yR2uC53faJJnqZZvPqhbCDgAADQ6S8PNypUrNXr0aCUnJ8vhcGjRokWnfc+KFSvUr18/eb1ede7cWfPmzWv0Ousksaf0s5mSpLtcb+gnYdv0yZaDmjD3K2UVlFpcHAAA9mVpuCkoKFDfvn01Z86cGq2fmZmpSy+9VMOGDVN6erruuOMO3XjjjXrvvfcaudI6OmeC1OsKOQ2fXo1+Wp09R/RFxhGN/ttnWr87x+rqAACwJYdhGIbVRUiSw+HQwoULNWbMmFOu88c//lHvvPOO1q9fX9n2y1/+UtnZ2Vq2bFmN9pObm6u4uDjl5OQoNja2vmWfXnGu9PLPpAPfq6RZV11RPE0bspzyup2a+YuzdEVa28avAQCAIFebz++gmnOzevVqDR8+vErbiBEjtHr16lO+p6SkRLm5uVUeTSo8Vrr+DSkmSd6sLVqc8JRGdIlWiS+gO//1jaa+9a0KS31NWxMAAHVhGFJRtnR4u7Tzf9LmZdK6+dKqJ6UH48zHe/dZXaXcVhdQG/v27VNiYmKVtsTEROXm5qqoqEgREREnvGfGjBmaPn16U5V4cnFtpV/9R5o7Uu7dX+m5djP19JBH9NeVe/T6Vzv1RcYR/fXas3V2Sry1dQIAQktpobTvW0kOaecXUlRLqThHKjx8zONI1eXAaf4gX/03acSfm6T8UwmqcFMXU6dO1ZQpUyqXc3NzlZKS0vSFJPaSfrVQem2MHDs+122aqgHjntOdi7Yr81CBfvHs57ppcEfdMbyLwsNcTV8fACD4BQJSUZZUcLD8cUAqOHTM8iFp05L678cTLUUmSJHNzUdEgvTdG+Zr1y2o//brKajCTevWrbV///4qbfv371dsbOxJe20kyev1yuv1NkV5p9f2HOmGRdJrV0g7Vusnxi1adst83f/eTi3+Zo+e+2S73vluj+6/tKcu6Zkoh8NhdcUAAKuVFh4TTg5WDSoFB6X8YwJM4WHJqMclR7xxUueLpMgWR4PLsSEmqoUZZMLCT3zvL16o+34bWFCFm4EDB2rp0qVV2j744AMNHDjQoorqoO050rhF0mtjpJ1fKO5fl+upsW/o532SNO2/32vnkSLd/NpaXdi1pR4Y3VOdWkZbXTEAoCEF/GYIOT6kVDzyjwswZQW130dEM3OIKaqlGUiiWh19HtFM+vhP0jnjpb5jzTab/TFt6dlS+fn52rZtmyQpLS1Ns2fP1rBhw5SQkKB27dpp6tSp2r17t1599VVJ5qngvXv31uTJkzVx4kR9/PHHuu222/TOO+9oxIgRNdpnk58tdSr7vpP+8Qspf78UkySN/ZcKEnrpb8u36cVPM1TmNxTmcuj689rr1os6q0X0GdL7BACoyjCk0vyaBZWK3hXV8qPX5ZWiWx0TWCpCyzHPK16PbC65whrlW7VSbT6/LQ03K1as0LBhw05oHz9+vObNm6cJEybohx9+0IoVK6q8584779SGDRvUtm1b3X///ZowYUKN93nGhBtJyvpR+uc10sFNUliUdMWzUs/LlXmoQA+9/b2Wbz4oSYr0uDTh/FTdOLijEqI81tYMAKHAX3Zi70r+gZMEmPLnvqJa7sBRPsxzfEhpKUWfJMB4om3Xu1JbQRNurHBGhRvJPKXuzQlSxnJz+SeTpeEPSm6PPtt6SI+9t0nf7jIv+Bfpcen689pp4gUdlBR38jlGAICTMAypJPe4eSonCyrl7UVZtd9HWNSpe1OODzERCZIrqGaGWI5wU40zLtxIkt8nffiAefqcJCWdLV31stS8kwzD0Psb9uvpj7dq/W7zGj1hLodG903Wby7ooF7JcdbVDQBW8vukw9vMPw6X3Vv1tb5jTzxbyF/LW984nObE2lP1phw/ROSJarjvDScg3FTjjAw3FTYtlf47yfyLwRMtjZol9f2l5HDIMAyt2HxQz32yXV9mHql8S7928bphYHuN7J3EKeQAgl/Ab/4OzPpB+nGV9PnTZjBpKJ6YaoLKsRNvW5oTb51Bda1bWyPcVOOMDjeSlLNbeusm8z+1JHW7VLr0cSk2qXKV9J3ZeuHTDL23fp98AfPHFxcRpsv6Juuqc9qqT9s4TiMHcGYpyZO+flVyh0sHN0tGQPpfI546PPzBqmcIVXwNY0g/WBFuqnHGhxvJ/Mvls9nSikelQJnZ1uMy6ep5kvNo78yBvGL966udWvC/ndqdfXQyW1JcuH7Wu7VG901Wv3bNmrh4ACHDXyZt/UDavVb6dJb5x9jmd05cLyyqbqczn0q3UdLZY6XE3lJ8uyq/F2FfhJtqBEW4qbD/e+nZ848utz5L+tmjUuqgKqv5A4ZWbz+sN9bs1LL1+1TqD1S+lto8Upef3UY/7ZWonkmx9OgAOL2sH6UN/5W2f3z0ZId2A6Udp76PX4MYcIvU9lyp1xVMtsUJCDfVCKpwI5kT5t6+Xfp+4dG/fLqNMrtcW3Y7YfXswlItW79P97713QmvJceFa2j3Vrq4eyud17G5or388gBCRsAv7fxS+vYNKaa1tGJG0+z32vlSYk9ziMjLRUlRd4SbagRduKlQcEha/mdp7SvmpbUdTqnPL6UL75aadzrpW7IKSvXxpgNa9v0+fbLloEp9R3t0wlwOpaU0U+fEaF3eN1l9U+KZkAwEo7Iiadf/zOGhhI7SkjsaZz8tukmHNkudh5vzZmKTpa4jpI4XMekWTYJwU42gDTcVDm6RPpp+9MZnDqfU+yrpgjvNv45OoajUry8yD+vDDfv16dZD2nGksMrrXrdTfVPidU77ZuqZFKvBXVooPpILBgKWMAzz6uWZn0pr5x49waAxtT3XvPZLrzFS/4lSfPuQv2ic3RiGIYfDoRKfX/6AoaJSv4p9ARmGoeKygLIKS9W2WYRKfQH5A4YChqEdRwr12dbDWr75gC7s0kKvrP5RktQtMUZFZX51bhWtjzcdqLKfp65L02V9kxu8fsJNNYI+3FTYtVZa+Zi0ZdnRto5Dpf6/kbqNPO2ltzMPFWj19sP6YMM+rduZrezCshPWifK4NKRbS3VvHaturWPUo3Ws2jaLkNPJLzygTsqKpbw90o4vzSvafvIXc7mhxLeXsn88sf3830tnXW1OwGXybY0YhqGAIfkCARWXBuQLBFTmN1TmD6jMH5AvYKjUZ36taCvzG/Id87zMH5DPb6jUHyhvN1QWCKjMZ8gXCJS3m+tt2JOrNT/W4cKBZ6gfZl7a4Nsk3FTDNuGmwp510qezzZ4co3zYKbq11O8Gqd94KT7ltJswDEPbDxboq8wjWvPjEf3vhyPaeeTklxKP8rjUtXWMureOVffWMeWPWMVF2u8+JkCNGIZ5mf5930lrXpZ2fy3l7mrcfSb1NYOM2ytddL95xlCQ9rIYhvnhX+orf9TweYnv6HKZv+o6Jcevf+zySbaZX+LTkYJaXuDPxiI9LrnK/z3llfhq/f6zU+K1aPKg069YS4Sbatgu3FTI+lH6+hXzOhIVF7xyOKUuP5XOmSB1ulhy13yY6XB+ib7fk6vN+/K0cZ/5dev+/CpnYh0rKS5c3VrHqFvrGHVuGa0OLaLUvnmUWkR7OEMLwSkQkA5vlTYullY/Y56t6C+TdnzeePtM6CS1Hyj1m2AOMzfCFW8rwkRxWUDZhaXanV2kg3kl2pVVpHU7srR6+2EVlPor1+/eOkYTL+hQfeA4VZDwBVRS+dyvUr/Za3H8NoJFmMsht9OpMJdDYS6nwlxOuV0Oecq/mstOeSrWczsV5nRUrme+x1G+jlNup6NynZ1ZRVq4bne96uuVHKvJwzrrhU8zdPPgjlq3M1utYrzqmRSrZlEeRXpcighzKbe4TK3jIuSQFB7mktMhOcovFnsm/74m3FTDtuGmgq/UvM7EmpelzJVH28PjpQ4XSj0vNx91uGOszx9Q5qECbdqXp03lgWfj3rwq19g5me6tY5SSEKk28RFq2yxCkR63UptHqlVsuDq0iJKLYS40FcOQirPNOzXn7zcvzZ9/QNq/Xlr3j8bbb8seUnKa1P/XMtqcI7/hUKk/oLxinzbszVVKs0iV+QN67YsftWz9Po3s3Vr+gKE9OcVauaUBr84bBNxOhzxup/lwOU98frI2t1PeE15zKcxtBg+vu2r78e/3up3an1usDzceUGy4W6ktotQ+IVJtmkUoLiJMkR63wlyOM/qDPxQQbqph+3BzrEPbzJCz/j9S/r6j7eHx5unkXX8qdRwmRcTXaze5xWXasi+vMvRkHirQD4cKtSenSHX51zV5WCcFDDMUtW0WqYQojxKiPIoNd/PLBSdXnCOl/1PK2yc1S5UCPjO85O8/JsiUf63t/YWOcTC2t1rmrtehyI7aE9lDWe5W+jp2mJ77NqAShUmy57/Pn3RMUGx42AlBIuzYMFHedrog4TnJeyq2GeZy8scOTolwU42QCjcVAn7ph8+k79+S1s6r+prDZZ4l0aKzlDZOanNOg108q8TnV+ahAm0/UKAjBSXanV2sXVmFWvrdXgXq8a+udWy4DheUqGdSrDq2jNae7CJ9mXlE53dqriFdW6pDiygVlPoUEeZSs0iPOraMVqTHpUiPi3BkIZ//uOEK39F5EyU+/wlzJoyibHlyflDivo/VZ/vfT9hedlii4sv216mWXCNSB404HVKcDhrxKpZHV7nMns4Ngfb6j3+wPgico91GC/kVPBNw+7WLV3R4mFZuOaieSbG6un9brfkxS7uzinT9ee0U7XUrOT5CqS2iFBHmojcCQYVwU42QDDfHCvilHz+XNr8rbX3fnFNwvHbnm9fO6XONGXYa6U63Pn9AO7OKtP1AvgKGoSXf7tWmfbnqkhij7MJSHcgtUVGZX1kFpVXmADSGIV1b6pPjuv9/1qu1VmccVkGJr/IeXm3iI/SLfm2UkhApl9NR+XA7HXI6HHK7yr86zb9ADRnKKSxTTlGZnA6HYiPccjuden/DPo06K0k7jhSqRbRXyfERWvtjVmUIiwhzqVVsuPyBgL7MPCKv26X4iDBFeFxKbR6lvOIyfbMrWy6nU8+u2K7fX9RZ6Tuz1blVtFrGeNUs0iN/wJBhGCoo9eub8te8bqd8AUP+gFH+NSB/QPIHAse1G3p19Q8qLmu4+RBelWqI8xsNcq5XkuOILnCuV6SjpMG2f6yl/gE6ZMRVCTDHLpeobpc5GN03WeFup7xhToW7XZVfN+/P05Jv92pwlxYa2q2Vnvxwi5LjI7RpX55uu6izWsR4FRcRpoISv85qE6dmUWFKiPLI63bRUwHUEOGmGiEfbo6X9aO0/SNp8zJp63snvu7ySC26mmdiRLeWLvo/qVUP8yyNJlRc5ldWYan2ZBcpp6hMK7cc0q6sQqU2j9KLn2VWrveTjgn6dleOChs5DMEMK3EqUB9nhl70PH7SddYEuqq5ctTCkasYR/Vzs2rr7W6PyuP0K8qfp11tR0neOHnCXOVDHK4qQx5l/oDW787RhV1byuU052HERoQp2usmXABBgnBTDcJNNQJ+aU+62aPzw6fm85Pd7M4ZJrXoYl4zo2U3M/y06mHOdajDROXGFggYKvEFVFjq0+7sIu08UqQj5RerWr7pgHwBQ11aRWv19sN6f8PRYY7RfZO1ZV+eNu/Pq7K9vinxahYZJn95D0flwzBObAsYyjhUtxsGOhw66Zyl+Miwk16XqELbZhFqEe2Vy+mQ0yEdzi+V3zAvyNUtMaa8p8lZ2ePkcjoUqSI18x9Si7L9GrH7KTkkFRfl65ARp7Od2+tUf631HCP1vEzK2S217W+eneSNaZp9AzjjEW6qQbipBcOQcnaa83U+/pOUu9ucjFycffL1nW4pqqWU2Ms8pbVZqtSsvRTbxrwOR0SzoL0WR1AwDPPMn+wd5nEuzZeKssy2d//Q9PWce6PUYYj5byKqpRTdUvLG8m8AQJ0QbqpBuKmnisCzf4N5+uyBjdLedCl7p+Q/zfwJd7h5w76YJPMRm2xeN8ThkFIvMD8Aw+PMIBQWaf8PwUDA7BkrLTSDSFmhVFpgPi8tf15WUN5Wvs7mpdKRjKats2UP6eBGqdeVZo2tekq9rzSHKaNa2P/nBOCMQLipBuGmkQQCZujJ/tH88D28Xcr6obxth3kF19qKbi2Fx5qBqmLic6te5vV6nC5z3o87/Jiv4cctl3/NypSad5bCIsyzwwy/ObRWnCN5Is3eDZfHDGgJHc1ai7PNGxIm9jbX95dJgTLzq7/MPJ24NF/a9qHkiZZa9zkaTsrKg0jpyYLLMQ9fw85BqcIbZ4bHyASpKFs68L3ZntRX2vuN2YMyeIpUkie16W+2xyRxA0QAZyzCTTUINxbxlZjXIMnbK+XuOfp1+3Lzg7cidIQkhxmQPJHmmWlhUebXE5ajzKHB9f8xw9SBjdIFd0gtu5tDgW6vFJdyRs57AoD6qs3nd8Nc0AQ4HbfXnH/TrH316xnG0WGZ3N1mj0f+AfMS+EVZ5jV5SvLND3BfieQrrv5rWaHZc+OJMcNC/n5z6Ks4x7w9RXicud3qNEs1e3pcYea8IleYeSXoiHhz4rVk3uYissXREFLxCIs8RXA55uEOr93QzlUv13xdAAhBhBucWRwO8wwZb4wUk3i0vfeV1tUEAAgqDLADAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbIdwAAABbcVtdQFMzDEOSlJuba3ElAACgpio+tys+x6sTcuEmLy9PkpSSkmJxJQAAoLby8vIUFxdX7ToOoyYRyEYCgYD27NmjmJgYORwOq8sJGbm5uUpJSdHOnTsVGxtrdTkhhWNvHY69NTju1mnMY28YhvLy8pScnCyns/pZNSHXc+N0OtW2bVurywhZsbGx/LKxCMfeOhx7a3DcrdNYx/50PTYVmFAMAABshXADAABshXCDJuH1evXAAw/I6/VaXUrI4dhbh2NvDY67dc6UYx9yE4oBAIC90XMDAABshXADAABshXADAABshXADAABshXCDBjNnzhylpqYqPDxc5513nr766qtTrvvCCy9o8ODBatasmZo1a6bhw4dXuz6qV5tjf6wFCxbI4XBozJgxjVugjdX22GdnZ2vy5MlKSkqS1+tV165dtXTp0iaq1j5qe9yfeOIJdevWTREREUpJSdGdd96p4uLiJqrWHlauXKnRo0crOTlZDodDixYtOu17VqxYoX79+snr9apz586aN29eo9cpSTKABrBgwQLD4/EYL7/8svH9998bN910kxEfH2/s37//pOuPHTvWmDNnjrFu3Tpj48aNxoQJE4y4uDhj165dTVx58Kvtsa+QmZlptGnTxhg8eLBx+eWXN02xNlPbY19SUmL079/fGDVqlPHZZ58ZmZmZxooVK4z09PQmrjy41fa4z58/3/B6vcb8+fONzMxM47333jOSkpKMO++8s4krD25Lly417rvvPuOtt94yJBkLFy6sdv2MjAwjMjLSmDJlirFhwwbj6aefNlwul7Fs2bJGr5VwgwYxYMAAY/LkyZXLfr/fSE5ONmbMmFGj9/t8PiMmJsZ45ZVXGqtE26rLsff5fMb5559vvPjii8b48eMJN3VU22P/7LPPGh07djRKS0ubqkRbqu1xnzx5snHRRRdVaZsyZYoxaNCgRq3TzmoSbv7whz8YvXr1qtJ27bXXGiNGjGjEykwMS6HeSktLtXbtWg0fPryyzel0avjw4Vq9enWNtlFYWKiysjIlJCQ0Vpm2VNdj/9BDD6lVq1b6zW9+0xRl2lJdjv3ixYs1cOBATZ48WYmJierdu7ceeeQR+f3+pio76NXluJ9//vlau3Zt5dBVRkaGli5dqlGjRjVJzaFq9erVVX5OkjRixIgafy7UR8jdOBMN79ChQ/L7/UpMTKzSnpiYqE2bNtVoG3/84x+VnJx8wn8EVK8ux/6zzz7TSy+9pPT09Cao0L7qcuwzMjL08ccf6/rrr9fSpUu1bds2TZo0SWVlZXrggQeaouygV5fjPnbsWB06dEgXXHCBDMOQz+fTb3/7W/2///f/mqLkkLVv376T/pxyc3NVVFSkiIiIRts3PTew3MyZM7VgwQItXLhQ4eHhVpdja3l5ebrhhhv0wgsvqEWLFlaXE3ICgYBatWqlv//97zrnnHN07bXX6r777tNzzz1ndWm2tmLFCj3yyCN65pln9PXXX+utt97SO++8o4cfftjq0tBI6LlBvbVo0UIul0v79++v0r5//361bt262vfOmjVLM2fO1Icffqg+ffo0Zpm2VNtjv337dv3www8aPXp0ZVsgEJAkud1ubd68WZ06dWrcom2iLv/uk5KSFBYWJpfLVdnWo0cP7du3T6WlpfJ4PI1asx3U5bjff//9uuGGG3TjjTdKks466ywVFBTo5ptv1n333Senk7/zG0Pr1q1P+nOKjY1t1F4biZ4bNACPx6NzzjlHH330UWVbIBDQRx99pIEDB57yfY899pgefvhhLVu2TP3792+KUm2ntse+e/fu+u6775Senl75uOyyyzRs2DClp6crJSWlKcsPanX5dz9o0CBt27atMlBK0pYtW5SUlESwqaG6HPfCwsITAkxFwDS4vWKjGThwYJWfkyR98MEH1X4uNJhGn7KMkLBgwQLD6/Ua8+bNMzZs2GDcfPPNRnx8vLFv3z7DMAzjhhtuMO69997K9WfOnGl4PB7j3//+t7F3797KR15enlXfQtCq7bE/HmdL1V1tj/2OHTuMmJgY49ZbbzU2b95sLFmyxGjVqpXxpz/9yapvISjV9rg/8MADRkxMjPH6668bGRkZxvvvv2906tTJuOaaa6z6FoJSXl6esW7dOmPdunWGJGP27NnGunXrjB9//NEwDMO49957jRtuuKFy/YpTwe+55x5j48aNxpw5czgVHMHn6aefNtq1a2d4PB5jwIABxhdffFH52pAhQ4zx48dXLrdv396QdMLjgQceaPrCbaA2x/54hJv6qe2x//zzz43zzjvP8Hq9RseOHY0///nPhs/na+Kqg19tjntZWZnx4IMPGp06dTLCw8ONlJQUY9KkSUZWVlbTFx7Eli9fftLf2xXHevz48caQIUNOeM/ZZ59teDweo2PHjsbcuXObpFaHYdAnBwAA7IM5NwAAwFYINwAAwFYINwAAwFYINwAAwFYINwAAwFYINwAAwFYINwAAwFYINwAAoEGsXLlSo0ePVnJyshwOhxYtWlTrbRiGoVmzZqlr167yer1q06aN/vznP9dqG4QbAE1q6NChuuOOO6wuA0AjKCgoUN++fTVnzpw6b+P222/Xiy++qFmzZmnTpk1avHixBgwYUKttcIViAE3qyJEjCgsLU0xMjNWlAGhEDodDCxcu1JgxYyrbSkpKdN999+n1119Xdna2evfurUcffVRDhw6VJG3cuFF9+vTR+vXr1a1btzrvm54bAE0qISGBYAOEqFtvvVWrV6/WggUL9O233+rqq6/Wz372M23dulWS9Pbbb6tjx45asmSJOnTooNTUVN144406cuRIrfZDuAHQpI4dlkpNTdUjjzyiiRMnKiYmRu3atdPf//73Kuvv2rVL1113nRISEhQVFaX+/fvryy+/rHz92WefVadOneTxeNStWze99tprVd7vcDj0/PPP6+c//7kiIyPVo0cPrV69Wtu2bdPQoUMVFRWl888/X9u3b6/yvv/+97/q16+fwsPD1bFjR02fPl0+n69xDgoQAnbs2KG5c+fqzTff1ODBg9WpUyfdfffduuCCCzR37lxJUkZGhn788Ue9+eabevXVVzVv3jytXbtWV111Va32RbgBYKnHH39c/fv317p16zRp0iT97ne/0+bNmyVJ+fn5GjJkiHbv3q3Fixfrm2++0R/+8AcFAgFJ0sKFC3X77bfrrrvu0vr163XLLbfo17/+tZYvX15lHw8//LDGjRun9PR0de/eXWPHjtUtt9yiqVOnas2aNTIMQ7feemvl+p9++qnGjRun22+/XRs2bNDzzz+vefPm1XpSI4CjvvvuO/n9fnXt2lXR0dGVj08++aTyj4tAIKCSkhK9+uqrGjx4sIYOHaqXXnpJy5cvr/y9UCNNcu9xACg3ZMgQ4/bbbzcMwzDat29v/OpXv6p8LRAIGK1atTKeffZZwzAM4/nnnzdiYmKMw4cPn3Rb559/vnHTTTdVabv66quNUaNGVS5LMv7v//6vcnn16tWGJOOll16qbHv99deN8PDwyuWLL77YeOSRR6ps97XXXjOSkpJq+d0CoUuSsXDhwsrlBQsWGC6Xy9i0aZOxdevWKo+9e/cahmEY06ZNM9xud5XtFBYWGpKM999/v8b7djdCOAOAGuvTp0/lc4fDodatW+vAgQOSpPT0dKWlpSkhIeGk7924caNuvvnmKm2DBg3Sk08+ecp9JCYmSpLOOuusKm3FxcXKzc1VbGysvvnmG61atapKT43f71dxcbEKCwsVGRlZx+8WCF1paWny+/06cOCABg8efNJ1Bg0aJJ/Pp+3bt6tTp06SpC1btkiS2rdvX+N9EW4AWCosLKzKssPhqBx2ioiIaPB9OByOU7ZV7Dc/P1/Tp0/XlVdeecK2wsPDG6QmwI7y8/O1bdu2yuXMzEylp6crISFBXbt21fXXX69x48bp8ccfV1pamg4ePKiPPvpIffr00aWXXqrhw4erX79+mjhxop544gkFAgFNnjxZl1xyibp27VrjOphzA+CM1adPH6Wnp5/yTIkePXpo1apVVdpWrVqlnj171mu//fr10+bNm9W5c+cTHk4nvzaBU1mzZo3S0tKUlpYmSZoyZYrS0tI0bdo0SdLcuXM1btw43XXXXerWrZvGjBmj//3vf2rXrp0kyel06u2331aLFi104YUX6tJLL1WPHj20YMGCWtVBzw2AM9Z1112nRx55RGPGjNGMGTOUlJSkdevWKTk5WQMHDtQ999yja665RmlpaRo+fLjefvttvfXWW/rwww/rtd9p06bp5z//udq1a6errrpKTqdT33zzjdavX68//elPDfTdAfYzdOhQGdVcPi8sLEzTp0/X9OnTT7lOcnKy/vOf/9SrDv4EAXDG8ng8ev/999WqVSuNGjVKZ511lmbOnCmXyyVJGjNmjJ588knNmjVLvXr10vPPP6+5c+dWXhCsrkaMGKElS5bo/fff17nnnquf/OQn+utf/1qrMX8A1uEKxQAAwFbouQEAALZCuAEAALZCuAEAALZCuAEAALZCuAEAALZCuAEAALZCuAEAALZCuAEAALZCuAEAALZCuAEAALZCuAEAALby/wFHDab+YW5xLgAAAABJRU5ErkJggg==", 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", 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" ] diff --git a/Model.md b/Model.md index 69815d7..c2c8936 100644 --- a/Model.md +++ b/Model.md @@ -120,7 +120,7 @@ As per Diamond (1998), we take preferences to be GHH, which has the interpretati $$U(c, l) = c - \psi (\varepsilon l^{\frac{1}{\varepsilon}})$$ -where $\varepsilon$ is the elasticity of taxable income. Thus, $u'(c) = 1$, and $x \frac{v''(x)}{v'(x)} = \frac{1}{\epsilon}-1$. Also note that there is a 1 to 1 mapping between $\theta$ and $z$ under incentive compatibility. Thus, we can replace $\theta$ with $z$ in the formula. However, one should be careful that we now are using $f$ as the virtual density, which makes the assumption that taxes are linearized around $T(z)$. This is fine as long as individuals are not optimizing with respect to a highly nonlinear tax code. Therefore, the formula becomes: +where $\varepsilon$ is the elasticity of taxable income. Thus, $u'(c) = 1$, and $x \frac{v''(x)}{v'(x)} = \frac{1}{\epsilon}-1$. Also note that there is a 1 to 1 mapping between $\theta$ and $z$ under incentive compatibility. This gives us the intuition that we can replace $\theta$ with $z$. While this is an oversimplification, Saez (2001) shows that the formula with $z$ does indeed hold. However, one should be careful that we now are using $f$ as the virtual density, which makes the assumption that taxes are linearized around $T(z)$. This is fine as long as individuals are not optimizing with respect to a highly nonlinear tax code. Therefore, the formula becomes: $$ diff --git a/iot/inverse_optimal_tax.py b/iot/inverse_optimal_tax.py index 5806a28..5898de5 100644 --- a/iot/inverse_optimal_tax.py +++ b/iot/inverse_optimal_tax.py @@ -40,7 +40,6 @@ def __init__( income_measure="e00200", weight_var="s006", eti=0.25, - pareto_cutoff=200_000, dist_type="log_normal", kde_bw=None, mtr_smoother="kreg", @@ -55,7 +54,7 @@ def __init__( # ] # Get income distribution self.z, self.F, self.f, self.f_prime = self.compute_income_dist( - data, income_measure, weight_var, dist_type, kde_bw, pareto_cutoff + data, income_measure, weight_var, dist_type, kde_bw ) # see if eti is a scalar if isinstance(eti, float): @@ -158,7 +157,7 @@ def compute_mtr_dist( return mtr, mtr_prime def compute_income_dist( - self, data, income_measure, weight_var, dist_type, kde_bw=None, pareto_cutoff=None + self, data, income_measure, weight_var, dist_type, kde_bw=None ): """ Compute the distribution of income (parametrically or not) from @@ -234,60 +233,57 @@ def compute_income_dist( ) f = f_function.pdf(z_line) F = np.cumsum(f) - f_prime = np.gradient(f, edge_order=2) - elif dist_type == "kde_pareto": - cutoff = pareto_cutoff - # use kde before cutoff, pareto after - kde = st.gaussian_kde( - data[income_measure], - # bw_method=kde_bw, - weights=data[weight_var], - ) - - # take subset of data above pareto_cutoff - data_pareto = data[data[income_measure] > pareto_cutoff] - b = sum(data_pareto[weight_var]) / sum(data_pareto[weight_var] * np.log(data_pareto[income_measure] / pareto_cutoff)) - # for continuity at cutoff - c = kde(cutoff) * cutoff / b - # for renormalization, derived analytically - integral = kde.integrate_box_1d(0, cutoff) + c - f = np.where(z_line < cutoff, kde.pdf(z_line), c*b*cutoff**b / z_line**(b+1)) / integral - F = np.where(z_line < cutoff, np.cumsum(f), (integral - c + c*(1 - (cutoff / z_line)**b)) / integral) - f_prime = np.where(z_line < cutoff, np.gradient(f, edge_order=2) , -c * b * (b+1) * cutoff**b / z_line**(b+2) / integral) - + f_prime = np.gradient(f, edge_order=2) elif dist_type == "Pln": def pln_pdf(y, mu, sigma, alpha): x1 = alpha * sigma - (np.log(y) - mu) / sigma phi = st.norm.pdf((np.log(y) - mu) / sigma) - R = (1 - st.norm.cdf(x1)) / (st.norm.pdf(x1) + 1e-15) # 1e-15 to avoid division by zero + R = (1 - st.norm.cdf(x1)) / (st.norm.pdf(x1) + 1e-15) + # 1e-15 to avoid division by zero pdf = alpha / y * phi * R return pdf def neg_weighted_log_likelihood(params, data, weights): mu, sigma, alpha = params - likelihood = np.sum(weights * np.log(pln_pdf(data, mu, sigma, alpha) + 1e-15)) # 1e-15 to avoid log(0) + likelihood = np.sum(weights * np.log(pln_pdf(data, mu, sigma, alpha) + 1e-15)) + # 1e-15 to avoid log(0) return -likelihood def fit_pln(data, weights, initial_guess): bounds = [(None, None), (0.01, None), (0.01, None)] - result = scipy.optimize.minimize(neg_weighted_log_likelihood, initial_guess, args=(data, weights), - method='L-BFGS-B', bounds=bounds) + result = scipy.optimize.minimize( + neg_weighted_log_likelihood, + initial_guess, + args=(data, weights), + method="L-BFGS-B", + bounds=bounds, + ) return result.x - mu_initial = (np.log(data[income_measure]) * data[weight_var] - ).sum() / data[weight_var].sum() - sigmasq = ((((np.log(data[income_measure]) - mu_initial) ** 2) - * data[weight_var]).values / data[weight_var].sum()).sum() + mu_initial = ( + (np.log(data[income_measure]) * data[weight_var]).sum() + / data[weight_var].sum() + ) + sigmasq = ( + ( + ((np.log(data[income_measure]) - mu_initial) ** 2) + * data[weight_var] + ).values + / data[weight_var].sum() + ).sum() sigma_initial = np.sqrt(sigmasq) - - - initial_guess = np.array([mu_initial, sigma_initial, 1.5]) # Initial guess for m, sigma, alpha + # Initial guess for m, sigma, alpha + initial_guess = np.array([mu_initial, sigma_initial, 1.5]) mu, sigma, alpha = fit_pln(data[income_measure], data[weight_var], initial_guess) def pln_cdf(y, mu, sigma, alpha): x1 = alpha * sigma - (np.log(y) - mu) / sigma R = (1 - st.norm.cdf(x1)) / (st.norm.pdf(x1) + 1e-12) - return st.norm.cdf((np.log(y) - mu) / sigma) - st.norm.pdf((np.log(y) - mu) / sigma)*R + CDF = ( + st.norm.cdf((np.log(y) - mu) / sigma) - + st.norm.pdf((np.log(y) - mu) / sigma) * R + ) + return CDF def pln_dpdf(y, mu, sigma, alpha): x = (np.log(y) - mu) / sigma @@ -328,6 +324,8 @@ def sw_weights(self): + ((self.theta_z * self.eti * self.mtr) / (1 - self.mtr)) + ((self.eti * self.z * self.mtr_prime) / (1 - self.mtr) ** 2) ) + integral = np.trapz(g_z, self.z) + g_z = g_z / integral # use Lockwood and Weinzierl formula, which should be equivalent but using numerical differentiation bracket_term = ( 1 @@ -338,6 +336,8 @@ def sw_weights(self): d_dz_bracket = np.diff(bracket_term) / np.diff(self.z) d_dz_bracket = np.append(d_dz_bracket, d_dz_bracket[-1]) g_z_numerical = -(1 / self.f) * d_dz_bracket + integral = np.trapz(g_z_numerical, self.z) + g_z_numerical = g_z_numerical / integral return g_z, g_z_numerical