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auto publishing updates to notebooks
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quantecon-services committed Jan 4, 2025
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74 changes: 37 additions & 37 deletions BCG_complete_mkts.ipynb
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"cells": [
{
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"metadata": {},
"source": [
"\n",
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},
{
"cell_type": "markdown",
"id": "814a0931",
"id": "ad515639",
"metadata": {},
"source": [
"# Irrelevance of Capital Structures with Complete Markets\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "a246c213",
"id": "149a2bf8",
"metadata": {
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},
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},
{
"cell_type": "markdown",
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"metadata": {},
"source": [
"## Introduction\n",
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},
{
"cell_type": "markdown",
"id": "284146a3",
"id": "92a6f157",
"metadata": {},
"source": [
"### Setup\n",
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},
{
"cell_type": "markdown",
"id": "e21bb95a",
"id": "4f987614",
"metadata": {},
"source": [
"### Endowments\n",
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},
{
"cell_type": "markdown",
"id": "d7e80976",
"id": "4d30abdb",
"metadata": {},
"source": [
"### Technology:\n",
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},
{
"cell_type": "markdown",
"id": "05c9bf6c",
"id": "2cb1b474",
"metadata": {},
"source": [
"### Preferences:\n",
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},
{
"cell_type": "markdown",
"id": "734646bb",
"id": "fd684a27",
"metadata": {},
"source": [
"### Parameterizations\n",
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},
{
"cell_type": "markdown",
"id": "54f92848",
"id": "63433c98",
"metadata": {},
"source": [
"### Pareto criterion and planning problem\n",
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},
{
"cell_type": "markdown",
"id": "00dd7fe9",
"id": "3ccab878",
"metadata": {},
"source": [
"### Helpful observations and bookkeeping\n",
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},
{
"cell_type": "markdown",
"id": "1329a1ea",
"id": "d4ca37ed",
"metadata": {},
"source": [
"#### Remarks\n",
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},
{
"cell_type": "markdown",
"id": "97bb9b17",
"id": "95a13958",
"metadata": {},
"source": [
"## Competitive equilibrium\n",
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},
{
"cell_type": "markdown",
"id": "0f53cdc0",
"id": "354e16ed",
"metadata": {},
"source": [
"### Measures of agents and firms\n",
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},
{
"cell_type": "markdown",
"id": "db0aaf93",
"id": "8b3dcf94",
"metadata": {},
"source": [
"#### Ownership\n",
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},
{
"cell_type": "markdown",
"id": "5a49b8eb",
"id": "5dfceebd",
"metadata": {},
"source": [
"#### Asset markets\n",
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},
{
"cell_type": "markdown",
"id": "b7d2040a",
"id": "b40b8ead",
"metadata": {},
"source": [
"### Objects appearing in a competitive equilibrium\n",
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},
{
"cell_type": "markdown",
"id": "039639f5",
"id": "4670f653",
"metadata": {},
"source": [
"### A representative firm’s problem\n",
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},
{
"cell_type": "markdown",
"id": "38b32498",
"id": "f48c645f",
"metadata": {},
"source": [
"### A consumer’s problem\n",
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},
{
"cell_type": "markdown",
"id": "3a1f68b8",
"id": "c4706789",
"metadata": {},
"source": [
"### Computing competitive equilibrium prices and quantities\n",
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},
{
"cell_type": "markdown",
"id": "9a0aba34",
"id": "d4a2a4c1",
"metadata": {},
"source": [
"### Modigliani-Miller theorem\n",
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},
{
"cell_type": "markdown",
"id": "f36a79ac",
"id": "b73e0c6f",
"metadata": {},
"source": [
"## Code\n",
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{
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"metadata": {
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{
"cell_type": "code",
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"id": "4a644145",
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"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "c29dad30",
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"metadata": {},
"source": [
"### Examples\n",
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},
{
"cell_type": "markdown",
"id": "840b53a4",
"id": "866e8b38",
"metadata": {},
"source": [
"#### 1st example\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "bfbdb33d",
"id": "d1733d8a",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "6de861f1",
"id": "554e4bb5",
"metadata": {},
"source": [
"Let’s plot the agents’ time-1 endowments with respect to shocks to see\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "0ddab41a",
"id": "559af0fb",
"metadata": {
"hide-output": false
},
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},
{
"cell_type": "markdown",
"id": "55977bfe",
"id": "3de345dc",
"metadata": {},
"source": [
"Let’s also compare the optimal capital stock, $ k $, and optimal\n",
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{
"cell_type": "code",
"execution_count": null,
"id": "7989214f",
"id": "2d7d5c06",
"metadata": {
"hide-output": false
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},
{
"cell_type": "markdown",
"id": "b37f9173",
"id": "8903df03",
"metadata": {},
"source": [
"#### 2nd example\n",
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{
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"execution_count": null,
"id": "10aa4451",
"id": "01b583b8",
"metadata": {
"hide-output": false
},
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{
"cell_type": "code",
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"id": "7ebbf833",
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"metadata": {
"hide-output": false
},
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{
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"metadata": {
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},
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{
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"id": "69584419",
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"metadata": {
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},
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}
],
"metadata": {
"date": 1734843459.7942166,
"date": 1735958029.5250459,
"filename": "BCG_complete_mkts.md",
"kernelspec": {
"display_name": "Python",
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