{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 2019-10-14 A Solow-Malthus Model of Ancient Economies " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. The Model Equations in a Nutshell \n", "\n", "Income and output $ Y $ as a function of (a) the capital-intensity $ \n", "kappa$, the efficiency of labor $ E $, the labor force $ L $, and the salience of capital accumulation in economic growth $ \\theta $; or (b) the capital stock $ K $, the efficiency of labor $ E $, the labor force $ L $, and the capital elasticity of income $ \\alpha $:\n", "\n", ">(1.1) $ Y = \\kappa^\\theta(EL) = K^{\\alpha}(EL)^{1-\\alpha} $\n", "\n", "with:\n", "\n", ">(1.2) $ \\theta = \\alpha/(1-\\alpha) $ (and $ \\alpha = \\theta/(1+\\theta) $)\n", "\n", "and with:\n", "\n", ">(1.3) $ \\kappa = K/L $.\n", "\n", "Capital-stock growth $ g_K $ as a function of the savings-investment share $ s $, income and output $ Y $, and the depreciation rate $ \\delta $:\n", "\n", ">(1.4) $ \\frac{dK/dt}{K} = \\frac{d\\ln(K)}{dt} = g_k = \\frac{sY}{K} - \\delta $\n", "\n", "Efficiency of labor growth $ g $ as a function of the growth rate $ h $ of the useful-ideas stock, and of resource scarcity generated by labor force growth $ n $ in conjunction with an importance-of-ideas-relative-to-resources parameter $ \\gamma $:\n", "\n", ">(1.5) $ \\frac{dE/dt}{E} = \\frac{d\\ln(E)}{dt} = g = h - \\frac{n}{\\gamma} $\n", "\n", "Income per worker (and, when divided by the ratio of the total to the working population, per capita):\n", "\n", ">(1.6) $ y = \\frac{Y}{L} $\n", "\n", "Labor force growth n as a function of a population growth elasticity with respect to Malthusian \"fitness\" $ \\beta $, of income devoted to Malthusian \"fitness\" $ y/\\phi $ (where $ \\phi $ captures relative expenditure on \"luxuries\") and of the zero population growth \"subsistence\" level of income devoted to Malthusian \"fitness\" $ y^{sub} $:\n", "\n", ">(1.7) $ \\frac{dL/dt}{L} = \\frac{d\\ln(L)}{dt} = n = \\beta \\left( \\frac{y}{\\phi y^{sub}}-1 \\right) $\n", "\n", "And note that the proportional rate of growth $ g_\\kappa $ of capital-intensity $ \\kappa $ is:\n", "\n", ">(1.8) $ \\frac{d\\ln(\\kappa)}{dt} = g_\\kappa = g_K - g_Y $\n", "\n", "where $ g_Y $ is the proportional growth rate of total income and output $ Y $.\n", "\n", "Sometimes we will replace the efficiency-of-labor equation (1.3) by:\n", "\n", ">(1.5') $ \\frac{dE/dt}{E} = \\frac{d\\ln(E)}{dt} = g $\n", "\n", "and the labor-force and population growth equation (1.4) by:\n", "\n", ">(1.6') $ \\frac{dL/dt}{L} = \\frac{d\\ln(L)}{dt} = n $\n", "\n", "These replacements transform the system from Solow-Malthus back to the standard Solow Growth Model.\n", "\n", " \n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2: The Solow Growth Model \n", "### 2.1: The Basic Solow Setup \n", "\n", "Here, as always, we do what economists do: ruthlessly simplify. People control resources, and use this resources in ways that respond to incentives, and so the societal system moves forward. Economists write down very simple equations describing this: behavioral relationships (how people act), equilibrium conditions (what people's interactions entail), and identities (adding-up conditions. From those they derive how the societal system should have behaved or be behaving. It goes wrong. So economists then go back and complicate the model, and see what the complication entails. They then iterate, until they believe that they have gotten close enough to say that the final-stage model is a good-enough one.\n", "\n", "Thus we start with the Solow Growth Model basic setup: income (and output) $ Y $ as a function of the capital stock $ K $, the labor force $ L $, the efficiency of labor $ E $, and the decreasing-returns parameter $ \\alpha $ are determined according to (1.1). Growth rates of the capital stock, the efficiency of labor, and of the labor force are determined according to (1.2), (1.3'), and (1.4'). These entail that the growth rate of $ Y $, income and output, is: as functions of the savings-investment rate $ s $, the population and labor force growth rate $ n $, the efficiency-of-labor growth rate $ g $, and the depreciation rate $ \\delta $:\n", "\n", ">(2.1) $ \\frac{d\\ln(Y)}{dt} = g_Y = \\alpha g_K + (1-\\alpha)n + (1-\\alpha)g $\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2: Determining the Equilibrium Capital-Output Ratio $ \\kappa^* $ \n", "\n", "Now fix the parameters $ \\alpha, \\beta, s, g $, and look for a situation in which $ g_\\kappa = 0 $: in which the capital stock $ K $ and production $ Y $ are growing at the same rate so that the capital-output ratio $ g_\\kappa $ is constant.\n", "\n", "Substituting into (2.1):\n", "\n", ">(2.2) $ g_\\kappa = g_K - \\left( \\alpha g_K + (1-\\alpha)n + (1-\\alpha)g \\right) $\n", "\n", ">(2.3) $ g_\\kappa - g_Y = (1-\\alpha)\\left( g_K - n - g \\right) $\n", "\n", ">(2.4) $ g_\\kappa = (1-\\alpha)\\left( \\frac{sY}{K} - \\delta - n - g \\right) $\n", "\n", ">(2.5) $ n + g + \\delta = \\frac{sY}{K} $ whenever $ g_\\kappa = 0 $\n", "\n", ">(2.6) $ \\kappa = \\frac{K}{Y} = \\frac{s}{n + g + \\delta} $ whenever $ g_\\kappa = 0 $\n", "\n", "So we define the _steady-state growth equilibrium_ capital-output ratio:\n", "\n", ">(2.7) $ \\kappa^* = \\left( \\frac{K}{Y} \\right)^* = \\frac{s}{n + g + \\delta} $\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3: Determining Steady-State Growth-Path Production per Worker \n", "\n", "Recall:\n", "\n", ">(2.8) $ \\ln(Y) = \\alpha\\ln(K) + (1-\\alpha)\\left(\\ln(E)+\\ln(L)\\right) $\n", "\n", "from that derive:\n", "\n", ">(2.9) $ \\ln(Y) = \\alpha\\left(\\ln(\\kappa) + \\ln(Y) \\right) + (1-\\alpha)\\left(\\ln(E)+\\ln(L)\\right) $\n", "\n", ">(2.10) $ (1-\\alpha)\\ln(Y) = \\alpha\\ln(\\kappa) + (1-\\alpha)\\left(\\ln(E)+\\ln(L)\\right) $\n", "\n", ">(2.11) $ \\ln(Y) = \\left( \\frac{\\alpha}{1-\\alpha} \\right)\\ln(\\kappa) + \\ln(L) + \\ln(E) $\n", "\n", ">(2.12) $ \\ln \\left( \\frac{Y}{L} \\right) = \\left( \\frac{\\alpha}{1-\\alpha} \\right)\\ln(\\kappa) + \\ln(E) $\n", "\n", "This is where we want to make things simpler by using $ \\theta = \\alpha/(1-\\alpha) $:\n", "\n", ">(2.13) $ \\ln \\left( \\frac{Y}{L} \\right) = \\theta\\ln(\\kappa) + \\ln(E) $\n", "\n", "And so we define steady-state growth-path production-per-worker as:\n", "\n", ">(2.14) $ \\ln \\left( \\frac{Y}{L} \\right)^* = \\theta \\ln(\\kappa^*) =+ \\ln(E) $ \n", "\n", ">(2.15) $ \\left(\\frac{Y}{L}\\right)^* = \\left(\\kappa^*\\right)^\\theta E $\n", "\n", ">(2.16) $ \\left(\\frac{Y}{L}\\right)^* = \\left( \\frac{s}{n+g+\\delta} \\right)^\\theta E $\n", "\n", ">(2.17) $ \\frac{d}{dt} \\left(\\frac{Y}{L}\\right)^* = g $\n", "\n", "Along the steady-state growth path, production per worker $ Y/L $, capital per worker $ K/L $, and the efficiency of labor $ E $ both grow at the proportional rate $ g $; the population and labor force $ L $ grows at the proportional rate $ n $; total production $ Y $ and the capital stock $ K $ grow at the proportional rate $ n + g $; and the capital-output ratio $ \\kappa = K/Y $ is constant.\n", "\n", "An economy well-modeled by this Solow Growth Model heads for a balanced-growth equilibrium path on which there is a constant balanced-growth capital-output ratio $ \\kappa^* = s/(n+g+\\delta) $, a constant growth rate $ g $ of income (and production) and the capital stock per worker, a constant growth rate $ n $ of the labor force, and a constant growth rate $ n + g $ of total societal income (and production) and of the total capital stock.\n", "\n", "How fast does this economy head for its balanced-growth equilibrium path? Recall (2.4):\n", "\n", ">(2.4) $ \\frac{1}{\\kappa}\\frac{d\\kappa}{dt} = g_\\kappa = (1-\\alpha)\\left( \\frac{s}{\\kappa} - (n+g+\\delta) \\right) $\n", "\n", ">(2.18) $ \\frac{d\\kappa}{dt} = (1-\\alpha)s -(1-\\alpha)(n+g+\\delta)\\kappa $\n", "\n", ">(2.19) $ \\frac{d\\kappa}{dt} = -(1-\\alpha)(n+g+\\delta)(\\kappa - \\kappa^*) $\n", "\n", "We have exponential convergence with a $ 1/e $ time of $ 1/[(1-\\alpha)(n+g+\\delta)] $.\n", "\n", "But this is not the ancient economy. In the ancient economy $ g = 0 $, or is very close. The model is unsatisfactory in that it does not provide an explanation for why $ g $ is near zero. Hence we complicate the model by introducing _Malthusian_ elements.\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3: Population, Resource Scarcity, and the Efficiency of Labor \n", "\n", "### 3.1: Determinants of the Efficiency of Labor \n", "\n", "Now let's complicate the determinants of the efficiency of labor. Let's revert to (1.3): efficiency of labor growth $ g $ is a funciton of the rate $ h $ at which economically useful ideas are generated, but also of the rate of population and labor force growth $ n $ because a higher population makes resources per capita scarce, as determined by an effect-of-resource scarcity parameter $ \\gamma $:\n", "\n", ">(1.3) $ \\frac{dE/dt}{E} = \\frac{d\\ln(E)}{dt} = g = h - \\frac{n}{\\gamma} $\n", "\n", "Thus:\n", "\n", ">(3.1) $ \\frac{d}{dt} \\left(\\frac{Y}{L}\\right)^* = 0 $ whenever $ h - \\frac{n}{\\gamma} = 0 $\n", "\n", ">(3.2) $ n^{*mal} = \\gamma h $ is the population growth rate at which $ \\frac{d}{dt} \\left(\\frac{Y}{L}\\right)^* = 0 $\n", "\n", "When population is growing at the rate $ n^{*mal} $, the efficiency of labor—and thus the steady-state growth-path level of production per worker $ Y/L $—is constant.\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2: Determinants of Population and Labor Force Growth \n", "\n", "Now let's revert to (1.5): make the rate of growth of the population and labor force depend on the level of prosperity $ y = Y/L $; on the \"subsistence\" standard of living for necessities $y^{sub} $; and also on the fraction $ 1/\\phi $ of production that is devoted to necessities, not conveniences and luxuries, and thus enters into reproductive and survival fitness:\n", "\n", ">(1.5) $ \\frac{dL/dt}{L} = \\frac{d\\ln(L)}{dt} = n = \\beta \\left( \\frac{y}{\\phi y^{sub}}-1 \\right) $\n", "\n", "Then for population to be growing at its Malthusian rate:\n", "\n", ">(3.3) $ \\gamma h = \\beta \\left(\\frac{1}{\\phi}\\right) \\left( \\frac{y}{y^{sub}}- \\phi \\right) $\n", "\n", ">(3.4) $ \\frac{\\phi \\gamma h}{\\beta} = \\left( \\frac{y}{y^{sub}}- \\phi \\right) $\n", "\n", ">(3.5) $ \\frac{y}{y^{sub}} = \\phi \\left( 1 + \\frac{\\gamma h}{\\beta} \\right) $\n", "\n", ">(3.6) $ y^{*mal} = \\phi y^{sub} \\left( 1 + \\frac{ n^{*mal}}{\\beta}\\right) = \\phi y^{sub} \\left( 1 + \\frac{ \\gamma h}{\\beta}\\right) $\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.3: The Full Equilibrium \n", "\n", "We can determine the log level $ E $ of the efficiency of labor:\n", "\n", ">(3.7) $ \\ln(E) = \\ln(H) - \\frac{\\ln(L)}{\\gamma} $\n", "\n", "Recall (24):\n", "\n", ">(2.16) $ y^* = \\left( \\frac{s}{n+g+\\delta} \\right)^\\theta E $\n", "\n", "Then:\n", "\n", ">(3.8) $ y^{*mal} = \\left( \\frac{s}{\\gamma h +\\delta} \\right)^\\theta E $\n", "\n", ">(3.9) $ \\ln(\\phi) + \\ln\\left( y^{sub} \\right) + \\ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) = \\theta \\ln(s) - \\theta \\ln(\\gamma h +\\delta) + \\ln(E) $\n", "\n", ">(3.10) $ \\ln(y^{sub}) = \\theta \\ln(s) - \\theta \\ln(\\gamma h +\\delta) + \\ln(H_t) - \\frac{\\ln(L_t)}{\\gamma} - \\ln(\\phi) - \\ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) $\n", "\n", ">(3.11) $ \\frac{\\ln(L_t)}{\\gamma} = \\theta \\ln(s) - \\theta \\ln(\\gamma h +\\delta) + \\ln(H_t) - \\ln(\\phi) - \\ln( y^{sub}) -ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) $\n", "\n", "Thus the population and labor force in the full Malthusian equilibrium will be:\n", "\n", ">(3.12) $ \\ln(L_t^{*mal}) = \\gamma \\left[ \\theta \\ln(s) - \\theta \\ln(\\gamma h +\\delta) + \\ln(H_t) - \\ln(\\phi) - \\ln( y^{sub}) -ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) \\right] $\n", "\n", "It might be worthwhile decomposing this into terms depending on: (1) the level and rate of growth of the stock of _ideas_; (2) the rule of law and thrift that drive investment; (3) luxuries (including urbanization and elites); and demography in form of sociological (and law-and-order) determinants of \"subsistence\":\n", "\n", ">(3.13) $ \\ln(L_t^{*mal}) = \\gamma \\left[ \\ln(H_t) - \\ln( y^{sub}) \\right] + \\gamma \\theta \\left( \\ln(s) - \\ln(\\delta) \\right) - \\gamma \\ln(\\phi) + \\left( - \\gamma \\theta \\ln(1 + \\gamma h/\\delta) -\\gamma ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) \\right) $\n", "\n", "or:\n", "\n", ">(3.14) $ L_t^{*mal} = \\left[ \\left( \\frac{H_t}{y^{sub}} \\right) \\left( \\frac{s}{\\delta} \\right)^\\theta \\left( \\frac{1}{\\phi} \\right) \\left[ \\frac{1}{(1+\\gamma h/\\delta)^\\theta} \\frac{1}{(1+\\gamma h/\\beta)} \\right] \\right]^\\gamma $ \n", "\n", "And recall the Malthusian equilibrium standard of living:\n", "\n", ">(3.8) $ y^{*mal} = \\phi y^{sub} \\left( 1 + \\frac{ \\gamma h}{\\beta}\\right) $\n", "\n", "Plus for the rate of population growth:\n", "\n", ">(3.2) $ n^{*mal} = \\gamma h $" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thus we have our equilibrium for the pre-industrial Malthusian economy:\n", "\n", "* Start with the rate $ h $ at which new economically-useful ideas are being generated and with the responsiveness $ \\beta $ of population growth to increased prosperity.\n", "\n", "* From those derive the Malthusian rate of population growth: $ n^{*mal} = \\gamma h $\n", "\n", "* Then the Malthusian standard of living is: $ y^{*mal} = \\phi y^{sub} \\left( 1 + \\frac{ \\gamma h}{\\beta}\\right) $\n", "\n", "The Malthusian equilibrium standard of living is:\n", "\n", "1. The luxuries-and-conveniences parameter $ \\phi $, times\n", "2. The sociologically-determined level of subsistence $ y^{sub} $, times\n", "3. The (small and constant) nuisance parameter $ 1 + \\gamma h/\\beta $ needed to generate average population growth $ n^{*mal} = \\gamma h $.\n", "\n", "Production per worker and thus prosperity is determined by (a) true subsistence, (b) the wedge between prosperity and reproductive fitness produced by spending on conveniences and luxuries that do not impact reproductive success, and (c) the wedge above subsistence needed to generate population growth consonant with the advance of knowledge and population pressure's generation of resource scarcity.\n", "\n", "At any date t, the Malthusian-equilibrium population is:\n", "\n", "1. the current level $ H_t $ of the valuable ideas stock divided by the (sociologically determined, by, for example western European delayed female marriage patterns, or lineage-family control of reproduction by clan heads) Malthusian-subsistence income level $ y^{sub} $ consistent with a stable population on average, times\n", "\n", "2. the ratio between the savings-investment rate $ s $ and the depreciation rate $ \\delta $, raised to the parameter $ \\theta $ which governs how much an increase in the capital-output ratio raises income—with a higher $ \\theta $ the rule of law, imperial peace, and a culture of thrift and invetment matter more, and can generate \"efflorescences\"—times\n", "\n", "3. one over the conveniences-and-luxuries parameter $ \\phi $—it drives a wedge between prosperity and subsistence as spending is diverted categories that do not affect reproduction, such as middle-class luxuries, upper-class luxuries, but also the \"luxury\" of having an upper class, and the additional conveniences of living in cities and having trade networks that can spread plagues—times\n", "\n", "4. two nuisance terms near zero, which depend on how much the level of population must fall below the true subsistence level at which population growth averages zero to generate the (small) average population growth rate that produces growing resource scarcity that offsets the (small) rate of growth of useful ideas. all this\n", "\n", "5. raised to the power $ \\gamma $ that describes how much more important ideas are than resources in generating human income and production.\n", "\n", "(1) is the level of the stock of _useful ideas_ relative to the requirements for subsistence. (2) depends on how the rule of law and the rewards to thrift and entrepeneurship drive savings and investment, and thus the divisio of labor. (3) depends on how society diverts itself from nutrition and related activities that aim at boosting reproductive fitness and, instead, devotes itself to conveniences and luxuries—including the \"luxury\" of having an upper class, and all the conveniences of urban life. (4) are constant, and are small. And (5) governs how productive potential is translated into resource scarcity-generating population under Malthusian conditions.\n", "\n", "And the Malthusian-equilibrium population and labor force is growing at the rate $ n^{*mal} = \\gamma h $.\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4: Malthusian Convergence \n", "\n", "Recall:\n", "\n", ">(1.7) $ \\frac{dL/dt}{L} = \\frac{d\\ln(L)}{dt} = n = \\beta \\left( \\frac{y}{\\phi y^{sub}}-1 \\right) $\n", "\n", ">(2.14) $ \\ln(y) = \\theta\\ln(\\kappa) + \\ln(H) -\\ln(L)/\\gamma $\n", "\n", "Substitute:\n", "\n", ">(4.1) $ \\frac{1}{L}\\frac{dL}{dt} = \\frac{d\\ln(L)}{dt} = n = \\beta \\left( \\frac{\\kappa^\\theta H L^{-\\gamma}}{\\phi y^{sub}}-1 \\right) $\n", "\n", ">(4.2) $ \\frac{d\\kappa}{dt} = -(1-\\alpha)(h + (1-1/\\gamma)n +\\delta)\\kappa + (1-\\alpha)s $\n", "\n", "Define ideas-adjusted-for-population $ I $:\n", "\n", ">(4.3) $ I = H L^{-1/\\gamma} $\n", "\n", ">(4.4) $ i = h - n/\\gamma $\n", "\n", ">(4.5) $ \\frac{d\\kappa}{dt} = -(1-\\alpha)(\\gamma h - (\\gamma-1)i +\\delta)\\kappa + (1-\\alpha)s $\n", "\n", ">(4.6) $ \\frac{d\\kappa}{dt} = (1-\\alpha)s -(1-\\alpha)(\\gamma h +\\delta)\\kappa + (1-\\alpha) (\\gamma-1)i\\kappa $\n", "\n", ">(4.7) $ \\frac{1}{I}\\frac{dI}{dt} = i = h - n/\\gamma = h - \\frac{\\beta}{\\gamma} \\left( \\frac{\\kappa^\\theta I}{\\phi y^{sub}}-1 \\right) $\n", "\n", "Then we have two state variables—capital-intensity $ \\kappa $, the capital-output ratio, and ideas-adjusted-for-population $ I $. We have two dynamic equations: The rate of change of ideas-adjusted-for-population $ I $ is a function of the capital-output ratio and itself. And the rate of change of capital-intensity $ \\kappa $ is a function of itself and of the rate of change of ideas-adjusted-for-population $ I $.\n", "\n", "The steady state is then:\n", "\n", ">(4.8) $ I^{*mal} = \\frac{H}{L^{1/\\gamma}} = \\phi y^{sub}\\left(\\frac{\\delta}{s}\\right)^{\\theta}\\left(1+ \\frac{\\gamma h}{\\delta}\\right)^{\\theta}\\left( 1 + \\gamma h/\\beta \\right) $\n", "\n", ">(4.9) $ \\kappa^{*mal} = \\frac{s}{\\gamma h + \\delta} $\n", "\n", "Define:\n", "\n", ">(4.10) $ I = (1 + \\xi) I^{*mal} $\n", "\n", ">(4.11) $ \\kappa = (1 + k) \\kappa^{*mal} = (1 + k) (s/(\\delta + \\gamma h)) $\n", "\n", ">(4.12) $ \\frac{1}{1 + \\xi}\\frac{d\\xi}{dt} = h - \\frac{\\beta}{\\gamma} \\left( \\frac{(1+k)^\\theta\\left(\\kappa^{*mal}\\right)^\\theta (1+\\xi) I^{*mal}}{\\phi y^{sub}}-1 \\right) $\n", "\n", ">(4.13) $ \\frac{1}{1+\\xi}\\frac{d\\xi}{dt} = i = h - \\frac{\\beta}{\\gamma} \\left(( 1 + \\gamma h/\\beta )(1+k)^\\theta (1+\\xi) - 1 \\right) $\n", "\n", ">(4.14) $ \\frac{1}{1+\\xi}\\frac{d\\xi}{dt} = i = h - \\left(( h + \\frac{\\beta}{\\gamma})(1+k)^\\theta (1+\\xi) - \\frac{\\beta}{\\gamma} \\right) $\n", "\n", "Using the approximation:\n", "\n", "> $ 1 + \\theta k = (1+k)^{\\theta} $\n", "\n", ">(4.15) $ \\frac{1}{1+\\xi}\\frac{d\\xi}{dt} = h - h - \\frac{\\beta}{\\gamma} - h \\theta k - \\frac{\\theta \\beta}{\\gamma}k - h \\xi - \\frac{ \\beta}{\\gamma}\\xi + \\frac{\\beta}{\\gamma} $\n", "\n", ">(4.16) $ \\frac{d\\xi}{dt} = \\left[ h - h - \\frac{\\beta}{\\gamma} - h \\theta k - \\frac{\\theta \\beta}{\\gamma}k - h \\xi - \\frac{ \\beta}{\\gamma}\\xi + \\frac{\\beta}{\\gamma} \\right](1+\\xi) $\n", "\n", ">(4.17) $ \\frac{d\\xi}{dt} = -(h \\theta + \\theta \\beta / \\gamma)k - (h + \\beta/\\gamma)\\xi $\n", "\n", "This is our linearized exponential-convergence equation for the deviation of ideas-adjusted-for-the-population $ \\xi $.\n", "\n", "Now on to the capital-instensity. Recall:\n", "\n", "from our definition of $ k $ we get:\n", "\n", ">(4.18) $ \\frac{d\\kappa}{dt} = \\frac{dk}{dt}\\kappa^{*mal} $\n", "\n", ">(4.19) $ \\kappa^{*mal}\\frac{dk}{dt} = (1-\\alpha)s -(1-\\alpha)(\\gamma h +\\delta)(1+k)\\kappa^{*mal} + (1-\\alpha) (\\gamma-1)i(1+k)\\kappa^{*mal} $\n", "\n", ">(4.20) $ \\kappa^{*mal}\\frac{dk}{dt} = (1-\\alpha)s -(1-\\alpha)(\\gamma h +\\delta)\\kappa^{*mal} -(1-\\alpha)(\\gamma h +\\delta)k\\kappa^{*mal} + (1-\\alpha) (\\gamma-1)i(1+k)\\kappa^{*mal} $\n", "\n", ">(4.21) $ \\kappa^{*mal}\\frac{dk}{dt} = -(1-\\alpha)(\\gamma h +\\delta)k\\kappa^{*mal} + (1-\\alpha) (\\gamma-1)i(1+k)\\kappa^{*mal} $\n", "\n", ">(4.22) $ \\kappa^{*mal}\\frac{dk}{dt} = -(1-\\alpha)sk - (1-\\alpha) (\\gamma -1)(h\\theta + \\theta \\beta / \\gamma)k + (h + \\beta/\\gamma)\\xi)\\kappa^{*mal} $\n", "\n", ">(4.23) $ \\frac{dk}{dt} = -(1-\\alpha)(\\delta + \\gamma h)k - (1-\\alpha) (\\gamma-1)(h\\theta + \\theta \\beta / \\gamma)k - (1-\\alpha) (\\gamma-1)(h + \\beta/\\gamma)\\xi$\n", "\n", ">(4.24) $ \\frac{dk}{dt} = -(1-\\alpha)\\left[\\delta + \\gamma h + (\\gamma-1)(h\\theta + \\theta \\beta / \\gamma) \\right]k - (1-\\alpha) (\\gamma-1)( h + \\beta/\\gamma)\\xi$\n", "\n", "Thus our linearized exponential-convergence system for the deviation of ideas-adjusted-for-the-population $ \\xi $ and the deviation of capital-intensity $ k $ from steady-state Malthusian equilibrium is:\n", "\n", ">(4.24) $ \\frac{dk}{dt} = -(1-\\alpha)\\left[\\delta + \\gamma h + (\\gamma-1)(h\\theta + \\theta \\beta / \\gamma) \\right]k - (1-\\alpha) (\\gamma-1)( h + \\beta/\\gamma)\\xi$\n", "\n", ">(4.17) $ \\frac{d\\xi}{dt} = -(h \\theta + \\theta \\beta / \\gamma)k - (h + \\beta/\\gamma)\\xi $\n", "\n", " \n", "\n", "###### Malthusian Convergence will be maintained at: \n", "\n", " " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# DEFINING CLASS MALTHUSIAN\n", "#\n", "# kept in delong_classes\n", "# \n", "# in general use:\n", "# import delong_classes\n", "#\n", "# m = delong_classes.malthusian\n", "#\n", "# memo:\n", "# .__init__ :: initialize\n", "# .update :: calculate the next year's values\n", "# .gen_seq :: return time series of selected variable\n", "# .steady_state ::calculate the steady state\n", "#\n", "# starting parameter values: no technological progress (h=0)\n", "# savings-investment rate (s=0.15) and depreciation rate \n", "# (δ=0.05) so steady-state capital intensity (κ*=3)\n", "\n", "\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "\n", "import numpy as np\n", "\n", "class malthusian:\n", " \n", " \"\"\"\n", " Implements the Malthusian Model with:\n", " \n", " 1. population growth \n", " n = β*(y/(ϕ ysub)-1)\n", " \n", " 2. growth of efficiency-of-labor \n", " g = h-n/γ\n", " \"\"\"\n", " def __init__(self,\n", " L = 1, # initial labor force\n", " E = 1/3, # initial efficiency of labor\n", " K = 3.0, # initial capital stock\n", " \n", " # determinants of n (population growth):\n", " β = 0.025, # responsiveness of population growth to increased prosperity.\n", " ϕ = 1, # luxuries parameter\n", " ysub = 1, # subsistence level\n", " \n", " # determinants of g(efficiency-of-labor growth):\n", " h = 0, # rate at which useful ideas are generated\n", " γ = 2.0, # effect-of-resource scarcity parameter \n", " \n", " s = 0.15, # savings-investment rate\n", " α = 0.5, # orientation-of-growth-toward-capital parameter\n", " δ = 0.05, # deprecation rate on capital parameter\n", " ):\n", " self.L, self.E, self.K, self.h, self.γ, self.s, self.α, self.δ = L, E, K, h, γ, s, α, δ \n", " self.β, self.ϕ, self.ysub = β, ϕ, ysub\n", " \n", " # production (or output)\n", " self.Y = self.K**self.α*(self.E*self.L)**(1-self.α) \n", " self.y = self.Y/self.L\n", " \n", " # capital-output ratio \n", " self.κ = self.K/self.Y \n", " \n", " # population growth \n", " self.n = self.β*((self.y/(self.ϕ*self.ysub)) - 1)\n", " \n", " # growth rate of efficiency-of-labor\n", " self.g = self.h-self.n/self.γ\n", " \n", " # store initial data\n", " self.initdata = vars(self).copy()\n", " \n", " def update(self):\n", " \"Calculate the next year's values\"\n", " # unpack parameters\n", " K, s, Y, δ, L, n, E, g, α =self.K, self.s, self.Y, self.δ, self.L, self.n, self.E, self.g, self.α\n", " β, ϕ, ysub, h, γ = self.β, self.ϕ, self.ysub, self.h, self.γ\n", " \n", " #update variables \n", " K = s*Y + (1-δ)*K\n", " L = L*np.exp(n)\n", " E = E*np.exp(g)\n", " Y = K**α*(E*L)**(1-α)\n", " y = Y/L\n", " κ = K/Y\n", " n = β*(y/(ϕ*ysub)-1)\n", " g = h-n/γ\n", " \n", " #store variables\n", " self.K, self.s, self.Y, self.δ, self.L, self.n, self.E, self.g, self.α = K, s, Y, δ, L, n, E, g, α\n", " self.κ, self.y = κ, y\n", " \n", " def gen_seq(self, t, var = 'κ', init = True, log = False):\n", " \"Generate and return time series of selected variable. Variable is κ by default.\"\n", " \n", " path = []\n", " \n", " # initialize data \n", " if init == True:\n", " for para in self.initdata:\n", " setattr(self, para, self.initdata[para])\n", "\n", " for i in range(t):\n", " path.append(vars(self)[var])\n", " self.update()\n", " \n", " if log == False:\n", " return path\n", " else:\n", " return np.log(np.asarray(path))\n", "\n", " def steady_state(self, disp = True):\n", " \"Calculate variable values in the steady state\"\n", " #unpack parameters\n", " s, γ, h, δ, ϕ, ysub, β, α= self.s, self.γ, self.h, self.δ, self.ϕ, self.ysub, self.β, self.α\n", " \n", " self.mal_κ = s/(γ*h+δ)\n", " # malthusian rate of population growth\n", " self.mal_n = γ*h\n", " # malthusian standard of living\n", " self.mal_y = ϕ*(ysub+γ*h/β)\n", " self.mal_E = self.mal_y*((γ*h+δ)/s)**(α/(1-α))\n", " \n", " if display == True:\n", " return(f'steady-state capital-output ratio κ: {self.mal_κ:.2f}')\n", " return(f'Malthusian rate of population growth n: {self.mal_n: .2f}')\n", " return(f'Malthusian standard of living y: {self.mal_y:.2f}')\n", " return(f'steady-state efficiency-of-labor E: {self.mal_E:.2f}') \n", " else: \n", " return(self.mal_κ,self.mal_n,self.mal_y,self.mal_E)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# TESTING THE MALTHUSIAN CLASS\n", "# \n", "# No idea stock growth (h = 0)\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "\n", "import delong_classes\n", "\n", "T = 1000\n", "\n", "m_base = delong_classes.malthusian(K=3.0)\n", "m_base.scenario = \"base scenario\"\n", "m_alt = delong_classes.malthusian(K=3.0)\n", "m_alt.scenario = \"alt scenario\"\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for m in m_base, m_alt:\n", " lb = f'{m.scenario}: initial κ = {m.initdata[\"κ\"]:.2f}'\n", " axes[i,j].plot(m.gen_seq(T, var = figcontents[i,j][0], log = figcontents[i,j][2]),'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "# global legend\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run', size = 20)\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# TESTING THE MALTHUSIAN CLASS\n", "#\n", "# Adding idea stock growth fast enough that\n", "# (with salience of ideas parameter γ=2) \n", "# population will double every 700 years \n", "# (h=0.0005)\n", "# \n", "# Starting the economy at the h=0 steady-state...\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "\n", "import delong_classes\n", "\n", "T = 1000\n", "\n", "m_base = delong_classes.malthusian(h=.0005)\n", "m_base.scenario = \"base scenario\"\n", "m_alt = delong_classes.malthusian(h=.0005)\n", "m_alt.scenario = \"alt scenario\"\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for m in m_base, m_alt:\n", " lb = f'{m.scenario}: initial κ = {m.initdata[\"κ\"]:.2f}'\n", " axes[i,j].plot(m.gen_seq(T, var = figcontents[i,j][0], log = figcontents[i,j][2]),'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "# global legend\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run', size = 20)\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the steady state is not affected by where we start." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What if a certain parameter changes value in the course of development?\n", "To start with, here we consider the time period 0AD - 500AD.\n", "\n", "### Assume useful ideas stopped developing since 250:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# USEFUL IDEAS GROWTH STOPS IN YEAR 250\n", "#\n", "# h=0.0005 initially, with economy in Malthusian\n", "# steady state\n", "# \n", "# \n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "\n", "import delong_classes\n", "\n", "m = delong_classes.malthusian(h=0.0005, E=0.354, K=3.06)\n", "\n", "# generate and store sequences before the change:\n", "T1 = 250 # time before change\n", "T2 = 250 # time after change\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for scenario in {'base', 'with shock'}:\n", " seq = m.gen_seq(T1, var = figcontents[i,j][0], log = figcontents[i,j][2])\n", " lb = f'{scenario}'\n", " if scenario == 'with shock':\n", " m.h = 0\n", " seq = np.append(seq, m.gen_seq(T2, var = figcontents[i,j][0], log = figcontents[i,j][2], init = False))\n", " axes[i,j].plot(seq,'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run with Negative Ideas Growth Rate Shock in Year 250', size = 18)\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# THE COMING OF AN IMPERIAL PEACE IN YEAR 250\n", "#\n", "# an imperial peace raises consumption of luxuries and of\n", "# urbananization, so parameter φ jumps: φ = 1 --> 1.25\n", "# simultaneously, law and order boost savoings-investment,\n", "# so the parameter s jumps: s = 0.15 --> 0.25\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import delong_classes\n", "\n", "m = delong_classes.malthusian(h=0.0005, E=0.354, K=3.06)\n", "\n", "# generate and store sequences before the change:\n", "T1 = 250 # time before change\n", "T2 = 250 # time after change\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for scenario in {'base', 'with shock'}:\n", " seq = m.gen_seq(T1, var = figcontents[i,j][0], log = figcontents[i,j][2])\n", " lb = f'{scenario}'\n", " if scenario == 'with shock':\n", " m.φ = 1.25\n", " m.s = 0.25\n", " seq = np.append(seq, m.gen_seq(T2, var = figcontents[i,j][0], log = figcontents[i,j][2], init = False))\n", " axes[i,j].plot(seq,'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run with Coming of Imperial Peace in Year 250', size = 18)\n", "plt.show() \n", "\n", "# greater consumption of luxuries and of urban life initally\n", "# puts downward pressure on the population, but in less than\n", "# a generation the productivity and division-of-labor benefits\n", "# from higher savings-investment more than compensate\n", "#\n", "# the economy heads for an imperial peace steady state with\n", "# higher capital-intensity κ = 3 --> 4.9; a lower efficiency \n", "# of labor due to heightened resource scarcity E = 0.353 --> 0.27,\n", "# and a higher labor force\n", "#\n", "# output per capita rises, overshoots its new steady-state value,\n", "# and peaks about two generations after the coming of the imperial\n", "# peace:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# THE COLLAPSE OF AN EMPIRE IN YEAR 250\n", "#\n", "# an imperial collapse reduces consumption of luxuries \n", "# and of urbananization, so parameter φ falls: φ = 1.25 --> 1;\n", "# simultaneously, the anarchy lowers savoings-investment, so\n", "# the parameter s falls: s = 0.25 --> 0.15\n", "\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import delong_classes\n", "\n", "m = delong_classes.malthusian(h=0.0005, E=0.27, K=6.5, φ = 1.25, s = 0.25)\n", "\n", "# generate and store sequences before the change:\n", "T1 = 250 # time before change\n", "T2 = 250 # time after change\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for scenario in {'base', 'with shock'}:\n", " seq = m.gen_seq(T1, var = figcontents[i,j][0], log = figcontents[i,j][2])\n", " lb = f'{scenario}'\n", " if scenario == 'with shock':\n", " m.φ = 1.0\n", " m.s = 0.15\n", " seq = np.append(seq, m.gen_seq(T2, var = figcontents[i,j][0], log = figcontents[i,j][2], init = False))\n", " axes[i,j].plot(seq,'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run with Empire Fall', size = 20)\n", "plt.show() \n", "\n", "# the collapse in demand for luxuries and for urban life initally\n", "# allows an upward jump in the population, but in less than\n", "# a generation the productivity and division-of-labor costs\n", "# from lower savings-investment more than compensate\n", "#\n", "# the economy heads for a post-collapse steady state with\n", "# lower capital-intensity κ = 4.9 --> 3 ; a higher efficiency \n", "# of labor due to reduced resource scarcity E = 0.27 --> 0.353,\n", "# and a lower labor force\n", "#\n", "# output per capita falls, undershoots its new steady-state value,\n", "# and troughs out about two generations after the collapse of the\n", "# empire:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Consider a plague in 250:\n", "\n", "The plague decreased the total population (and thus labor force) by 1/3. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# IMPACT OF A PLAGUE IN YEAR 250\n", "#\n", "# the plague carries off 1/3 of the population\n", "#\n", "# the efficiency of labor immediately jumps up\n", "# because of reduced resource scarcity\n", "#\n", "# \n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import delong_classes\n", "\n", "m = delong_classes.malthusian(h=0.0005, E=0.354, K=3.06)\n", "\n", "# generate and store sequences before the change:\n", "T1 = 250 # time before change\n", "T2 = 250 # time after change\n", "\n", "figcontents = {\n", " (0,0):('κ','Capital-Output Ratio', False),\n", " (0,1):('E','Efficiency of Labor', False),\n", " (1,0):('L','Log Labor Force', True),\n", " (1,1):('K','Log Capital Stock', True),\n", " (2,0):('Y','Log Output', True),\n", " (2,1):('y','Output-per-worker', False)\n", " }\n", "\n", "num_rows, num_cols = 3,2\n", "fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n", "for i in range(num_rows):\n", " for j in range(num_cols):\n", " for scenario in {'base', 'with plague'}:\n", " seq = m.gen_seq(T1, var = figcontents[i,j][0], log = figcontents[i,j][2])\n", " lb = f'{scenario}'\n", " if scenario == 'with plague':\n", " m.L = 2/3*m.L\n", " m.E = m.E*(2/3)**(-1/m.γ)\n", " seq = np.append(seq, m.gen_seq(T2, var = figcontents[i,j][0], log = figcontents[i,j][2], init = False))\n", " axes[i,j].plot(seq,'o-', lw=2, alpha=0.5, label=lb)\n", " axes[i,j].set(title=figcontents[i,j][1])\n", "\n", "axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n", "plt.suptitle('Malthusian Model: Simulation Run with Plague in 250', size = 20)\n", "plt.show() \n", "\n", "# the population recvoeres about halfway back to steady-state\n", "# in each generation\n", "#\n", "# the dynamics of the capital-intensity show a little bit of\n", "# cyclicality: the capital-output ratio undershoots its steady-\n", "# state value by a bit, and then climbs back up:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To summarize, the shock on idea development will change the steady state and the development path, while a plague would not change the steady state." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Shocks to the System... \n", "\n", "* A plague, pushing $ L_t $ down substantially below $ L_t^{*mal} $...\n", "* Fall (or rise) of empire:\n", " * A breakdown (or buildup) of law-and-order, raising incentives to save and invest, and so raising $ s $...\n", " * A greater \"taste\" for inequality, luxuries, and urbanization, raising $ \\phi $...\n", "* Invaders and other raiders, raising $ \\delta $...\n", "* A speed-up or slowdown in innovation, raising or lowering $ h $...\n", "* Large-scale destruction of the societal web and thus the societal division of labor, lowering $ H $...\n", "* An increased rate of death from disease or violence, raising or lowering $ Y^{sub} $...\n", "\n", " \n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Solow-Malthus Model of Ancient Economies \n", "\n", "\n", "\n", "### Catch Our Breath—Further Notes:\n", "\n", "
\n", "\n", "----\n", "\n", "* weblog support \n", "* nbViewer \n", "* datahub \n", "\n", " \n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": 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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 4 }