diff --git a/models/.DS_Store b/models/.DS_Store index 486f65d..5c78c84 100644 Binary files a/models/.DS_Store and b/models/.DS_Store differ diff --git a/models/v3/Trigger_Function_Explanation.ipynb b/models/v3/Trigger_Function_Explanation.ipynb index 9156c2d..88b40e6 100644 --- a/models/v3/Trigger_Function_Explanation.ipynb +++ b/models/v3/Trigger_Function_Explanation.ipynb @@ -2,21 +2,33 @@ "cells": [ { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "tags": [] + }, "source": [ - "### The Trigger Function\n", + "# Transforming Continuous Values to Discrete Events\n", "\n", - "https://www.desmos.com/calculator/yxklrjs5m3\n", + "The role of the trigger function in the conviction voting algorithm is to determine if a sufficient amount of conviction has accumulated in support of a particular proposal. In the 1hive use case for conviction, proposals map to precise quantities of resources $r$ requested from a communal resource pool $R$ (which is time varying $R_t$ but we will drop the subscript for ease of reading). Further more there is a supply of governance tokens $S$ which are being used as part of the goverance process. In the implementation the quantity $S$ will be the effective supply which is the subset of the total Supply for the governance token in question. We assume a time varying supply $S_t$ and thereforewe can interpret $S_t$ as the effective supply without loss of generality. Furthermore we drop the subscript and refer to $S$ for ease of reading. The process of passing a proposal results in an allocation of $r$ funds as shown in the figure below.\n", "\n", - "Below we show a sweep of the trigger function threshold, considering the share of funds requested (on the x-axis) with the alpha parameter and effective supply (y-axis):" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Factor out the demonstration of the trigger function from the top of the main simulation notebook\n", - "+ add a few more plots and explanations about how and why it works" + "![](images/stockflow_cv_trigger.png)\n", + "\n", + "The trigger function is characterized by a set of parameters in addition to the current state of the system: $R$ and $S$. Those parameters are $\\alpha$, $\\beta$ and $\\rho$.\n", + "\n", + "$\\alpha \\in (0,1)$ is the conviction rate parameter defined in [LINK TO Deriving Alpha] and should be tuned according to a desired half life.\n", + "\n", + "$\\beta\\in (0,1)$ is the assymptotic limit for trigger function. It is impossible to discharge more $\\beta$ share of funds. \n", + "\n", + "$\\rho \\in (0, \\beta^2)$ is a the scale factor for trigger function. Note that we require $0<\\rho <\\beta^2$ \n", + "\n", + "The trigger function:\n", + "\n", + "$y^*(r) = y^*(r) = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta^2 - \\frac{r}{R}\\right) }$\n", + "\n", + "The geometric properties of this function with respect to the parameter choices are shown here:\n", + "\n", + "![](images/trigger_geometry.png)\n", + "\n", + "Note that by requiring that: $0<\\rho <\\beta^2$ the following holds $0<\\frac{\\rho}{\\beta^2}<1$ and $0<\\beta - \\sqrt \\rho <\\beta <1$" ] }, { @@ -25,18 +37,22 @@ "metadata": {}, "outputs": [], "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "from cadCAD.configuration.utils import config_sim\n", "from model.parts.utils import *\n", - "from model.parts.sys_params import * \n", - "\n", - "sim_config = config_sim({\n", - " 'N': 1,\n", - " 'T': range(100), #day \n", - " 'M': params,\n", - "})" + "from model.parts.sys_params import * " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pull params out of the existing files or use this notebook to ovewrite them with your own choices to see how the plots are affected." ] }, { @@ -45,47 +61,493 @@ "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "for reference: max conviction = 5.035599031662158in log10 units\n" - ] + "output_type": "execute_result", + "data": { + "text/plain": "{'initial_sentiment': 0.6,\n 'n': 30,\n 'm': 7,\n 'initial_funds': 4867.21,\n 'supply': 22392.22}" + }, + "metadata": {}, + "execution_count": 2 } ], "source": [ - "supply = initial_values['supply']\n", - "alpha = sim_config[0]['M']['alpha']\n", - "\n", - "mcv = supply/(1-alpha)\n", - "print('for reference: max conviction = '+str(np.log10(mcv))+'in log10 units')" + "initial_values" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "{'beta': [0.2],\n 'rho': [0.0025],\n 'alpha': [0.7937005259840998],\n 'gamma': [0.001],\n 'sensitivity': [0.75],\n 'tmin': [1],\n 'min_supp': [1],\n 'base_completion_rate': [45],\n 'base_failure_rate': [180],\n 'base_engagement_rate': [0.3],\n 'lowest_affinity_to_support': [0.3]}" + }, + "metadata": {}, + "execution_count": 3 + } + ], "source": [ - "supply_sweep = trigger_sweep('effective_supply',trigger_threshold, sim_config[0]['M'], supply)\n", - "alpha_sweep = trigger_sweep('alpha',trigger_threshold, sim_config[0]['M'], supply)" + "params" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, + "outputs": [], + "source": [ + "supply = initial_values['supply']\n", + "funds = initial_values['initial_funds']\n", + "\n", + "alpha = params['alpha'][0]\n", + "beta = params['beta'][0]\n", + "rho = params['rho'][0]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def trigger(requested, funds, supply, alpha, beta, rho):\n", + " '''\n", + " Function that determines threshold for proposals being accepted.\n", + " Refactored slightly from built in to be explicit for demo\n", + " '''\n", + " share = requested/funds\n", + " if share < beta:\n", + " threshold = rho*supply/(beta-share)**2 * 1/(1-alpha)\n", + " return threshold \n", + " else: \n", + " return np.inf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Simple derivations:\n", + "\n", + "min_required_conviction = $y^*(0) = \\frac{\\rho S}{(1-\\alpha)\\beta^2}$\n", + "\n", + "max_achievable_conviction = $\\frac{S}{1-\\alpha}$\n", + "\n", + "min_required_conviction_as_a_share_of_max = $\\frac{\\rho S}{(1-\\alpha)\\beta^2} \\cdot \\frac{1-\\alpha}{S} = \\frac{\\rho}{\\beta^2}$\n", + "\n", + "To compute the max_achievable_request solve: \n", + "\n", + "$\\frac{S}{1-\\alpha} = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta-\\frac{r}{R}\\right)^2}$\n", + "\n", + "max_achievable_request = $r = (\\beta -\\sqrt\\rho)F$" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "tags": [] + }, "outputs": [ { + "output_type": "stream", + "name": "stdout", + "text": "min_required_conviction =6783.893932236272\nmax_achievable_conviction =108542.30291578037\n\nmin_achievable_conviction_as_a_share_of_max_achievable_conviction =0.06249999999999999\n\nmax_achievable_request =730.0815000000001\ntotal_funds =4867.21\n\nmax_achievable_request_as_a_share_of_funds =0.15000000000000002\n" + } + ], + "source": [ + "min_required_conviction = trigger(0, funds, supply, alpha, beta, rho)\n", + "print(\"min_required_conviction =\"+str(min_required_conviction))\n", + "\n", + "max_achievable_conviction = supply/(1-alpha)\n", + "print(\"max_achievable_conviction =\"+str(max_achievable_conviction))\n", + "print(\"\")\n", + "print(\"min_achievable_conviction_as_a_share_of_max_achievable_conviction =\"+str(min_required_conviction/max_achievable_conviction))\n", + "print(\"\")\n", + "max_request = beta*funds\n", + "max_achievable_request = (beta - np.sqrt(rho))*funds\n", + "print(\"max_achievable_request =\"+str(max_achievable_request))\n", + "print(\"total_funds =\"+str(funds))\n", + "print(\"\")\n", + "print(\"max_achievable_request_as_a_share_of_funds =\"+str(max_achievable_request/funds))\n", + "\n", + "granularity = 100 \n", + "\n", + "requests = np.arange(0,.9*max_request, max_request/granularity)\n", + "requests_as_share_of_funds = requests/funds\n", + "conviction_required = np.array([trigger(r, funds, supply, alpha, beta, rho) for r in requests])\n", + "conviction_required_as_share_of_max = conviction_required/max_achievable_conviction\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First set of plots in \"Absolute Terms\" based on alpha, Supply and Funds as above" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", "data": { - "image/png": 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\n" }, "metadata": { "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(requests, conviction_required)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", + "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", + "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Absolute Terms; Linear Scale\")\n", + "plt.xlabel(\"Resources Requested\")\n", + "plt.ylabel(\"Conviction Required to Pass\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(0.0, 119396.53320735841)" }, - "output_type": "display_data" + "metadata": {}, + "execution_count": 8 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "#ZOOM IN\n", + "plt.plot(requests, conviction_required)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", + "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", + "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Absolute Terms; Linear Scale\")\n", + "plt.xlabel(\"Resources Requested\")\n", + "plt.ylabel(\"Conviction Required to Pass\")\n", + "plt.gca().set_ylim(0, max_achievable_conviction*(1.1))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(requests, conviction_required)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", + "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", + "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Absolute Terms; Log Scale\")\n", + "plt.xlabel(\"Resources Requested\")\n", + "plt.ylabel(\"Conviction Required to Pass\")\n", + "plt.gca().set_yscale('log')" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(3391.946966118136, 217084.60583156074)" + }, + "metadata": {}, + "execution_count": 10 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "#Zoom in\n", + "plt.plot(requests, conviction_required)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", + "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", + "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Absolute Terms; Log Scale\")\n", + "plt.xlabel(\"Resources Requested\")\n", + "plt.ylabel(\"Conviction Required to Pass\")\n", + "plt.gca().set_yscale('log')\n", + "plt.gca().set_ylim(min_required_conviction/2, max_achievable_conviction*2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Second set of plots in \"Relative Terms\" which knock out the dependence on alpha and supply, as well as treating requests as share of total funds." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0, 0.5, 'Conviction Required to Pass as share of max achievable')" + }, + "metadata": {}, + "execution_count": 11 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", + "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", + "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Relative Terms; Linear Scale\")\n", + "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", + "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(0.0, 1.1)" + }, + "metadata": {}, + "execution_count": 12 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "#zoom in\n", + "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", + "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", + "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Relative Terms; Linear Scale\")\n", + "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", + "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n", + "plt.gca().set_ylim(0, 1.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", + "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", + "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Relative Terms; Log Scale\")\n", + "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", + "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n", + "plt.gca().set_yscale('log')" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(0.031249999999999997, 2)" + }, + "metadata": {}, + "execution_count": 14 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "#zoom in\n", + "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", + "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", + "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Relative Terms; Log Scale\")\n", + "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", + "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n", + "plt.gca().set_yscale('log')\n", + "plt.gca().set_ylim(min_required_conviction/max_achievable_conviction/2,2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Third set of plots are heatmaps to show the simultaneous variation of multiple parameters with a focus on alpha and supply." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "{'beta': [0.2],\n 'rho': [0.0025],\n 'alpha': [0.7937005259840998],\n 'gamma': [0.001],\n 'sensitivity': [0.75],\n 'tmin': [1],\n 'min_supp': [1],\n 'base_completion_rate': [45],\n 'base_failure_rate': [180],\n 'base_engagement_rate': [0.3],\n 'lowest_affinity_to_support': [0.3]}" + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "#note that i am using params stored in the supporting files, this won't have changed even if you have edited the plots above\n", + "\n", + "params" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "supply_sweep = trigger_sweep('effective_supply',trigger, params, supply)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "alpha_sweep = trigger_sweep('alpha',trigger, params, supply)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } } ], "source": [ @@ -96,8 +558,15 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "These plots demonstrate the increasing conviction required to pass a proposal when either % of funds requested, effective supply, or alpha parameter is high. Blue areas represent lower required conviction, and red areas represent impossibly high conviction. This ensures that the reserve pool of funds are not depleted by a small number of large proposals.\n" + "These plots demonstrate that the trigger functions the share of of max conviction required to pass a proposal remains constant under variations in both alpha and effective supply -- both of these variables scale the the conviction required to pass a proposal and the max conviction possible by the same amount." ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -116,7 +585,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.5" + "version": "3.8.3-final" } }, "nbformat": 4, diff --git a/models/v3/images/trigger_geometry.png b/models/v3/images/trigger_geometry.png new file mode 100644 index 0000000..1325fb8 Binary files /dev/null and b/models/v3/images/trigger_geometry.png differ diff --git a/models/v3/model/parts/utils.py b/models/v3/model/parts/utils.py index 0a71b4b..2194abe 100644 --- a/models/v3/model/parts/utils.py +++ b/models/v3/model/parts/utils.py @@ -424,13 +424,16 @@ def affinities_plot(df, dims = (8.5, 11) ): -def trigger_sweep(field, trigger_func,params,supply=10**9): +def trigger_sweep(field, trigger_func,params,supply=10**9, x_extra=.001): ''' ''' - xmax= params['beta'] + rho = params['rho'][0] + beta = params['beta'][0] + xmax=beta- np.sqrt(rho) + alpha = params['alpha'][0] if field == 'effective_supply': - share_of_funds = np.arange(.001,xmax,.001) + share_of_funds = np.arange(0,xmax*(1+x_extra),.001) total_supply = np.arange(0,supply*10, supply/100) demo_data_XY = np.outer(share_of_funds,total_supply) @@ -442,8 +445,8 @@ def trigger_sweep(field, trigger_func,params,supply=10**9): sof = share_of_funds[sof_ind] for ts_ind in range(len(total_supply)): ts = total_supply[ts_ind] - tc = ts /(1-params['alpha']) - trigger = trigger_func(sof, 1, ts, params['alpha'],params) + tc = ts /(1-alpha) + trigger = trigger_func(sof, 1, ts, alpha,beta, rho) demo_data_Z0[sof_ind,ts_ind] = np.log10(trigger) demo_data_Z1[sof_ind,ts_ind] = trigger demo_data_Z2[sof_ind,ts_ind] = trigger/tc #share of maximum possible conviction @@ -454,11 +457,11 @@ def trigger_sweep(field, trigger_func,params,supply=10**9): 'log10_share_of_max_conv':demo_data_Z3, 'total_supply':total_supply, 'share_of_funds':share_of_funds, - 'alpha':params['alpha']} + 'alpha':alpha} elif field == 'alpha': #note if alpha >.01 then this will give weird results max alpha will be >1 - alpha = np.arange(0,.5,.001) - share_of_funds = np.arange(.001,xmax,.001) + alpha = np.arange(0,1,.001) + share_of_funds = np.arange(0,xmax*(1+x_extra),.001) demo_data_XY = np.outer(share_of_funds,alpha) demo_data_Z4=np.empty(demo_data_XY.shape) @@ -471,7 +474,7 @@ def trigger_sweep(field, trigger_func,params,supply=10**9): ts = supply a = alpha[a_ind] tc = ts /(1-a) - trigger = trigger_func(sof, 1, ts, a, params) + trigger = trigger_func(sof, 1, ts, a, beta, rho) demo_data_Z4[sof_ind,a_ind] = np.log10(trigger) demo_data_Z5[sof_ind,a_ind] = trigger demo_data_Z6[sof_ind,a_ind] = trigger/tc #share of maximum possible conviction @@ -505,12 +508,12 @@ def trigger_plotter(share_of_funds,Z, color_label,y, ylabel,cmap='jet'): cbar.ax.set_ylabel(color_label) def trigger_grid(supply_sweep, alpha_sweep): - + fig, axs = plt.subplots(nrows=2, ncols=1,figsize=(20,20)) axs = axs.flatten() share_of_funds = alpha_sweep['share_of_funds'] - Z = alpha_sweep['log10_trigger'] + Z = alpha_sweep['share_of_max_conv'] y = alpha_sweep['alpha'] ylabel = 'alpha' supply = alpha_sweep['supply'] @@ -519,27 +522,29 @@ def trigger_grid(supply_sweep, alpha_sweep): axs[0].axis([share_of_funds[0], share_of_funds[-1], y[0], y[-1]]) axs[0].set_ylabel(ylabel) axs[0].set_xlabel('Share of Funds Requested') + axs[0].set_xticks(np.arange(0,.175,.025)) axs[0].set_title('Trigger Function Map - Alpha sweep; Supply ='+str(supply)) - cb0=plt.colorbar(cp0, ax=axs[0]) - cb0.set_label('log10 of conviction to trigger') + cb0=plt.colorbar(cp0, ax=axs[0],ticks=np.arange(0,1.1,.1)) + cb0.set_label('share of max conviction to trigger') share_of_funds = supply_sweep['share_of_funds'] - Z = supply_sweep['log10_trigger'] + Z = supply_sweep['share_of_max_conv'] y = supply_sweep['total_supply'] ylabel = 'Effective Supply' alpha = supply_sweep['alpha'] - max_conv = y/(1-alpha) + #max_conv = y/(1-alpha) cp1=axs[1].contourf(share_of_funds, y, Z.T,100, cmap='jet', ) axs[1].axis([share_of_funds[0], share_of_funds[-1], y[0], y[-1]]) axs[1].set_ylabel(ylabel) axs[1].set_xlabel('Share of Funds Requested') + axs[1].set_xticks(np.arange(0,.175,.025)) axs[1].set_title('Trigger Function Map - Supply sweep; alpha='+str(alpha)) - axs[1].set_label('log10 of conviction to trigger') - cb1=plt.colorbar(cp1, ax=axs[1]) - cb1.set_label('log10 of conviction to trigger') + #axs[1].set_label('log10 of conviction to trigger') + cb1=plt.colorbar(cp1, ax=axs[1], ticks=np.arange(0,1.1,.1)) + cb1.set_label('share of max conviction to trigger') def initialize_network(n,m, initial_funds, supply, params):