{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "$nCycles$ - number of simulation cycles\n", "\n", "$nBuyers$ - number of the buyers\n", "\n", "$nSellers$ - number of the sellers\n", "\n", "$seed$ - the seed of the random numbers\n", "\n", "$d_0$ - the lower bound for random uniform numbers, both for the buyers and the sellers in the warming up phase; in the running phase, the lower bound is $0$\n", "\n", "$d_1$ - the upper bound for random uniform numbers for the buyers\n", "\n", "$d_2$ - the upper bound for random uniform numbers for the sellers\n", "\n", "initial buyer $i$ reservation price, different for each buyer: $p_{b,i}=\\frac{1} {1 + u_i}$ with $u_i\\sim\\mathcal{U}(d_0,d_1)$\n", "\n", "initial seller j reservation price, different for each seller: $p_{s,j}=1 + u_j$ with $u_j\\sim\\mathcal{U}(d_0,d_2)$\n", "\n", "the running prices are changing following the correction coefficients:\n", "\n", "$c_b=\\frac{1} {1 + u_b}$ or $c_b=1 + u_b$ with $u_b\\sim\\mathcal{U}(0,d_1)$\n", "\n", "$c_s=\\frac{1} {1 + u_s}$ or $c_s=1 + u_s$ with $u_s\\sim\\mathcal{U}(0,d_2)$\n", "\n", "$buyersSellersRatio$ - the ratio $\\frac{nBuyers}{nSellers}$\n", "\n", "$sellersBuyersRatio$ - the ratio $\\frac{nSellers}{nBuyers}$\n", "\n", "$usingRatios$ - a logic variable activating limitations to $d_1$ or $d_2$\n", "\n", "$squeezeRate$ - always $< 1$, as further compression of $d_1$ or $d_2$\n", "\n", "$usingSqueezeRate$ - a logic variable to further squeeze $d_1$ or $d_2$\n", "\n", "### corrupting the simplified hayekian mechanism\n", "\n", "$buyerThreshold$ - over this number of failures, a special price correction occurs, multiplying the buyer price by $c_b=1 + u_b$ with $u_b\\sim\\mathcal{U}(0,d_{1_{overT}})$\n", "\n", "$sellerThreshold$ - over this number of failures, a special price correction occurs, multiplying the seller price by $c_s=\\frac{1} {1 + u_s}$ with $u_s\\sim\\mathcal{U}(0,d_{2_{overT}})$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "import statistics as s\n", "import numpy as np\n", "import pylab as plt\n", "from ipywidgets import Output\n", "from IPython.display import clear_output\n", "from IPython.display import display\n", "import time\n", "import math" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# warming up for corrupted version\n", "\n", "# execute before the corrupted hayekian version\n", "def warmingUp():\n", " global nCycles, nBuyers, nSellers,\\\n", " buyersSellersRatio, sellersBuyersRatio,\\\n", " usingRatios, usingSqueezeRate, squeezeRate,\\\n", " d0, d1, d2, buyerPriceList, sellerPriceList,\\\n", " sellerThreshold, buyerThreshold,\\\n", " d1overT, d2overT, fig0\n", "\n", " nCycles=10000\n", " nBuyers= 100\n", " nSellers=100\n", "\n", " buyersSellersRatio=nBuyers/nSellers\n", " sellersBuyersRatio=nSellers/nBuyers\n", " usingRatios=True\n", " squeezeRate=0.3 # always < 1 \n", " usingSqueezeRate=False\n", "\n", " seed=111\n", " np.random.seed(seed)\n", "\n", " d0=0.1\n", " d1=0.2\n", " d2=0.2\n", " \n", " d1overT=0.4\n", " d2overT=0.4\n", "\n", " sellerThreshold=50\n", " buyerThreshold =5\n", "\n", " buyerPriceList=[]\n", " sellerPriceList=[]\n", "\n", " for i in range(nBuyers):\n", " buyerPriceList.append([1/(1+np.random.uniform(d0,d1)),0])\n", " for j in range(nSellers):\n", " sellerPriceList.append([1+np.random.uniform(d0,d2),0])\n", " \n", " #zip is an iterator and * means iteratable \n", " fig0=plt.figure(0)\n", " plt.plot(list(zip(*sorted(buyerPriceList,reverse=True)))[0],\"r\");\n", " plt.plot(list(zip(*sorted(sellerPriceList)))[0],\"b\");\n", " xlabel(\"the agents\");\n", " ylabel(\"agents' reservation prices\");" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "01b5f455b92f407591ac9fea665d147b", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# corrupted simplified hayekian perspective\n", "\n", "warmingUp()\n", "\n", "out = Output()\n", "display(out)\n", "\n", "meanPrice_ts=[]\n", "meanPriceStDev_ts=[]\n", "meanPriceVar_ts=[]\n", "\n", "if usingRatios and not usingSqueezeRate:\n", " if buyersSellersRatio>1: d2*=sellersBuyersRatio\n", " if sellersBuyersRatio>1: d1*=buyersSellersRatio\n", " \n", "if usingRatios and usingSqueezeRate:\n", " if buyersSellersRatio>1: d2*=sellersBuyersRatio*squeezeRate\n", " if sellersBuyersRatio>1: d1*=buyersSellersRatio*squeezeRate\n", "\n", "\n", "for t in range(1,nCycles+1): \n", " dealPrices=[]\n", " agNum=max(nBuyers,nSellers)\n", " for n in range(agNum):\n", "\n", " i = np.random.randint(0,nBuyers)\n", " j = np.random.randint(0,nSellers)\n", " \n", " if buyerPriceList[i][0]>=sellerPriceList[j][0]:\n", " dealPrices.append(sellerPriceList[j][0])\n", " buyerPriceList[i][0] *=1/(1+np.random.uniform(0,d1))\n", " buyerPriceList[i][1] =0 # success\n", " sellerPriceList[j][0]*=1+np.random.uniform(0,d2)\n", " sellerPriceList[j][1] =0 # success\n", " else:\n", " buyerPriceList[i][0] *=1+np.random.uniform(0,d1)\n", " buyerPriceList[i][1] +=1 # failure\n", " sellerPriceList[j][0]*=1/(1+np.random.uniform(0,d2))\n", " sellerPriceList[j][1]+=1 # failure\n", " \n", " # corrections\n", " \n", " if buyerPriceList[i][1] > buyerThreshold:\n", " buyerPriceList[i][0] *=1+np.random.uniform(0,d1overT)\n", " buyerPriceList[i][1] =0\n", " if sellerPriceList[j][1] > sellerThreshold:\n", " sellerPriceList[j][0]*=1/(1+np.random.uniform(0,d2overT))\n", " sellerPriceList[j][1]=0\n", " \n", " \n", " if len(dealPrices) > 2:\n", " meanPrice_ts.append(s.mean(dealPrices))\n", " meanPriceVar_ts.append(s.variance(dealPrices))\n", " meanPriceStDev_ts.append(s.stdev(dealPrices))\n", " else:\n", " meanPrice_ts.append(np.nan)\n", " meanPriceStDev_ts.append(np.nan)\n", " \n", " if t % 1000==0:\n", " with out:\n", " clear_output()\n", " with out:\n", " print('time', t, 'and n. of exchanges in the last cycle', \\\n", " len(dealPrices))\n", " print(\\\n", " 'mean and var of exchange prices in the last cycle: %1.3e, %1.3e' %\\\n", " (meanPrice_ts[-1],meanPriceVar_ts[-1]))\n", "\n", " fig1=plt.figure(1,figsize=(7,15),clear=True)\n", "\n", " plt.subplot(311)\n", " plt.plot(list(zip(*sorted(buyerPriceList, reverse=True)))[0],\"r\")\n", " plt.plot(list(zip(*sorted(sellerPriceList)))[0],\"b\")\n", " plt.title(\\\n", " \"buyers' prices (red) and sellers' prices (blue)\")\n", " xlabel(\"the agents\")\n", " ylabel(\"agents' reservation prices\")\n", "\n", " plt.subplot(312)\n", " plt.title(\"mean price of each cycle\")\n", " xlabel(\"t\")\n", " ylabel(\"mean price of each cycle\")\n", " plt.plot(meanPrice_ts,\"g\")\n", " \n", " plt.subplot(313)\n", " plt.title(\"price coef. of variation within each cycle\")\n", " coefOfVariation=[]\n", " for m in range(len(meanPriceStDev_ts)):\n", " coefOfVariation.append(meanPriceStDev_ts[m]/\n", " meanPrice_ts[m])\n", " plt.plot(coefOfVariation,\".\",markersize=0.1)\n", " xlabel(\"t\")\n", " ylabel(\"price coef. of variation within each cycle\")\n", " #plt.show() #activate to see intermadiate plots\n", " #time.sleep(1)\n", " \n", "# hist crashes with NaN\n", "meanPrice_ts_hist=[]\n", "for k in range(len(meanPrice_ts)): \n", " if not math.isnan(meanPrice_ts[k]):\n", " meanPrice_ts_hist.append(meanPrice_ts[k])\n", "meanPriceStDev_ts_hist=[]\n", "for k in range(len(meanPriceStDev_ts)): \n", " if not math.isnan(meanPriceStDev_ts[k]):\n", " meanPriceStDev_ts_hist.append(meanPriceStDev_ts[k])\n", "fig2=plt.figure(2,figsize=(7,9))\n", "plt.subplot(211)\n", "if meanPrice_ts_hist != []:\n", " plt.title(\"mean price histogram\")\n", " plt.hist(meanPrice_ts_hist,100,color=\"g\");\n", "plt.subplot(212)\n", "if meanPriceStDev_ts_hist != []:\n", " plt.title(\"price standard deviation (within each cycle) histogram\")\n", " plt.hist(meanPriceStDev_ts_hist,100);" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# the buyers in order of reservation price \n", "# and their successful buy acctions\n", "\n", "fig3=plt.figure(3,figsize=(7,9))\n", "plt.title(\"the buyers in order of reservation price \"+\\\n", " \"and their unsuccessful buy actions since the \"+\\\n", " \"last successful one\");\n", "plt.bar(list(zip(*sorted(buyerPriceList)))[0],\\\n", " list(zip(*sorted(buyerPriceList)))[1],0.001)\n", "xlabel(\"reservation prices\");\n", "ylabel(\"unsuccessful buy actions\");" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "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": "3.7.0" } }, "nbformat": 4, "nbformat_minor": 2 }