{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Corporate Ladder\n", "\n", "To test the hypothesis that a corporation's structure encodes an optimization procedure, we set up a basic toy model. To those familiar with ML, the proposed model bears some resemblance to boosting. \n", "\n", "Given a set $e = \\{e_1,e_2,...,e_n\\}$ of employees and $R(e_i,t)$ being reward to the company of employee $i$'s work at discrete time $t$, the \"corporate model\" ends up optimizing the average reward per employee.\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The model\n", "\n", "An incoming employee $e_i$ has an internal $\\mu_i \\sim \\mathcal{N}(0,1)$, which is constant per employee, and not known by the company. At each time step, the employee produces reward for the company $R(e_i,t) \\sim \\mathcal{N}(\\mu_i,1)$, which is observed by the company.\n", "\n", "The company has 5 promotion levels, where employees with higher reward are more likely to get promoted, and employees with lower reward are more likely to get demoted. \n", "\n", "An employee that goes below the 0 promotion level is fired, and replaced with a fresh employee.\n", "\n", "To start off, we will use a direct promotion/demotion heuristic: any employee whose reward for a time step is over 1 standard deviation above the company average is promoted, and anyone below one standard deviation is demoted:" ] }, { "cell_type": "code", "execution_count": 412, "metadata": {}, "outputs": [], "source": [ "# Number of time steps to run\n", "timesteps=1000\n", "\n", "# The number of employees\n", "n = 100\n", "\n", "# The maximum number of promotions that an employee can have\n", "maxPromotions = 5\n", "firingThreshold = -1\n", "\n", "# An employee is represented just by the mean of their reward distribution for this example. \n", "# You can change it to something else to explore more complicated distributions\n", "def newEmployee():\n", " return np.random.normal()\n", "\n", "# Given an employee, and their promotion level, output the employee and the reward they get\n", "def rewardOutput(level, employee):\n", " # Return random number with the employee's mean, and the employee's mean does not change\n", " # wih time\n", " return np.random.normal(employee), employee\n", "\n", "# Each time step, new employee levels are computed from the levels vector, and the corresponding vector of rewards\n", "def employeeReview(levels,rewards):\n", " normalizedReward = (rewards-rewards.mean())/rewards.var()\n", " \n", " # Promote and demote one standard deviation\n", " levels[normalizedReward > 1] +=1\n", " levels[normalizedReward < -1] -=1\n", " \n", " return levels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given the above, we run the simulation, and observe the result" ] }, { "cell_type": "code", "execution_count": 415, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Average Reward Per Time Step')" ] }, "execution_count": 415, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "Text(0.5, 0, 'Time Step')" ] }, "execution_count": 415, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "Text(0, 0.5, 'Reward')" ] }, "execution_count": 415, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 415, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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