Marc Elsberg - Gier - Glücksspiel-Simulation

gluecksspiel.js

'use strict';

// const BUCKETS = [0, 100, 500, 1000, 1500, 2000, 2500, 3000, 4500, 5000, 13150];
const ROUNDS = 100;
const ITERATIONS = 10000000.0;
const BUCKETS = [0, 1, 2.5, 5, 10, 25, 50, 100, 250, 500, 1000, 2500, 5000, 10000, 13150];

function initBuckets() {
    const buckets = {};
    for (let b of BUCKETS) {
        buckets[b] = 0;
    }
    buckets.Inf = 0;
    return buckets;
}

function addToBucket(buckets, value) {
    let isInf = true;
    for (let b in buckets) {
        if (b === 'Inf')
            continue;
        if (value < b) {
            buckets[b]++;
            isInf = false;
        }
    }
    if (isInf)
        buckets.Inf++;
}

function playGame() {
    let value = 100.0;
    for (let i = 0; i < ROUNDS; ++i) {
        if (Math.random() < 0.5)
            value *= 0.6;
        else
            value *= 1.5;
    }
    return value;
}

let sum = 0;
let max = 0;

const buckets = initBuckets();
for (let i = 0; i < ITERATIONS; ++i) {
    const res = playGame();
    addToBucket(buckets, res);
    sum += res;
    if (res > max)
        max = res;
}

console.log(`Mean of ${ITERATIONS} iterations: ${sum / ITERATIONS}`);
//console.log(`Expected: ${100.0 * Math.pow(1.05, ROUNDS)}`);
console.log(`Maximum value: ${max.toExponential(2)}`);

console.log();
for (let b in buckets) {
    console.log(`Values under ${b}: ${buckets[b]}`);
}