Created
November 25, 2022 16:51
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Just some world cup simulations...
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let currentScores = { | |
'arg': 0, | |
'mex': 1, | |
'pol': 1, | |
'ara': 3 | |
} | |
function updateScores(scores, {home, away, result}) { | |
scores = {...scores} | |
switch (result) { | |
case 0: | |
scores[home] += 1 | |
scores[away] += 1 | |
break; | |
case 1: | |
scores[home] += 3 | |
break; | |
case -1: | |
scores[away] += 3 | |
break; | |
} | |
return scores | |
} | |
let nextMatches = [ | |
{home: 'arg', away: 'mex'}, | |
{home: 'pol', away: 'ara'}, | |
{home: 'mex', away: 'ara'}, | |
{home: 'pol', away: 'arg'} | |
] | |
function randomize(match) { | |
return {...match, result: Math.floor(Math.random() * 3) - 1} | |
} | |
function randomizeAll(matches) { | |
return matches.map(randomize) | |
} | |
function summarizeScores(scores, matches) { | |
return matches.reduce(updateScores, scores) | |
} | |
function randomizeScores(scores, matches) { | |
return summarizeScores(scores, randomizeAll(matches)) | |
} | |
function whoClassified(scores) { | |
return Object.entries(scores) | |
.sort(([, scoreA],[, scoreB]) => scoreB - scoreA) | |
.slice(0, 2) | |
.map(([team]) => team) | |
} | |
function didWeMakeIt(scores) { | |
return whoClassified(scores).includes('arg') | |
} | |
function monteCarlo() { | |
let runs = 10000 | |
let yay = 0 | |
for (let i = 0; i < runs; i++) { | |
let finalScores = randomizeScores(currentScores, nextMatches) | |
if (didWeMakeIt(finalScores)) { | |
yay++ | |
} | |
} | |
return yay / runs * 100 | |
} | |
function assignResults(matches, results) { | |
return matches.map((match, index) => ({...match, result: results[index]})) | |
} | |
function exploreAll() { | |
let runs = 0 | |
let yay = 0 | |
for (let a = -1; a < 2; a++) { | |
for (let b = -1; b < 2; b++) { | |
for (let c = -1; c < 2; c++) { | |
for (let d = -1; d < 2; d++) { | |
let finalScores = summarizeScores(currentScores, assignResults(nextMatches, [a, b, c, d])) | |
if (didWeMakeIt(finalScores)) { | |
yay++ | |
} | |
runs++ | |
} | |
} | |
} | |
} | |
return yay / runs * 100 | |
} | |
let expectedValue = exploreAll() | |
let n = 100 | |
let mse = Array.from(Array(n)).map(_ => (expectedValue - monteCarlo()) ** 2).reduce((a, b) => a + b, 0) / n |
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