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HTML 

              
                <div class="container">
  <h1>Player Experience Equations</h1>
  <section>
    <div>
      <p>
        The purpose here is to show how an algorithm could prevent the problem of overpowered players in a VRMMO like Domino Finn's "Reboot" series.  
      </p>
      <p>
          Even if the player at the top gained an enormous amount of experience, they wouldn't level until the average of other players started to rise. 
        </p>
      <p>Conversely, a newbie would have a much easier time leveling.</p>
      <h2>Base Experience Equation</h2>
      <p>
        Let the base experience (b) equal 1000 * the level of the player (cpl).
      </p>
      <p>$$b = 1000 * cpl$$</p>
      <p>In the event that the character's level is the same as the average level of other characters, the base experience equation shall be used.</p>
      <h2>Base Equation for Highest Level Player</h2>
      <p>For the highest leveled player who is not equal to the average level, let experience equal the base experience (b) times the highest level player (h) divided by the average level of other players (avl) raised to the power of (h) minus the next highest leveled player (nh) + 1.</p>
    </div>

    <div class="equation">
      
      <p>$$exp = b({({h \over avl})^{(h-nh+1)}})$$</p>
    </div>
    <div class="equation">
      <h2>Base Equation for Other Players</h2>
      <p>For a player who is not the highest leveled player and is not at the same level as the average player, let experience (exp) equal the base experience (b) divided by the current player level (cpl) over the average player's level (avl)</p>
      <p>
        $$exp = {b({cpl \over avl})} $$
      </p>
    </div>
  </section>
  <section class="col col-sm-12">
    
    <div class="input col">
      <label class="col-sm-9" for="highestLevelPlayer">
    Highest Level Player
  </label>
      <input class="col-sm-3" type="number" id='highestLevelPlayer' value='10' min='0'>
    </div>
    <div class="input col">
      <label class="col-sm-9" for="nextHighestLevelPlayer">Next Highest Level Player</label>
      <input class="col-sm-3" type="number" id='nextHighestLevelPlayer' value='8' min='0'>
    </div>
    <div class="input col">
      <label class="col-sm-9" for="averagePlayerLevel">Average Player Level</label>
      <input class="col-sm-3" type="number" id='averagePlayerLevel' value='5' min='0'>
    </div>
    <div class="input col">
      <label class="col-sm-9" for="otherPlayerLevel">Other Player Level</label>
      <input class="col-sm-3" type="number" id='otherPlayerLevel' value='1' min='0'>
    </div>
  </section>
  <section>
    <section>
      <h2>Results:</h2>
      <div>
        For the highest level player with a level of <span id="hplayer"></span>, the experience required will be <output id='highestLevelPlayerResult'></output> out of a base experience of <output id='baseExperienceHighestOutput2'></output>
      </div>
      <div>
        For the other player with a level of  <span id="oplayer"></span>, the experience required will be <output id="otherPlayerResult"></output> out of a base experience of <output id="otherPlayerOutput2"></output>
      </div>
      <div>
        <br/>
        <p>Equation visualized:</p> 
        <p><strong>Highest Player Formula: </strong><output id='totalExpHighestOutput'></output> = <output id='baseExperienceHighestOutput'></output>((<output id='highestLevelPlayerLevelOutput1'></output> / <output id='averagePlayerLevelOutput'></output>)<sup>(<output id='highestLevelPlayerLevelOutput2'></output>-<output id='nextHighestLevelOutput'></output>+1)</sup>)</p>

        </div>
    </section>
  </section>
</div>
!

CSS
!

JS 

              
                const d = document
const highestPlayerLevel = d.querySelector('#highestLevelPlayer')
const nextHighestPlayerLevel = d.querySelector('#nextHighestLevelPlayer')
const averagePlayerLevel = d.querySelector('#averagePlayerLevel')
const otherPlayerLevel = d.querySelector('#otherPlayerLevel')

const highestPlayerSpan = d.querySelector('#hplayer')
const playerResult = d.querySelector('#highestLevelPlayerResult')

const otherPlayerSpan = d.querySelector('#oplayer')
const otherPlayerResult = d.querySelector('#otherPlayerResult')
const otherPlayerOutput2 = d.querySelector('#otherPlayerOutput2')

const baseExperienceFunc = (level) => {
  return Number(level) * 1000
}

const playerOutput = () => {
  highestPlayerSpan.innerHTML = highestPlayerLevel.value
}

const otherPlayerOutput = () => {
  otherPlayerSpan.innerHTML = otherPlayerLevel.value
}

const otherPlayerEquation = () => {
  const playerLevel = Number(otherPlayerLevel.value)
  const highestLevel = Number(highestPlayerLevel.value)
  const averageLevel = Number(averagePlayerLevel.value)
  const baseExperience = baseExperienceFunc(playerLevel)

  if (playerLevel === highestLevel) {
    return baseExperience
  }
  if (playerLevel > highestLevel) {
    alert("ERROR!  The other player cannot be higher leveled than the highest player!")
    return
  }
  otherPlayerOutput2.innerHTML = baseExperience.toLocaleString()
  otherPlayerResult.innerHTML = Number(Math.round(baseExperience * (playerLevel / averageLevel))).toLocaleString()
}

const highestLevelPlayerEquation = () => {
  const playerLevel = Number(highestPlayerLevel.value)
  const baseExperience = baseExperienceFunc(playerLevel)
  const nextHighestLevel = Number(nextHighestPlayerLevel.value)
  const averageLevel = Number(averagePlayerLevel.value)
  if (playerLevel === averageLevel) {
    return baseExperience
  }
  if (playerLevel < averageLevel) {
    alert("ERROR!  The average level cannot be higher than the highest leveled player!")
    return
  }
  const base = (playerLevel / averageLevel)
  const expo = (playerLevel - nextHighestLevel + 1)
  const exponent = Math.pow(base, expo)
  const result = Math.round(baseExperience * exponent)
  playerResult.innerHTML = result.toLocaleString()
}

highestLevelPlayerEquation()
otherPlayerEquation()
playerOutput()
otherPlayerOutput()


highestPlayerLevel.addEventListener('change', playerOutput)
otherPlayerLevel.addEventListener('change', otherPlayerOutput)
highestPlayerLevel.addEventListener('change', highestLevelPlayerEquation)
nextHighestPlayerLevel.addEventListener('change', highestLevelPlayerEquation)
averagePlayerLevel.addEventListener('change', highestLevelPlayerEquation)
averagePlayerLevel.addEventListener('change', otherPlayerEquation)
otherPlayerLevel.addEventListener('change', otherPlayerEquation)

const totalExpHighestOutput = d.querySelector('#totalExpHighestOutput') 
const baseExperienceHighestOutput = d.querySelector('#baseExperienceHighestOutput')
highestLevelOutput1 = d.querySelector('#highestLevelPlayerLevelOutput1') 
highestLevelOutput2 = d.querySelector('#highestLevelPlayerLevelOutput2')
averagePlayerOutput = d.querySelector('#averagePlayerLevelOutput')
nextHighestLevelOutput = d.querySelector('#nextHighestLevelOutput')

const baseExperienceHighestOutput2 = d.querySelector('#baseExperienceHighestOutput2')


const changeHighestLevelFormula = () => {
  const playerLevel = Number(highestPlayerLevel.value)
  const baseExperience = baseExperienceFunc(playerLevel)
  const nextHighestLevel = Number(nextHighestPlayerLevel.value)
  const averageLevel = Number(averagePlayerLevel.value)
  const base = (playerLevel / averageLevel)
  const expo = (playerLevel - nextHighestLevel + 1)
  const exponent = Math.pow(base, expo)
  const result = Math.round(baseExperience * exponent)
  totalExpHighestOutput.innerHTML = result.toLocaleString()
  baseExperienceHighestOutput.innerHTML = baseExperience.toLocaleString()
  baseExperienceHighestOutput2.innerHTML = baseExperience.toLocaleString()
  highestLevelOutput1.innerHTML = playerLevel
  highestLevelOutput2.innerHTML = playerLevel
  averagePlayerOutput.innerHTML = averageLevel
  nextHighestLevelOutput.innerHTML = nextHighestLevel
}

changeHighestLevelFormula()

highestPlayerLevel.addEventListener('change', changeHighestLevelFormula)
nextHighestPlayerLevel.addEventListener('change', changeHighestLevelFormula)
averagePlayerLevel.addEventListener('change', changeHighestLevelFormula)
!
999px

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