Why is MMR called Elo? A Deep Dive into Competitive Gaming‘s Rating Systems

As a tech geek and avid gamer, I‘ve always been fascinated by the rating systems used in competitive video games for matchmaking and leaderboards. On the surface, it‘s just a number that represents skill. But under the hood, there‘s a whole world of fascinating math powering every match!

In this deep dive, we‘ll explore the history of the Elo rating system, how modern games adapt it for their matchmaking rankings (MMR), and why Elo remains so influential. Strap in for a wild ride into the competitive gaming algorithms and statistics that make fair, balanced matches possible!

A History of the Elo Rating System

First though, let‘s start at the beginning. The Elo rating system was invented in 1960 by Arpad Elo, a physics professor and active chess player. Elo devised a statistical method for calculating relative skill levels between chess players based on game outcomes.

Here was his key insight – in a competitive game with evenly matched players, you could predict the expected outcomes. Over many games, the ratings would converge to accurately represent each player‘s ability.

Let‘s quickly see how the math works. Before a game, each player has a rating (Ra and Rb). Using those ratings, you calculate an expected score (Ea and Eb) for each player. The higher rated player gets a higher expected score.

Ea = 1 / (1 + 10 ^ ((Rb - Ra) / 400)) 
Eb = 1 - Ea

After the game finishes, the ratings are updated based on the actual scores. If you exceed expectations (by winning as the lower rated player), your rating increases more. The updated ratings better reflect the relative skills.

Elo devised this elegant way to statistically track skill levels by playing hundreds of chess matches in clubs and tournaments. Soon after, his rating method was adopted by the World Chess Federation to replace a subjective chess rating system.

Today, Elo remains central to competitive chess. The rating thresholds for titles like Grandmaster (2500+) are based on Elo. But chess was just the start…

Adapting Elo Systems for Video Games

Fast forward to modern competitive video games, which faced a similar challenge – how do we match players of similar skill? Enter the Elo rating system.

However, most games don‘t use pure Elo. They adapted the system with additional factors like uncertainty, streaks, seasonal resets and more. Let‘s look at some variations:

  • League of Legends uses a heavily modified Elo system for ranked matches. They add "Promotion" mini-games between tier levels.

  • Dota 2 also uses a seasonal ranking system inspired by Elo. Uncertainty and volatility factors get introduced.

  • Overwatch competitive mode employs a proprietary Elo variant called TrueSkill. It was developed by Microsoft researchers.

  • CS:GO matchmaking uses the Glicko-2 rating model as an advancement of the original Elo formula.

The core concept remains – you gain rating points for exceeding expected match performances. So even when the math changes, the term "Elo" sticks around.

What Do Elo Ratings Mean for Players?

Now you know Elo and MMR refer to in-game matchmaking ratings. But what do those numbers actually represent for players? Here are some key takeaways:

  • Your rating represents your skill level relative to other players. Higher is better!

  • Matchmaking uses ratings to pair you with equally skilled opponents. This promotes fair play.

  • Winning against higher rated players increases your rating more rapidly.

  • The system gets more confident in your "true rating" as you play more games.

  • Significant rating gaps like 500+ points reflect a meaningful skill difference between players. If I‘m 1600 and you‘re 2100, you‘re probably going to wreck me!

  • Elo ratings are zero-sum – rating points gained by one player are lost by another. It keeps the overall distribution centered.

Let‘s visualize how this translates into percentiles with a sample distribution:

Rating Percentile Skill Level
2400+ 99th Professional
2000-2399 94th Expert
1600-1999 68th Good
1200-1599 36th Fair
800-1199 12th Beginner
<800 <6th Novice

As you can see, ratings provide context on where you stand in the overall player base. But remember, even pro players started somewhere! Your rating will improve naturally as you learn over time.

Rating Behaviors from a Gamer‘s Perspective

Now that we‘ve covered the technical side, I wanted to share some thoughts from my personal gaming experience:

  • Don‘t stress about ratings – play to improve, not just for points. MMR anxiety is real, but comes at the cost of fun!

  • Trust the system – your rating represents your current ability even if it seems off. Focus on consistency rather than questioning the algorithms.

  • Play lots of games – high volume is the fastest way to settle at an accurate rating through probability. No shortcuts here!

  • Review your gameplay – watch replays of losses critically. Look for patterns causing mistakes to focus training.

  • Focus on fundamentals – from map awareness to CS, work on foundational skills. Rating will improve as you master the basics.

  • Play with friends – coordinating as a premade mitigates randomness from solo matchmaking. Enjoy the journey together!

While there‘s always room for rating system improvements, keeping the right mentality is crucial to growth as a player. Let me know if these tips help along your competitive gaming journey!

Why Elo Systems Remain Core to Competitive Gaming

Decades after its inception for chess rankings, Elo remains central to competitive gaming. Its staying power stems from some key strengths:

  • Accurate skill measurement – Elo provides a statistically sound way to quantify player abilities based on game outcomes. No more guesses!

  • Matchmaking – Pairing similarly skilled players is critical for fair competition. Elo enables this through reliable rating differentials.

  • Progression tracking – Granular rating changes reflect improvement over time better than tier-based ladders alone.

  • Consistency – Elo provides comparable measurements of relative skill across the player base in a zero-sum framework.

  • Transparency – Displaying public MMRs provides helpful context and goals for players seeking to climb the ladder.

Of course, no system is perfect. Boosting, smurfing, and randomness can still affect matchmaking quality. But innovations continue to strengthen Elo‘s statistical foundations.

Ultimately, Elo struck video game gold by quantifying the concept of skill. Today, it powers competitive experiences for tens of millions of passionate gamers. So next time you queue up for a ranked match, think of Arpad Elo and his legacy in gaming!

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