building on the foundation of my 1v1 TB Tournament Ranking, I can now present to you the revamped 1v1 NP2 World Rankings! It incorporates an improved (now daily) rating methodology, shows the Glicko Pi Rating and GXE, and offers a new layout including flags* for the players.
The Top 28 players and seven runner-ups or recent winners are shown in the weekly rankings posted below. Players with less than 18% rating reliability (RD above 287) are excluded (inactive).
My VBA code for the calculations is a modification of the Glicko system (link to Dr. Mark Glickman’s paper).
Click for more details
Glicko Pi Rating (GPR) = r - π * RD + 600
i.e., the true strength (rating) of a player is higher than the respective value in the ranking table minus 600 with 99.9% certainty based on the system methodology, and every new player starts at 1000 GPR
Each player has two values that determine their Glicko Pi Rating at any point:
true strength (rating) predictor
every new player starts at 1500
changes when player participates in a game, based on various factors (e.g., RD) and based on other game results if the player is “active” (average r is fixed at 1500)
every new player starts at 350
decreases when player is involved in a game, based on various factors
increases for player each day, up to a maximum of 350 (based on c = π^2)
forfeited games do not have an effect on RD
(Rating) Reliability = (350 - RD) / 350
Glicko X-Act Estimate (GXE) = 10000 / (1 + 10^(((1500 - r) * π / sqrt(3 * ln(10)^2 * RD^2 + 2500 * (64 * π^2 + 147 * ln(10)^2)))))) / 10000
i.e., the estimated percentage that a player has of winning a battle against a random opponent (more information here)
Only official tournament games (with pre-determined matchmaking) are considered, friendly games are not. Results are weighted in the calculation:
- 140% for standard games (LLL and epic tournament series)
- 100% for 28/7 style games with a clear conclusion (Flying Swiss)
- 75% for 28/7 style games that hit the time limit without a clear conclusion (Flying Swiss)
- 70% for forfeited standard games (LLL and epic tournament series)
- 50% for forfeited 28/7 style games (Flying Swiss)
Let me know if you have any feedback, questions, or suggestions for improvements. Also, feel free to discuss the rankings!
*) If you are a former or current NP2 1v1 player and haven’t yet, you can pick any flag from the collection at https://flagicons.lipis.dev/ and send me an according note for it to be shown next to your name. It’s voluntary, but would be highly appreciated!