Define a function to calculate the Elo rating for each player

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Elo Rating

If a higher-rated player beats a lower-rated player, their rating will go up, while the loser's rating will go down. Improving Elo is relatively easy but usually comes at the cost of complexity.

Probability

text

New rating = Old rating + K * (outcome - expected outcome)

where:
- New rating is the updated rating after the game
- Old rating is the player's rating before the game
- K is a constant that determines the weight of the outcome on the rating
- Outcome is the actual result of the game (1 for a win, 0 for a loss, 0.5 for a draw)
- The expected outcome is the probability of the player winning, calculated using the following formula:

Define a function to calculate the Elo rating for each player

Use Cases

Shortcomings