Consider as a near-limiting case, imagine an engine that before the game began flipped a coin. On heads, it plays the game as Stockfish. On tails, it plays the game as Worstfish. What is this engine’s ELO?
I’m short of time to go into details but this should help illustrate why one should be careful treating ELO as a well defined space rather than a local approximation that’s empirically useful for computationally-limited players.
Consider as a near-limiting case, imagine an engine that before the game began flipped a coin. On heads, it plays the game as Stockfish. On tails, it plays the game as Worstfish. What is this engine’s ELO?
I’m short of time to go into details but this should help illustrate why one should be careful treating ELO as a well defined space rather than a local approximation that’s empirically useful for computationally-limited players.