You often hear players refer to others as half as good as me, while they have the same Elo. Is there a formula to measure this? It must take in account that being half as good as Carlsen, for example, is somewhere near a 2600 GM level, while half as good as a club player, is at 1000 level.
What I think that being n times weaker than a player is.
If an n times weaker player plays the player he is n times weaker, it means that if they played an infinite match, the weaker player should get n points, while the stronger player n*x.
Any other ideas? Are there any papers written on this? If my idea were to be true, is there a formula to calculate the Elo difference?