Definition of “fair” is similar to definition of “random”.

Both terms are very ambiguous, unless qualification is provided.

Random variables can have many distributions e.g. Poisson, Gaussian, uniform.

I don’t know names of categories of “fairness”, but clearly you and GP have different meanings for the same word.

On one end of the spectrum seems to be: “fair == same end result” -> effort and luck should not matter, not in the slightest.

On the other end of the same spectrum: “fair = same system/rules” -> you could have racketeered more people to get more money and bought a bigger gun to stay alive.

Both definitions of “fair” are equally valid, the choice of the definition is subjective.