On Fri, 23 May 2025, MK wrote:
Tim wrote:
MK wrote:
compare one ratio with another ratio.
There's a more direct way to investigate the
question as I've formulated it.
I don't know how to understand the word "direct"
in this context. Would you care to explain?
I formulated a question. You suggested a way to address my question
indirectly, by using the results you've already obtained, that were
designed to answer a different question that you had in mind. I suggested
an experiment to address my own question directly.
Fix some number of games, say 10, and define a
"session" to be 10 games ..... Play a session
..... Record who wins (meaning just who comes
out ahead at the end of the session; ignore
the margin of victory) ..... play 1000 sessions,
and record which bot wins. Then ask the question,
does the weaker bot win a greater fraction of
the 1000 sessions when the cube is in play?
Can you offer a reason for why this will be more
telling that playing sessions of 10,000 games?
It won't necessarily be "more telling," but it will answer a question that
many people will have. Namely, if I play a stronger opponent ten times in
a row, and I'm hoping to come out ahead, will my chances of doing so be
higher if we play with the cube?
Your prediction is that the answer is yes, right? Well, we can run the
experiment and find out.
Tim
