by agentcom on Mon May 20, 2013 2:07 am
Also consider that the problem that you and everybody else here is "solving" is how to maximize points at the end of X number of games. Every example listed here assumes some small number of games and the difference between:
LLWWW
WLWLW
WWWLL
But this is not really that useful of a problem to solve, though their analysis is most likely correct. You will play many, many more games after this little snapshot, so really you are deciding between ...
LLWWW ... XXXXXXX
WLWLWL ... XXXXXX
WWWLL ... XXXXXX
If you continue this strategy, you will simply be grouping your wins and losses, with the odd result scattered in
LLWWW...LLLWWWWLWLLLWWWLLWWLLLWWWLW (putting losses first)
WLWLW...LWLWLWWLWLWLWLWLWLWLWLWLWLW (somewhat random)
WWWLL...WWWWLLLWLWWWLLLWWLLWWWLLLWL (putting wins first)
I doubt that you would gain much, if any, long term advantage over the course of those games, although I would like to see someone's analysis of the situation. (To tired to do it myself.) (Also, maybe should look at what happens when one additional loss is added to the end of each string AND SEPARATELY what happens when one addition win is added.)