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Originally posted by: snidely333
This pretty much nails it.
Originally posted by: snidely333
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Originally posted by: arcimedes
This is one of those catch-22 type situation. Once a player decides to play a negative game then any win-goal decision to quit is 180° opposite of their decision to start. Hence, it can not be logical in an absolute sense.
However, one can see where accepting a win after playing for awhile is not that difficult to understand. The player has received a certain amount of entertainment value. That value has now been "banked". So, the situation at this time could be considered different. By leaving the player has received entertainment (original goal) and money (extra added benefit). If they continue to play the "entertainment goal" will not increase enough to counter the potential loss of the "added benefit".
This pretty much nails it.
I can find no obvious flaw in the logic, but it does not come from a person who employs this logic. I wanted to hear the word on the street and talk to the boys in the trenches to see why they think they do what they do. I wasn't going for an outside opinion. Oh, but thank you Arcimedes for your insight anyway. I think your evaluation could well be spot on, I'd just like to hear more personal feelings on the subject.
I believe Arcimedes answer does satisfy the conditions of the original request for a logical formula for deciding when to stop playing as a result of being up $100. I must also say I'm surprised as I did not think it was solvable.