To Alan. The primary reason for my LVA post about the logic of "quitting ahead" was for amusement, as I more or less knew it was impossible. If you would like to continue "the fun" please have at it. Just don't take it too seriously as I believe it is impossible. Here are your tasks:
1. Come up with a logical reason why anyone should not count their lifetime results in a calculation of whether or not they are "ahead".
2. Come up with a logical reason why it should be considered "quitting" if you intend to play again.
3. Then come up with a stable logic string where the A variable remains constant and the only difference is the amount won from the time you began playing.
A +$0 = Decision to play
A + $100 = Decision to "quit"
assuming a lifetime result of -$40,000, this would modify to:
A - $40,000 = Decision to play
A - $39,900 = Decision to "quit"
assuming a lifetime result of +$40,000, this would modify to:
A + $40,000 = Decision to play
A + $40,100 = Decision to "quit"
Note: If you choose to redefine "quitting" to incorporate resuming at some point in the future, you will need to explain what changes between the time you quit and left, and the time you returned and resumed.
To be logical you must keep the entire discussion free from any emotional or subjective variables. You don't get to use things like "fun" or phrases like, "Because I wanted to".
"A" can be any number of variables that lead up to your decision as long as they do not change. Therefore things like "fatigue" would have no bearing as your fatigue level would be considered the same for both decisions. Your are making a decision to leave or stay based solely on having just won $100 and coming to different conclusions, explain the logic.