^ plus rejecting the first bet even if your total wealth was somewhat different
This assumption directly contradicts Kelly betting. The Kelly bettor will accept the win $110/lose $100 bet if their wealth is at least $2200, and not otherwise. Someone more conservative than to bet the full Kelly will require a correspondingly larger bankroll before playing.
This assumption directly contradicts Kelly betting. The Kelly bettor will accept the win $110/lose $100 bet if their wealth is at least $2200, and not otherwise. Someone more conservative than to bet the full Kelly will require a correspondingly larger bankroll before playing.