I don’t think know if that applies to this scenario. In this game, the player is always in the lead until they aren’t, but I don’t see how that works in their favor.
Comment on Is there a house advantage in a "double-or-nothing" coin flip game?
solrize@lemmy.world 3 weeks ago
If both players have infinite bankrolls, but only one of them is allowed to stop the game once they are ahead, the one with the option of stopping has an advantage. They can play until they are in the lead, then stop. The reason this doesn’t work in real life is that real bankrolls aren’t infinite.
See also: en.wikipedia.org/wiki/Gambler's_ruin
HandwovenConsensus@lemm.ee 3 weeks ago
solrize@lemmy.world 3 weeks ago
Oh wait you mean the player has to stop if they lose? That’s different.
HandwovenConsensus@lemm.ee 3 weeks ago
Well, they have to start over with a $1 bet.
rimu@piefed.social 3 weeks ago
And, in real life, the house has a much larger bankroll.