I don't think it can go down forever. There's some nonzero probability of quantum tunneling directly to the treasure before anyone else has a chance to do anything.
Also, I'm not sure what Kin is trying to say. Either there's a finite number of universes, and you'd just finish last, or she doesn't know what "infinity" means.
That assumes that the Goblins universe operates on some form of QM laws. Considering that this is a universe where beings have hit points and gain levels (and are explicitly aware of this) it seems that assuming that its physical laws have a quantum mechanical substrate would be unjustified without some direct evidence for it. (Something like "And in the next installment Big Ears will attempt to do the double slit experiment and see it if applies to photons produced by magical auras" seems unlikely to me. )
The current Goblins Comic is relevant.