Considering there is both a limited number of spots & a timer on almost all games, if it's not a fight to the death, and is any sort of frogger like map, race or red light green light should all be infinite lives. The only thing you do when you limit lives in these games is limit the amount of money that can be earned for players dying.
I'll state again though, for everything BUT battle royales like the Squid Games, Carousel, Sky Squid, etc... Only games that require crossing a finish line are what I mean.