[memtet]

Yes, exactly, this is the reason the game (a random walk) takes forever to "end", because the kids try to get more than their share, lose some in the process, then try to get back what they had and realize they're satisfied with what they had initially, then stop playing. All the kids are happy, no kids are crying. It's not Poker where one person ends up cleaning everyone else out, that's not the point. It's to teach the dictum that "Poverty is a wheel that revolves in the world."