Good call, I was pretty sure that there weren’t any Nash equilibria other than constant slacking, but everyone using group 4′s strategy is also a Nash equilibrium, as is everyone hunting with those with reputation is exactly equal to their own. This makes group 4 considerably harder to exploit, although it is possible in most likely distributions of players if you know it well enough. As you say, group 4 is less foolish than the slackers if there are enough of them. I still think that in practice, strategies that could be part of a Nash equilibrium won’t win, because their success relies on having many identical copies of them.
Good call, I was pretty sure that there weren’t any Nash equilibria other than constant slacking, but everyone using group 4′s strategy is also a Nash equilibrium, as is everyone hunting with those with reputation is exactly equal to their own. This makes group 4 considerably harder to exploit, although it is possible in most likely distributions of players if you know it well enough. As you say, group 4 is less foolish than the slackers if there are enough of them. I still think that in practice, strategies that could be part of a Nash equilibrium won’t win, because their success relies on having many identical copies of them.