Thanks for giving this great example. This works because in the total utilitarian case (and average utilitarian, and other more general possibilities) the payoff of one gnome depends on the action of the other, so they have to coordinate for maximum payoff. This effect doesn’t exist in any selfish case, which is what I was thinking about at the time. But this definitely shows that isomorphism can be more complicated than what I said.
Thanks for giving this great example. This works because in the total utilitarian case (and average utilitarian, and other more general possibilities) the payoff of one gnome depends on the action of the other, so they have to coordinate for maximum payoff. This effect doesn’t exist in any selfish case, which is what I was thinking about at the time. But this definitely shows that isomorphism can be more complicated than what I said.