What other activities would you opt out of mammoth hunts to do, that wouldn't lead to the tribe exiling you?
The former is sharing, the latter is trading. And again, there's no evidence that trading ever occurred in that situation. As another commenter mentioned, in the life-or-death scarcity of hunter-gatherer communities, you'd be punished or exiled (which would mean death) for modern capitalist-style selfishness. There's no commodification.
Also, knowledge and skills were shared. There were no trade secrets, no patents. It would be have been extremely dangerous for one person to be the exclusive source of an essential good. Again, specialization is a luxury of abundance.
In a hunter-gatherer context, the men are hunting, fishing and fighting, while the women forage and manage the children.