The splitting team earnings by vote problem

This is a classical problem with no single approach. One can approach the problem as a bargaining problem. For that just google 'Rubinstein bargaining' (two people) or 'Baron Ferejohn bargaining in legislatures' (multiple people).

When it comes to voting. Any division is Pareto efficient (there does not exist other division that all would weakly prefer and some would strictly prefer) and hence any division is a Condorcet winner (there does not exist other division that would beat a division in a binary vote).

Can you be more specific with your question?