If such transfer of resources is allowed, your share of negentropy must depend only on your contribution, the total contribution and the number of players. If we further assume that zero contribution implies zero share, it's straightforward to prove (by division in half, etc.) that proportional allocation is the only possible scheme.

One difficulty with proportional allocation is deciding how to measure contributions. Do you divide proportionately to mass contributed, or do you divide proportionately to negentropy contributed?