Staff Supply/Demand
Some suggestions to solve this:
1) Increase number of staff generated so that supply can meet demand
2) Decrease the negative impact of not having an amazing coach/PR manager so that it isn't necessary to have a top tier one to keep up with other players
3) Increase player wages (although this could make it even more difficult for new players to catch up to older players unless new revenue sources are created or existing ones are buffed)