A company board has 4 people: one chair and three ordinary members. Each month they meet to discuss how much they will get paid for serving on the board. This is how the meetings work:
The chair proposes the new pay for all four people.
Only the three ordinary members vote. A member looks at how much their own pay would change (in percentage). They vote YES if their change is at least as large as the change of every other person (ties allowed). Otherwise they vote NO.
If at least two members vote YES, the proposal passes and the new pays take effect. Otherwise nothing changes and they can try again next month.
Is it possible, after some number of meetings, for the chair’s pay to become 10 times larger than it was at the start, while each of the orderinary member’s pay becomes 10 times smaller than their original pay? than at the start?