This isn't how fees work. Fees are based purely on supply and demand. The payer sets their fee level when they create the transaction, and it's up to the miners which transactions they will include. Since there is always an excess of transactions, the miners typically select transactions to maximise their payoff.
If miners were to "lower their fees", they'd be accepting low-fee transactions and excluding high-fee transactions, which makes no sense for anybody. The miners would be getting less money than they could, and the people paying high fees don't even get any better service for it.