There's an app called indrive [0] which does exactly this. You submit a bid, drivers can accept or propose a different price. Works well in my experience, thou

There's an app called indrive [0] which does exactly this. You submit a bid, drivers can accept or propose a different price. Works well in my experience, though I think largely only popular in Latin America at the moment. 0: https://en.wikipedia.org/wiki/InDrive https://en.wikipedia.org/wiki/InDrive