You don't ever want to compete on price - or do you?
When I talk to business owners, I usually focus on looking for ways to increase their top line. Price is part of the formula in doing that.
We try not to compete on price - we usually compete on quality of service and often price is dictated by what the business' costs are to begin with.
Often, I tell businesses they should increase their price, and cut costs at the same time, if they can.
I've seen and read the generalisations: competing on price can be interpreted as a sign that a business might have lost control in some way to a competitor; competing on price will bring you disloyal customers, low margins and smaller profit with sleepless nights.