To encourage local businesses accept Bitcoin of course we must introduce Bitcoin and Bitcoin payment system with them. But it would be difficult if the person does not support or dubious Bitcoin as a payment that is profitable. With improved security, ease of transaction, and the development of Bitcoin at this time I'm sure they would be interested if knew it and make local businesses start using Bitcoin.
But bitcoin already down it, as you said. Already bitcoin give us full of security, and it is easy to transaction, but matter is that mostly person who have no knowledge about bitcoin they have fear to invest on it. But now very fast time is going to chance and everyday people like to invest on bitcoin, so it is also give us chance to encourage the local business that they accept bitcoin in payment system.