Just to be clear, the reason that governments increase the currency supply is that citizens will do it with or without them. The most fundamental currency is a promissory note, an I.O.U. Every time you write someone an IOU you inflate the supply of currency, because the holder of that IOU can pass that around to others in the form of payment. Instead of sending your bushel of apples to the shoemaker who made your shoes, you now have to send half to the bread baker, and half to the candle maker as that IOU was spent.
A currency that doesn't grow will be naturally replaced by one that does. This is my biggest problem with bitcoin.