Countries try to print money, cut rates and generally pass the "deflationary parcel" around.
Unfortunately, this is a game which no country can win.
Yes, but the Swedish or the Danes (or any of those periphery nations running an implicit peg) cannot expand their balance sheet in the same manner that the EU can, not even close. So, continually trying to devalue their currency by bond buying/further NIRP/other means, puts more and more strain on their economy. Eventually their [imports] get so [expensive] or confidence drains so much that they need to let their currency appreciate or risk a proper bust up.
edit
that's just as true for the EU and the US as it is to the swedes and danes.
all the money printing reallocates resources differently than they would have been allocated in a free market.
this causes the wrong things to be produced in the wrong quantities and the price of the things people actually want goes up.
how long until everything gets so expensive relative to income that the pitchforks start coming out? no one knows for sure.