are you actually trying to apply the economics of scarcity to a currency that you can make in your basement?
this is less work than collecting seashells on the beach. sorry, never be a lack of doge to drive prices up due to scarcity.
If 100billion people all want a few doge coins each wouldnt that make it harder to find? If there are services accepting doge left right and center and people are keeping it to actually spend on items instead of just trading it like sheep wouldnt that also make it harder to lay your hands on?
Its not hard to find right now sure - but it may well be at some point.