Surely the Catch 22 of the stock market, because the more shorts you "run" out of their current positions, the bigger the vacuum or void you create for NEW shorts. The higher you "run" valuations in relationship to price via the short squeeze, the more new shorts you invite or entice to the DARK SIDE...
IMHO, if you really want to run the shorts out of the market, albeit temporarily, you create a situation whereby there is not any value in shorting by equalizing, as much as possible, the current price and valuation.
that in itself will leave the shorts a tighter profit box to get in and out and SHOULD entice them to lighten positions and maybe even go long...
just a thought
M