What kind of information would you need to bring to justify a reduction in property value?

It has been listed for 64 days and it started at $119K, but since has had 4 price reductions.

Even when subsequent neighbors had their speakers on the carpeted floor, the noise coming through the ceiling was much less (and tolerable).I keep a supply of noise-reduction ear plugs on hand. 

Offer a reduction in the judgement if they pay X amount in 15-30 days.

Can I fix the xxx____ for a reduction in the rent. 

Their case would just be too weak.But, to be super safe, just adding the question, "Does anyone in the household anticipate a reduction in earnings during the lease?"  

Things like property improvements, energy efficiency, tax reductions, various economies of scale, reducing insurance premiums...and if you've done all those things?

Then, put something in writing that is a receipt, but that also tells him no more work is to be done, and no more rent reductions will be approved, is my advice.  

If the problem is really bad, I would be willing to say consider a "car wash allowance" of say $10 a week which translates to say $40 a month of rent reduction...to me is easier than a car frame or self car washing.Speaking of particular tenants, I once had one who complained that her cell reception while inside is 2 bars instead of 4 bars as if this is something I have any control over. 

See if they would prefer a rent reduction to hang in there while repairs are made or see if they prefer to be put up for a few days.