My PO will charge me for my 1st polygraph and if I fail, increase the copay price for each failed test there after.  In this case I believe this is a 5th amendment violation.  As far as inducing and incriminating.   I met some men who lied just to avoid this financial penalties.   

Does any know of any case law on this specific topic?

Here are a couple of points I would like to make about trying to collect court ordered debt payments and requiring that parolees make co-payments on lie detector testing:  Our juvenile court used to lock up dead beat parents, usually fathers that did not make child support payments.  Some of the fathers were openly stiffing the court, and some of the fathers were unemployable or in jail and thus could not pay the court.  Long story short, a higher court ruled that juvenile court was running a debtor prison and compelled the JC to stop locking up non-paying parents. The second point I am making is that I had a colleague that had a specific sex-offender caseload.  He said it was the responsibility of his probationers and parolees to secure their own polygraphists.  Commonsense tells us that since the offenders were paying, the polygraphists were literally the employee of the offender.  Since I have never heard of an honest polygraphist, it is obvious that if the polygraphist wanted the money stream to continue, he/she would have to report that the offender was no longer offending