Six components, two scoring rules
Griffiths’s components model counts a component as present when it is rated 3 or higher on a 0–5 scale, then asks whether the profile is an addiction. A strict monothetic rule demands all six present; a looser polythetic rule demands only a chosen minimum. Set each component and the polythetic minimum, and watch the same profile change classification on the rule alone.
The I-PACE loop: escalation or check
In the I-PACE model each use episode that brings relief or gratification strengthens the cue-reactivity that led to it, while inhibitory control works against that growth. Raise the predisposing vulnerability or lower inhibitory control and the loop escalates toward a compulsive fixed point; strengthen control and the same loop is held in check. The curve iterates rn+1 = rn + gain·rn(1 − rn) − control·rn over successive episodes.
The cutoff makes the prevalence
Here is one fixed population of 1,000 people and their screening scores — nothing about them changes. All that moves is the cutoff above which a score is called “addiction.” Slide it and watch the headline prevalence swing. A strict cutoff recovers a few percent; a lenient one multiplies it several-fold, from the very same unchanged scores.