“…In preclinical studies, second-order schedules of reinforcement have been shown to support robust and persistent operant responding for both natural and drug reinforcers (Alderson, Robbins, & Everitt, 2000;Goldberg, Kelleher, & Goldberg, 1981;Goldberg & Tang, 1977;Katz, 1979Katz, , 1980Mello et al, 1995). In addition, laboratory studies suggest that humans will learn to respond to a variety of reinforcers under second-order schedules (Lamb et al, 1991;Mello, Mendelson, Palmieri, Lex, & Teoh, 1990;Panlilio et al, 2005).In applying an operant schedule that has reliably been demonstrated to produce robust and prolonged responding with relatively low-cost prizes, the procedure used here may have important clinical benefits, reinforcing abstinence in a cost-effective manner. Our patients in the high-density contingent group received prizes worth on average only $286 during the 12-week intervention, less than the cost of commonly studied voucher-based CM procedures (Downey, Helmus, & Schuster, 2000;Higgins, Badger, & Budney, 2000;Piotrowski et al, 1999;Robles et al, 2000;Silverman et al, 1996).…”