The competition is heating up for plaintiffs firms jostling to win the lead counsel spot in litigation inspired by Michael Lewis’s best-selling book on high-frequency trading, “Flash Boys.”

Three prominent plaintiffs firms—Robbins Geller Rudman & Dowd; Motley Rice; and Labaton Sucharow—argued in a motion filed Tuesday that a judge should consolidate four class actions against the high-frequency trading industry and appoint them co-lead counsel. Their clients include the Plumbers and Pipefitters National Pension Fund and the City of Providence, R.I.