After falling $24 million short of its forecast in its first year of privatization, the New Jersey Lottery could be subject to stronger rules on advertising and marketing of its games, a measure one North Jersey Assemblyman said would save the lottery managers money. The Assembly Tourism, Gaming and Arts Committee on Monday approved a bill, sponsored by Maywood Democrat Tim Eustace, to require the Division of the State Lottery to work with other states with multi-state lottery games to share their advertising and marketing expenses.