we are very frequent cruisers and have seen an increase in the number of 6-14 yo children now cruising RCL. This is due to RCL's change towards a more family oriented experience. Unfortunately, we have also seen a decrease in the adult supervision of these children. The security personnel choose to ignore the issue, even when the safety of others is involved. We've seen these young people running the hallways, stairways,elevators, public areas, and dining areas at all times of the day and night. We have seen young children run into adults in dining areas, elevators and stairways, causing minor to serious problems for the adults. Although we consider ourselves loyal to Royal, we are now seriously considering Celebrity and Holland America due to this issue. It's not an enjoyable vacation dodging others' children.Safety of all passengers should be the first concern of any cruise line. But we feel RCL is more interested in the profit margin.