Earlier quoted context omitted.
not to go all "blame the victim" here, but one thing I noticed culturally in NYC is that traffic lights are a suggestion to pedestrians. If there isn't a car directly in front of them, they'll cross the street. Compare to LA, where people tend to wait for the signal to cross pretty consistently. That said, LA still has horrible pedestrian death statistics so who knows how much that matters.
If people don’t follow traffic signals it is the fault of the signals. That is, if everybody makes the same mistake, it is no individuals fault, but a fault in the system. To give a more concrete example. Say a traffic light has a pedestrian light attached. It will only allow pedestrian crossings when it does not stop the flow of vehicular traffic (say every 3-5 min, and only for 20 seconds at a time). But it does so…
Who says it's a mistake?
It has nothing to do with the signals and everything to do with the pedestrians. If you actually want people to respect the signals, place traffic police on every corner in Manhattan and issue jaywalking tickets to absolutely everyone, for months on end, and you'll see it. (You'll also see a backlash.)
Other than that, it's not happening.