One-lane bridges in New Zealand

Most of the highways in the South Island of New Zealand are two lanes.  They are fairly narrow, so bicyclists have it rough.  

The many bridges are mostly one-lane, and they have a nifty system to determine which driver goes first.  As you approach one of these, you will see ONE LANE BRIDGE painted on the asphalt.

Then, there will be two sets of arrows.  In this one, we have the long white one which means we have the right-of-way, and to proceed.

In another one, we have the long red arrow and a sign saying "Give way", so we let the other car go first.

We sit until the car crosses.

I don't know why, but I don't think this would work in the US.