The same can be seen in any intersection with red lights, as soon as the red lights don't work. You just crawl into the intersection, trying to take turns. It works.
If there's no working traffic lights and no stop signs, a different set of rules come into play.
The normal solution (used e.g. in Sweden) is to simply add a supplemental sign saying "multi-way stop" under the stop sign. https://d3h4jqp4au0mzy.cloudfront.net/wp-content/uploads/201...
Or it's a multi-way-stop (which is rare) in which case all roads have the supplemental sign. None of the roads have priority and all drivers can do to resolve deadlocks is be careful. All the supplemental sign does is inform drivers that OTHER drivers will also stop. It just removes the ambiguity we talked about above - where a driver at a stop sign might otherwise think he can't drive until the intersection is completely clear.
In a 4 way the same priority rules apply thatwould have applied if there were no stop signs. Obviously the signs have to make clear to everyone that it is a 4 way stop, so that you don't have 4 cars all thinkning they are in a 2 way stop. This is usually done with an additional sign under the STOP sign. After that it just works like any no-stop intersection, you yield to e.g. the car to the right (Sweden) or the first car to arrive (US) etc.