Historically, there has been a lot of debate in Michigan about who has the right-of-way when traffic lights are out or broken. However, in 2018, this confusion was clarified and became law (MCL 257-649). Under the new law, an intersection with a non-working traffic light must be treated as a four-way stop.
This means that all drivers must, under the law:
Come to a full stop at the marked stop line before driving through the intersection
When there is no stop line, stop before entering the crosswalk on the nearer side of the intersection
If there is also no crosswalk, come to a complete stop before pulling out into the intersection
If a vehicle on your right enters the intersection around the same time you do, you must yield to that vehicle
You must also yield to any vehicle that puts you or others in immediate danger, even if you have the right of way
Continue to monitor for other vehicles as you travel through the intersection