Recommended usage of std::unique_ptr

What are recommended uses of a std::unique_ptr as to specifically where, when, and how is it is best used?

I discovered:

About unique_ptr performances

I already know:

1. std::unique_ptr was developed in C++11 as a replacement for std::auto_ptr
2. That a std::unique_ptr has no reference counting and "owns" object it points to
3. There is no copy/assign with a std::unique_ptr
4. When I need a unique pointer, std::unique_ptr is the go to structure

What I would like to know:

1. Is using a std::unique_ptr ever preferable (other than uniqueness) to something
   else? What do I gain in this situation?
2. If so, under what circumstances and when?
3. Given the need for move semantics, would this make a std::unique_ptr less favorable
   overall?
4. If a std::shared_ptr would suffice for dynamic memory management in nearly every situation, why does having at my disposal a std::unique_ptr matter (again, other
   than uniqueness)?