The phrase to "design the rules of the game without specifying the actions of the players" refers to what type of manager?

It would be the Enabler type.

Explanation:

This type of managers tend to stay away from micromanaging all of their employees and prefers to let them figure things out by their own.

So, to manage their operations, they will set up the 'rules of the games'.

This will include things such as:

- The goals that needed to be achieved

- The deadline

- The thing that are banned and not allowed to do by the employees

After letting the employees know these things, the managers will step back and let the employees utilize their own creativity and working preference to achieve the goals. As long as those employees do not violate the requirements, the end work result will be accepted. (this is where the phrase 'without specifying the actions of the players' came from)