- Telling: Make a decision and just tell the team.
- Selling: Make a decision, explain why you made that decision, then tell them to do it.
- Testing: Identify a problem, present your solution and ask for the team's comments.
- Consulting: Identify the problem, tell them you don't have a solution and ask them for their suggestions.
- Cocreating: Identify the problem, then come to a decision as a team.
One of the factors that may influence the style you want to use is maturity of the team. In very mature and homogeneous teams consulting or cocreating might be very fast approaches. On other teams different factions may simply not converge even if you give the team a generous time frame.
Again, it pays of to adapt to the situation at hand. The more of these styles you can easily work the easier it will be to select the most appropriate one, and still get decisions made both fast and properly.