I’ve been in hundreds of discussions like the one displayed in the picture below. Teams, departments, groups try push their interest and work on something that seems more important from their point of view.
The harder are such discussions more problems you have in terms of maturity, visibility and priorities understanding. Arguments will never end in such cases especially if you work with people with mathematical background.
The only way to make right decision is to take a look on things from perspective of company or global priorities.
There are two ways to do that:
- Old way: increasing hierarchy. Manager steps in and solves the problem
- New way: increasing transparency. Make priorities, problems visible
Sometimes you as person might want to mix these approaches as it depends on overall readiness of the company