Can I allow certain people to add/edit pages within a parent?

I’m planning on building a site with different sections, for example:

• Training
• Conferences
• Ideas

A different person will be in charge of editing and managing each section. They will be able to edit the parent page and add, edit and delete sub-pages within each section. I don’t want each person to be able to add/edit/delete pages from a section that they don’t manage.

As far as I can tell if I give each person an “editor” role then they will be able to add/edit/delete pages from each section. If I give them an author role, then they won’t be able to add pages at all.

Is there a way to achieve my goal from within WordPress? If not, will I need to use a plugin, and if so, can you recommend one that will help?