There's also a different kind of coordination problem.
The incentives of an organization - or at least of a corporation - are to make money and to continue to exist and to enrich and empower the people who control it. But employees' incentives are usually pretty different. Nurses usually get into nursing because they, at least to some extent, want to help people. Engineers get into engineering because they, at least to some extent, want to build something really good. Teachers get into teaching because they want kids to learn. And so on.
If you're the principal of a school, and your goal is for a teacher to teach, you don't have a coordination problem. Most teachers want to do that. But if your goal is for teachers to maximize standardized test scores, or to minimize the number of frustrated parent calls, etc, you do have a coordination problem, because your goals are misaligned with your employees'.
If you're the CEO of a tech company, and your goal is for your engineers to build good software, you don't have a coordination problem. Your engineers want to do that. But if your goal is to maximize conversions, or to ship faster, or to raise money, etc., you do have a coordination problem.
If you run a hospital, and your goal is for your nurses to care for patients, you don't have a coordination problem. But if your goal is to maximize profits, then you do.
It's usually these kinds of coordination problems that managers are, effectively, in charge of enforcing. Their job is not to help individual employees achieve individual employees' collective goals, it's to make employees feel (sometimes truthfully) like their goals are aligned with the organizational goals, or to use the threat of loss of income or work to force them into line.