Effective management - both by the manager and the managed - is about avoiding such zero sum games. Look for the win-win and do your best to deliver it.

This is fine advice, but the topic is the "manager's handbook" not other, better, management practices, so the advice is off-topic.

Did you read the section in question?

Advice about avoiding zero sum games isn't relevant to a discussion of a specific zero sum game prescribed by the manual we're discussing.