How a Negotiating Agent Society Out-Plans a Single Scheduler

Turn a five-way scheduling trade-off into a debate you can audit: five advocate agents argue, a charge-nurse referee rules, and the plan beats a single agent on the same scorer. The scariest scheduling failures are the confident ones. You hand one LLM a clinic's week — 56 patients, 43 slots, three nurses — and ask it to book the follow-ups. No errors. No complaints. It returns a clean, plausible schedule in a single pass. But is it a good plan, or did it quietly sacrifice something that…