You cannot reason with a tiger when your head is in its mouth
Reason is only available to parties who can still walk away. Persuasion, negotiation, appeals to mutual interest: all of it assumes both sides retain options. Once you are inside the other party's power, the same words come out of your mouth but they have changed species. What looks like negotiation from inside the tiger's mouth is pleading. Leverage is not a bonus on top of a good argument. It is the precondition for arguments mattering at all.
Churchill's version came in May 1940, when Halifax wanted to explore terms with Hitler through Mussolini. The case for talks sounded reasonable: war is costly, maybe a deal preserves something. Churchill's counter was that the reasonableness was an illusion of timing. With France collapsing and invasion expected, Britain would not be negotiating, it would be receiving terms. The argument only worked while the head was still outside.
The pattern is everywhere smaller. An employee asking for a raise with no outside offer. A company renegotiating with the sole vendor its systems already run on. In each case the asking happens after the leverage expired, and the polite fiction that it is still a conversation hides what it has become.
[[Decisions require ergodicity to succeed over time]] names the deep version: some positions are absorbing, and from inside them there is no iterated game left to play. The practical discipline is unglamorous. Date your leverage. Negotiate while walking away is still true, not just technically possible.
Source claim: Persuasion presupposes the power to walk away, so negotiation attempted from inside an adversary's power is pleading wearing negotiation's clothes.