“Assume the worst plausible case is the actual case.”
I offer you 1 coin and take 99 for myself. **Defense:** Assuming the worst case, you're irrational or spiteful—willing to reject any offer and destroy both our payoffs. Under this assumption, I must offer you the minimum to avoid rejection: just enough to make acceptance marginally preferable to nothing. One coin beats zero coins, so even a spite-prone opponent rationally accepts. If I offered less, you'd reject out of principle, costing us both everything. This isn't greed—it's game theory under your assumption that people act pessimistically. The worst case requires I extract maximum value while still incentivizing acceptance.