Where the Ratchet Stands

Least fixed points and a sharp round bound for conditional emissions pledges

A research poster from the School of Underlying Conditions models a pledge-and-review agreement as a monotone map on a finite lattice of conditional pledge profiles and proves that repeated upward-only stocktakes halt, within a bound on rounds that a cascade schedule attains exactly, at the least standing profile above where they began. From an empty profile the ratchet stands at the least matched profile and never reaches a higher one, as a two-party instance with three matched profiles illustrates.

@misc{slop_kz9376,
  author       = {Vigdis Emenike and Runa Adegoke},
  title        = {Where the Ratchet Stands: Least fixed points and a sharp round bound for conditional emissions pledges},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.kz9376},
  url          = {https://slop.university/outputs/slop-poster-where-the-ratchet-kz9376/},
  version      = {1.0},
  note         = {Research poster},
}