I consider a repeated divide-the-dollar voting model with rejections leading to the implementation of the previous period's allocation (see Kalandrakis [14]). I show that if proposals can be non-exhaustive, then equal division can be achieved as an absorbing steady state from any initial...

Most legislatures require the consent of only a simple majority to pass a proposal, so why donʼt legislative outcomes favor only a bare majority? We show that compromise can be achieved if legislators are neither too impatient nor too patient, and initial allocations are “not too unequal”....