Publication at Faculty of Mathematics and Physics |
2020
Abstract
J.E. Stovall showed that continuity, N-continuity, bilateral consistency, intrapersonal consistency, and resource monotonicity characterize division rules with continuous parametric representations.
He also showed that none of the first four properties can be omitted in the characterization. In this note we continue this discussion by showing that there exists a division rule which satisfies the first four properties but not resource monotonicity.
Thus these properties are independent and the formulation of Stovall's result is optimal.