Orderable Set Functions and Continuity. III: Orderability and Absolute Continuity
Robert J. Aumann, Uriel G. Rothblum · SIAM Journal on Control and Optimization · 1977
The concepts of orderability and absolute continuity of set functions were introduced by Aumann and Shapley (1974). They showed that every absolutely continuous set function is orderable. The main result of this paper is to show that the converse is false.