Additive Representations on Rank-Ordered Sets II. The Topological Approach
Additive representation theory on subsets of Cartesian products has characteristics different from additive representation theory on full Cartesian products. This paper describes the difficulties that can arise on subsets. These difficulties have been underestimated in the literature. For the special case of rank-ordered subsets of Cartesian products the paper obtains characterizations of additive representations. These results can be applied in the modern rank-dependent approaches to decision making under risk/uncertainty, and to generalizations of the Gini index in the measurement of inequality.
|Keywords||Gini index, rank-ordered subsets, representation theory, risk, uncertainty|
|Persistent URL||dx.doi.org/10.1016/0304-4068(93)90027-I, hdl.handle.net/1765/23192|
Wakker, P.P.. (1993). Additive Representations on Rank-Ordered Sets II. The Topological Approach. Journal of Mathematical Economics, 22(1235), 1–26. doi:10.1016/0304-4068(93)90027-I