Interval choice: Classic and general cases
This paper surveys known results on interval choice, and presents new results on biorders. A binary relation \(P\) is a biorder if and only if there exist functions \(f\) and \(g\) such that \(xPy\) if and only if \(f(x)> g(y)\). A complete characterization of biorders in terms of numerical representation and rationality conditions is given. Biorders give a particularly nice interpretation of interval choice with non-negative error functions. The link between biorders and semiorders remains to be explored.
scientific article; zbMATH DE number 562721
scientific article