Measurable triples and cardinal measurement |
| |
Authors: | James C Moore |
| |
Affiliation: | Purdue University, West Lafayette, Indiana 47907 USA |
| |
Abstract: | An axiom system is presented for a measurement structure incorporating homothetic and “Gorman polar form” weak orders as special cases. Representation theorems establish: (1) an operational method of constructing a numerical representation of such structures, and (2) that cardinal, rather than ordinal, measurement is obtained in that: (a) a class of elements is identified in the domain of the weak order which can play the same role as a yardstick in the measurement of length, and (b) the representation obtained is generally a ratio scale. Some simple special cases are also developed as are some implications for the theory of demand. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|