Axioms for the Weighted Linear Model.
Abstract
An axiomatization is provided for the weighted linear model for the case defined by three conditions; (a) two and only two attributes; (b) sparse, finite alternatives and attribute levels; and (c) constant attribute-level scale values across all orderings. Theorems outlining necessary conditions, sufficient conditions, and uniqueness for this case are also presented. The axiomatization is compared to a similar effort by Luce (1980). It is hoped that the axiomatization can help in identifying and exploring areas of common ground and disagreement among various approaches to judgment and decision making. Implications of the results in three areas are discussed as examples: the identifiability of weights, the uniqueness of estimates of weights and scale values, and the effect of the range of attribute levels on weight. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1980
- Accession Number
- ADA088574
Entities
People
- Gary H. Mcclelland
Organizations
- University of Colorado Boulder