Homogeneous Families of Semiorders and the Theory of Probabilistic Consistency.

by Fred S. Roberts

Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback42 pages $23.00 $18.40 20% Web Discount

This work investigates various conditions making precise the observation that the preferences of an individual or group, although not absolutely consistent, are in a sense "probabilistically consistent." This Memorandum studies conditions of probabilistic consistency on a family of binary relations, which can be interpreted at several individuals' relations of preference or the preference relations of a particular individual obtained at different times. The conditions studied all mean more or less that the family of relations is a homogeneous or consistent family of semiorders. The main result is that almost all of the probabilistic consistency conditions studied are equivalent. The logical relations among all these conditions are described, and findings are compared with some recent work by Tversky and Russo. 42 pp. Ref.

This report is part of the RAND Corporation research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.