HOMOGENEOUS FAMILIES OF SEMIORDERS AND THE THEORY OF PROBABILISTIC CONSISTENCY,

Abstract

The 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.' The 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. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0698320

Entities

People

  • Fred S. Roberts

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Consistency
  • Observation

Fields of Study

  • Psychology

Readers

  • Mathematical Modeling and Probability Theory.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.