Accession Number : AD0698320

Title :   HOMOGENEOUS FAMILIES OF SEMIORDERS AND THE THEORY OF PROBABILISTIC CONSISTENCY,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Roberts,Fred S.

Report Date : OCT 1969

Pagination or Media Count : 40

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)

Descriptors :   (*STOCHASTIC PROCESSES, *MATHEMATICAL LOGIC), (*DECISION MAKING, THEORY), PERFORMANCE(HUMAN), PSYCHOLOGICAL TESTS, PROBABILITY, THEORY

Subject Categories : Psychology
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE