Accession Number : AD0603460

Title :   THE RELATIONSHIP BETWEEN TRANSITIVE PREFERENCE AND THE STRUCTURE OF THE CHOICE SPACE,

Corporate Author : INSTITUTE FOR RESEARCH IN THE BEHAVIORAL ECONOMIC AND MANAGEMENT SCIENCES PURDUE UNIV LAFAYETTE IND

Personal Author(s) : Sonnenschein,Hugo

Report Date : JUL 1964

Pagination or Media Count : 29

Abstract : This paper is concerned with the axiomatic foundations of the theory of choice. The theorems that proved established the existence of a relationship between the transitivity of preference and the structure of certain sets in the choice space that are defined with respect to preference. The central results are contained in two theorems that state conditions under which the transitivity of I is sufficient to imply the transitivity of R. An improved version of Rader's lemma is used to make the proof of these theorems simpler, and a theorem that is intimately related to Uzawa's lemma is also proved.

Descriptors :   (*ECONOMICS, DECISION THEORY), (*TOPOLOGY, THEOREMS), (*DECISION THEORY, ECONOMICS), SET THEORY, FUNCTIONS(MATHEMATICS), COMMERCE, CONSUMPTION, DECISION MAKING, MANAGEMENT ENGINEERING

Distribution Statement : APPROVED FOR PUBLIC RELEASE