Algebra of Relations

S. N. Afriat

in Logic of Choice and Economic Theory

Published in print November 1987 | ISBN: 9780198284611
Published online November 2003 | e-ISBN: 9780191595844 | DOI:
 Algebra of Relations

Show Summary Details


This is the second of three chapters on general mathematics as applied to economics, and presents a treatment of the algebra of relations. Relations are defined as subsets of a Cartesian product, or predicates involving several objects, so that Boolean theory (as described in the last chapter) applies to them. The five sections of the chapter are: operations with [binary] relations; classification of (binary) relations; order and equivalence; order refinement; and representation theorems.

Keywords: algebra; binary relations; equivalence; mathematical economics; order; relations; representation theorems

Chapter.  9610 words. 

Subjects: Microeconomics

Full text: subscription required

How to subscribe Recommend to my Librarian

Buy this work at Oxford University Press »

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.