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Logic of Choice and Economic Theory$
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S. N. Afriat

Print publication date: 1987

Print ISBN-13: 9780198284611

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198284616.001.0001

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Algebra of Relations

Algebra of Relations

Chapter:
(p.499) VI.2 Algebra of Relations
Source:
Logic of Choice and Economic Theory
Author(s):

S. N. Afriat

Publisher:
Oxford University Press
DOI:10.1093/0198284616.003.0030

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

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