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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

(p.499) VI.2 Algebra of Relations
Logic of Choice and Economic Theory

S. N. Afriat

Oxford University Press

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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