Chapter

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: http://dx.doi.org/10.1093/0198284616.003.0030
 Algebra of Relations

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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

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