Chapter

The Market

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/10.1093/0198284616.003.0020
 The Market

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This is the third of six chapters on the logic of price. It deals with the phenomenon of the market, and starts with a discourse on the ‘logic of price’ and a critique of the supply and demand theory. The considerations are taken further with reference to a very simple but none the less adequate linear market model, with an appeal to theorems about distribution matrices known from the theory of Markov processes; a further treatment, without the linearity, involves the KKM lemma. Global stability for a loosely defined tâtonnement is demonstrated from a convergence of infinite products of distribution matrices, analogous to the familiar convergence of powers. The nine sections of the chapter are: the logic of price; supply and demand; price formation; market functions; intercept and slope; linear markets; tâtonnement; continuous markets; and uniqueness and stability.

Keywords: continuous markets; distribution matrices; KKM lemma; linear market model; market; market functions; market models; Markov processes; price; supply and demand theory; tâtonnement

Chapter.  7052 words.  Illustrated.

Subjects: Microeconomics

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