A Static Microeconomic Model of Pure Competition

by Christoph Klein

Overview

This book studies a large economy. It deals with a static microeconomic model of an exchange market with pure competition. Instead of the sigma-additive theory, the finitely additive theory, the general Jordan content and the general Riemann integration are used respectively. By a specialized probability model, the author obtains a precise interpretation strictly based on microeconomic methods of measurement. In particular, the meaning of an agent and of a coalition is explained and the Core-Walras equivalence is deduced. The author elaborates an elementary representation by broken continuous functions and the classical Riemann integral. A conjecture concerning the reduction of the dynamical case onto generalized differential equations is added.

Product Details

ISBN-13:	9783540193586
Publisher:	Springer Berlin Heidelberg
Publication date:	06/24/1988
Series:	Lecture Notes in Economics and Mathematical Systems , #306
Edition description:	Softcover reprint of the original 1st ed. 1988
Pages:	139
Product dimensions:	6.69(w) x 9.61(h) x 0.01(d)

Table of Contents

I. The Deterministic Grounding of the Model.- 1. The Observation of a Set of Agents.- 2. The Observation of a Market.- II. The Replica Model.- 3. The Deterministic Replica Model.- 4. The Probabilistic Replica Model.- III. Core and Walras Allocations.- 5. The Definition of the Core.- 6. Walras Allocations.- 7. Core Versus Walras Allocations.- Al Boolean Algebras and Stone Spaces.- A.1.1 Boolean Algebras.- A.1.2 Stone Spaces.- A.1.3 Measure Theoretic Tools.- A2 The Riemann Darboux Integration.- A.2.1 The Generalized Jordan Content.- A.2.2 The Generalized Riemann Integral.- A3 Some Proofs.- A.3.1 Proofs Concerning Chapter I.- A.3.2 A Proof Concerning Chapter III.- A4 The Elementary Model.- A.4.1 The Elementary Representation.- A.4.2 A Final Comment.- References.