Operator Theorems with Applications to Distributive Problems and Equilibrium Models

Operator Theorems with Applications to Distributive Problems and Equilibrium Models

by Antonio Villar

Paperback(Softcover reprint of the original 1st ed. 1992)

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Product Details

ISBN-13: 9783540550877
Publisher: Springer Berlin Heidelberg
Publication date: 03/25/1992
Series: Lecture Notes in Economics and Mathematical Systems , #377
Edition description: Softcover reprint of the original 1st ed. 1992
Pages: 160
Product dimensions: 6.69(w) x 9.61(h) x 0.02(d)

Table of Contents

First Part: Operator Theorems.- I. Operators in Euclidean Spaces: Eight Selected Problems.- I.1.- Introduction.- I.2.- Eight Selected Problems.- I.3.- Relationships between the Solvability of the Eight Selected Problems.- I.4.- Further References to the Literature.- I.5.- Final Remarks.- II. The Main Formal Results: Some Theorems on Operators in Euclidean Spaces.- II.1.- Introduction.- II.2.- Zk -Functions and k-fold Complementarity Problems.- II.3.- Two Theorems on Variational Inequalities for Set-Valued Mappings.- II.4.- Extensions and Interconnections.- Second Part: applications to distributive problems and Equilibrium Models.- III. Efficient Allocations with Consumption Externalities.- III.1- Introduction.- III.2.- The Basic Model: Distributing a Bundle of “Goods”.- III.3.- Egalitarian Allocations and Informational Frameworks.- III.4.- Final Remarks.- IV. Market Equilibrium with Nonconvex Technologies.- IV.1.- Introduction.- IV.2.- The Model.- IV.3.- Pricing Rules.- IV.4.- The Existence of Market Equilibrium.- V. Further Applications.- V.1.- Introduction.- V.2.- Egalitarian Allocations: The General Case.- V.3.- The Existence of Lindahl Equilibria in a Model with Several Public Goods and Price Externalities.- V.4.- Nonlinear Input-Output Models.- References.

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