Operator Theorems with Applications to Distributive Problems and Equilibrium Models

ISBN-13: 9783540550877 / Angielski / Miękka / 1992 / 160 str.

Antonio Villar

Opis

This monograph deals with the analysis of some formal problems involving operators in Euclidean spaces and their applications to economic modelling. It contains a set of results on the solvability of complementarity problems and variational inequalities.

Spis treści

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.