Studies in Resource Allocation Processes

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Format: Paperback
Pub. Date: 2007-02-26
Publisher(s): Cambridge University Press
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Summary

One of the central questions of economics relates to the coordination of individual units within a large organization to achieve the central objectives of that organization. This book examines the problems involved in allocating resources in an economic system where decision-making is decentralized into the hands of individuals and individual enterprises. The decisions made by these economic agents must be coordinated because the input decisions of some must eventually equal the output decisions of others. Coordination arises naturally out of the mathematical theory of optimization but there is still the question of how it can be achieved in practice with dispersed knowledge. The essays here explore the many facets of this problem. Nine papers are grouped under the title 'Economies with a single maximand'. They include papers on static and dynamic optimization, decentralization within firms, and nonconvexities in optimizing problems. Fourteen papers are concerned with 'Economies with multiple objectives'. Among the topics covered here are stability of competitive equilibrium, stability in oligopology, and dynamic shortages. The final part of the book includes three papers on informational efficiency and informationally decentralized systems. Leonid Hurwitcz is the Nobel Prize Winner 2007 for The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel, along with colleagues Eric Maskin and Roger Myerson, for his work on the effectiveness of markets.

Table of Contents

Preface
Acknowledgments for reprinted articles
General Introduction: the design of resource allocation mechanisms
Economies with a Single Maximand
General survey: decentralization and computation in resource allocation
Static characterization: constraint qualifications in maximization problems
Static characterization: quasi-concave programming
Decentralization within firms: optimization, decentralization, and internal pricing in business firms
Dynamic characterization: gradient methods for constrained maxima
The handling of nonconvexities: reduction of constrained maxima to saddle-point problems
The handling of nonconvexities: a general saddle-point result for constrained optimization
The handling of nonconvexities: convexity of asymptotic average production possibility sets
Economies with Multiple Objectives
Stability of competitive equilibrium: on the stability of competitive equilibrium I
Stability of competitive equilibrium: on the stability of competitive equilibrium II
Stability of competitive equilibrium: on the stability of competitive equilibrium II: postscript
Stability of competitive equilibrium: some remarks on the equilibria of economic systems
Competitive stability under weak gross substitutability: the -Euclidean distance- approach
Competitive stability under weak gross substitutability: nonlinear price adjustment and adaptive expectations
Stability in oligopoly: stability of the gradient process in n-person games
Studies in local stability: a theorem on expectations and the stability of equilibrium
Studies in local stability: a note on expectations and stability
Studies in local stability: a note on dynamic stability
Studies in local stability: stability independent of adjustment speed
Dynamic shortages: dynamic shortages and price rises: the engineer-scientist case
Dynamic shortages: price-quantity adjustments in multiple markets with rising demands
Foundations of price dynamics: toward a theory of price adjustment
General Characterizations of Allocation Processes: Optimality and information efficiency in resource allocation processes
On the dimensional requirements of informationally decentralized Pareto-satisfactory processes
On informationally decentralized systems
Appendix: an optimality criterion for decision-making under ignorance
Author index
Subject index
Index of examples
Table of Contents provided by Publisher. All Rights Reserved.

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