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At a Glance
356 Pages
22.86 x 15.24 x 2.39
Hardcover
RRP $212.95
$206.75
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Acknowledgements | p. ix |
Introduction | p. 1 |
Mechanisms and Mechanism Design | p. 14 |
Introduction | p. 14 |
Mechanisms and Design | p. 18 |
Environments and Goal Functions | p. 25 |
Mechanisms: Message Exchange Processes and Game Forms | p. 26 |
Initial Dispersion of Information and Privacy Preservation | p. 29 |
Mechanism Design | p. 30 |
Mechanism Design Illustrated in a Walrasian Example | p. 31 |
An Edgeworth Box Economy | p. 31 |
The Walrasian Goal Function | p. 32 |
Mechanisms: The Competitive Mechanism | p. 35 |
Competitive Equilibrium Conditions | p. 35 |
The Competitive Mechanism Is a Mechanism | p. 36 |
The Competitive Mechanism Illustrates Some Concepts Used in Mechanism Design | p. 37 |
Privacy Preservation in the Competitive Mechanism | p. 38 |
Deriving a Mechanism (Not the Competitive Mechanism) from a Covering for the Walrasian Goal Function | p. 40 |
Informational Properties of the Two Mechanisms | p. 42 |
The Rectangles Method Applied to the Walrasian Goal Function - Informal | p. 44 |
Introductory Discussion of Informational Efficiency Concepts | p. 46 |
A National Forest | p. 50 |
From Goals to Means: Constructing Mechanisms | p. 63 |
Phase One: Mechanism Construction | p. 74 |
Two Examples | p. 74 |
Constructing a "Universal" Method of Designing Informationally Efficient Mechanisms Realizing a Given Goal Function | p. 83 |
The Method of Rectangles (RM) | p. 86 |
Phase 2: Constructing Decentralized Mechanisms, from Parameter Indexed Product Structures: Transition to Message-Indexed Product Structures | p. 101 |
Introduction | p. 101 |
Basic Concepts | p. 102 |
The L-dot Example | p. 104 |
More Examples | p. 105 |
General Issues in Mechanism Construction | p. 109 |
Mechanism Construction for L-dot | p. 114 |
Smooth Transversal Construction for Partitions by the "Flagpole" Method | p. 117 |
Flagpoles: General Principles | p. 117 |
Flagpoles: Example 2 (Augmented Inner Product) | p. 120 |
Flagpoles: A Walrasian Example | p. 125 |
Unique Solvability Implies Partition | p. 129 |
Analytic Aspects | p. 130 |
Phase Two via Condensation. General Principles | p. 131 |
The Mount-Reiter Condensation Theorem (Sufficiency) | p. 136 |
Walrasian Mechanism Construction | p. 140 |
Phase Two of Mechanism Design via Condensation for the Augmented Two-Dimensional Inner Product | p. 149 |
Overlaps | p. 154 |
Constructing a Mechanism When the Parameter-Indexed Product Structure Is Not a Partition: An Example | p. 154 |
Appendix | p. 163 |
Informational Efficiency | p. 165 |
Main Results | p. 165 |
The Maximality of Reflexive RM-Coverings | p. 166 |
Informational Efficiency: General Considerations | p. 168 |
A Comment on Informational Efficiency Concepts | p. 171 |
Minimal Informational Size Is Achievable by an rRM Mechanism | p. 172 |
Two rRM Coverings of Different Informational Size for the Same Goal Function: An Example | p. 175 |
Appendix | p. 180 |
Designing Informationally Efficient Mechanisms Using the Language of Sets | p. 182 |
Introduction | p. 182 |
Mechanism Design | p. 183 |
Decentralization | p. 184 |
Mechanisms and Coverings | p. 186 |
A Systematic Process for Constructing an rRM Covering | p. 188 |
OrRM: An Algorithm for Constructing an rRM Covering of a Finite Parameter Space That Is Minimal in the Class of Rectangular, F-Contour Contained Coverings | p. 197 |
Constructing a Mechanism from a Covering by the Transversals Method (TM) | p. 220 |
Coverings and Partitions | p. 230 |
Informational Efficiency | p. 244 |
Introduction | p. 244 |
Observational Efficiency | p. 245 |
The Maximality of rRM-Coverings | p. 246 |
Informational Size and Coarseness | p. 250 |
Section 1.8 Revisited: A Graphical Presentation | p. 263 |
Strategic Behavior | p. 274 |
Dominant Strategy Implementation | p. 274 |
Designing Informationally Efficient Nash-Implementing Mechanisms | p. 279 |
Characterizations of Partitions | p. 290 |
Revelation Mechanisms | p. 296 |
Introduction | p. 296 |
Computational Complexity of Functions | p. 299 |
Separator Sets and Quotients | p. 303 |
Algebraic Conditions | p. 306 |
Privacy-Preserving Mechanisms | p. 307 |
Initial Set-Theoretic Constructions | p. 310 |
Encoded and Essential Revelation Mechanisms | p. 310 |
F-Equivalence and Encoded Revelation Mechanisms | p. 310 |
The Topological Case | p. 313 |
Differential Separability | p. 315 |
The Number of Variables on which F Really Depends | p. 316 |
Rank Conditions and Construction of an Essential Revelation Mechanism for F | p. 317 |
Proofs and Examples | p. 322 |
Leontief and Abelson Theorem | p. 322 |
Leontief's Theorem | p. 324 |
An Example of the Coordinate Construction | p. 329 |
Proof of Theorem 4.4.6 | p. 331 |
References | p. 335 |
Index | p. 341 |
Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9780521836418
ISBN-10: 0521836417
Published: 22nd May 2006
Format: Hardcover
Language: English
Number of Pages: 356
Audience: Professional and Scholarly
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24 x 2.39
Weight (kg): 0.61
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