A mechanism is a mathematical structure that models institutions through which economic activity is guided and coordinated. There are many such institutions; markets are the most familiar ones. Lawmakers, administrators and officers of private companies create institutions in order to achieve desired goals. They seek to do so in ways that economize on the resources needed to operate the institutions, and that provide incentives that induce the required behaviors. This book presents systematic procedures for designing mechanisms that achieve specified performance, and economize on the resources required to operate the mechanism. The systematic design procedures are algorithms for designing informationally efficient mechanisms. Most of the book deals with these procedures of design. When there are finitely many environments to be dealt with, and there is a Nash-implementing mechanism, our algorithms can be used to make that mechanism into an informationally efficient one. Informationally efficient dominant strategy implementation is also studied.
• Authors helped found the field of mechanism design • Leonid Hurwicz is the Nobel Prize Winner 2007 for The Sveriges Riksbank Prize in Economic Sciences
1. Mechanisms and mechanism design; 1.1. Introduction to mechanisms and mechanism design; 1.2. Environments and goal functions; 1.3. Mechanisms: message exchange processes and game forms; 1.4. Initial dispersion of information and privacy preservation; 1.5. Mechanism design; 1.6. Mechanism design Illustrated in a Walrasian example; 1.7. The rectangles method applied to the Walrasian goal function-informal; 1.8. Introductory discussion of informational efficiency concepts; 1.9. Regulation of logging in a national forest - an example of mechanism design; 2. From goals to means: constructing mechanisms; 2.1. Mechanism construction: phase one; 2.2. Phase two: constructing decentralized; 2.3.1. Flagpoles-principles; 2.4.1. Phase two: via condensation: principles; 2.5. Overlaps; 2.6.1; Main results; 3. Designing informationally efficient mechanisms using the language of aets; 3.1. Introduction; 3.2. Mechanism design; 3.3. Mechanisms and coverings; 3.4. A systematic process (an algorithm) for constructing and rRM covering; 3.5; Transversals; 3.6. Coverings and partitions; 3.7. Informational efficiency; 3.8. Example 1.9 revisited - a graphical presentation; 3.9. Informationally efficient mechanisms with strategic behavior; 4. Revelation mechanisms (co-authored with Kenneth R. Mount); 4.1. Introduction; 4.2. Initial set theoretic constructions; 4.3. The topological case; 4.4. Proofs and examples.
'Economic mechanism design has both theoretical and practical importance. This book, by two founders of the field, provides a wonderful guide for those who would design mechanisms. It is a major achievement, providing deep insights based on the authors' experience and wisdom. It should be required reading for all.' John Ledyard, California Institute of Technology
'This book shows how a mechanism designer, given the organization's goal, can construct a decentralized mechanism, wherein no agent directly reveals private information and yet, through message exchanges that are minimal (in an appropriate sense), enough information is gathered so that goal-fulfilling actions can be taken.' Thomas A. Marschak, University of California, Berkeley
'In this masterly and important book, Leonid Hurwicz, the founder of the theory of mechanism design, and Stanley Reiter, a leading pioneer in the field, consolidate their long-standing collaboration on how to design mechanisms that achieve society's allocational goals.' Eric Maskin, Nobel Laureate, Princeton University
'The introduction to economic theory of mechanism design, the formal analysis of economic institutions, is one of the most important developments in economics in the last half century. This book both describes and extends the state of understanding in a large and important segment of mechanism design and will define the frontier of the area for some time to come.' Andrew Postlewaite, University of Pennsylvania
'This book's innovative techniques can be useful for finding feasible solutions in both theoretical and applied statistical multivariable optimization problems.' Stan Lipovetsky, Technometrics