Designing Economic Mechanisms

Leonid Hurwicz is Regents' Professor of Economics Emeritus at the University of Minnesota. Internationally renowned for his pioneering research on economic theory, particularly in the areas of mechanism and institutional design and mathematical economics, he received the national Medal of Science in 1990. A member of the National Academy of Sciences and the American Academy of Arts and Sciences, Professor Hurwicz is a former President and Fellow of the Econometric Society. The recipient of six honorary doctorates, he serves on the editorial board of several journals and coedited and contributed to two collections for Cambridge University Press, Studies in Resource Allocation Processes (1978, with Kenneth Arrow) and Social Goals and Social Organization (1987, with David Schmeidler and Hugo Sonnenschein). His recent publications include papers in Economic Theory (2003, with Thomas Marschak), Review of Economic Design (2001, with Stanley Reiter), and Advances in Mathematical Economics (2003, with Marcel K. Richter). Stanley Reiter is Morrison Professor of Economics and Mathematics in the Weinburg College of Arts and Sciences and Morrison Professor of Managerial Economics and Decision Sciences in the Kellogg School of Management, Northwestern University, where he directs the Center for Mathematical Studies in Economics and Management Science. He previously served as Krannert Professor of Economic and Mathematics at Purdue University. A Fellow of the American Academy for the Advancement of Science, the American Academy of Arts and Sciences, the Guggenheim Foundation, and the Econometric Society, Professor Reiter is coauthor (with Kenneth R. Mount) of Computation and Complexity in Economic Behavior and Organization (Cambridge, 2002). He also edited Studies in Mathematical Economics (1987), coedited Information, Incentives, and Economic Mechanisms (1987), and serves as Associate Editor of the journals Economic Design and Complex Systems.

'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

• 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.