This book provides an account of the underlying mathematics of mechanism design based on linear programming.

1. Introduction; 2. Arrow's theorem and its consequences; 3. Network flow problem; 4. Incentive compatibility; 5. Efficiency; 6. Revenue maximization; 7. Rationalizability.

Rakesh V. Vohra is the John L. and Helen Kellogg Professor of Managerial Economics and Decision Sciences at the Kellogg School of Management, Northwestern University, where he is also Director of the Center for Mathematical Studies in Economics and Management Science. He previously taught at the Fisher School of Business, Ohio State University and is the author of Advanced Mathematical Economics (2005). Professor Vohra has also completed a manuscript on the principles of pricing with Lakshman Krishnamurthi, Professor of Marketing at the Kellogg School. Professor Vohra received his doctorate in mathematics from the University of Maryland.