The use of the internet for commerce has spawned a variety of auctions, marketplaces, and exchanges for trading everything from bandwidth to books. Mechanisms for bidding agents, dynamic pricing, and combinatorial bids are being implemented in support of internet-based auctions, giving rise to new versions of optimization and resource allocation models. This volume, a collection of papers from an IMA "Hot Topics" workshop in internet auctions, includes descriptions of real and proposed auctions, complete with mathematical model formulations, theoretical results, solution approaches, and computational studies. This volume also provides a mathematical programming perspective on open questions in auction theory, and provides a glimpse of the growing area of dynamic pricing.

Mechanism design is an analytical framework for thinking clearly and carefully about what exactly a given institution can achieve when the information necessary to make decisions is dispersed and privately held. This analysis provides an account of the underlying mathematics of mechanism design based on linear programming. Three advantages characterize the approach. The first is simplicity: arguments based on linear programming are both elementary and transparent. The second is unity: the machinery of linear programming provides a way to unify results from disparate areas of mechanism design. The third is reach: the technique offers the ability to solve problems that appear to be beyond solutions offered by traditional methods. No claim is made that the approach advocated should supplant traditional mathematical machinery. Rather, the approach represents an addition to the tools of the economic theorist who proposes to understand economic phenomena through the lens of mechanism design.

This concise textbook presents students with all they need for advancing in mathematical economics. Detailed yet student-friendly, Vohra's book contains chapters in, amongst others:

* Feasibility
* Convex Sets
* Linear and Non-linear Programming
* Lattices and Supermodularity.

Higher level undergraduates as well as postgraduate students in mathematical economics will find this book extremely useful in their development as economists.

This concise textbook presents students with all they need for advancing in mathematical economics. Detailed yet student-friendly, Vohra's book contains chapters in, amongst others:

* Feasibility
* Convex Sets
* Linear and Non-linear Programming
* Lattices and Supermodularity.

Higher level undergraduates as well as postgraduate students in mathematical economics will find this book extremely useful in their development as economists.

Mechanism design is an analytical framework for thinking clearly and carefully about what exactly a given institution can achieve when the information necessary to make decisions is dispersed and privately held. This analysis provides an account of the underlying mathematics of mechanism design based on linear programming. Three advantages characterize the approach. The first is simplicity: arguments based on linear programming are both elementary and transparent. The second is unity: the machinery of linear programming provides a way to unify results from disparate areas of mechanism design. The third is reach: the technique offers the ability to solve problems that appear to be beyond solutions offered by traditional methods. No claim is made that the approach advocated should supplant traditional mathematical machinery. Rather, the approach represents an addition to the tools of the economic theorist who proposes to understand economic phenomena through the lens of mechanism design.

The use of the internet for commerce has spawned a variety of auctions, marketplaces, and exchanges for trading everything from bandwidth to books. Mechanisms for bidding agents, dynamic pricing, and combinatorial bids are being implemented in support of internet-based auctions, giving rise to new versions of optimization and resource allocation models. This volume, a collection of papers from an IMA "Hot Topics" workshop in internet auctions, includes descriptions of real and proposed auctions, complete with mathematical model formulations, theoretical results, solution approaches, and computational studies.
This volume also provides a mathematical programming perspective on open questions in auction theory, and provides a glimpse of the growing area of dynamic pricing.

Rakesh V. Vohra offers a unique approach to studying and understanding intermediate microeconomics by reversing the conventional order of treatment, starting with topics that are mathematically simpler and progressing to the more complex. The book begins with monopoly, which requires single variable rather than multivariable calculus and allows students to focus clearly on the fundamental trade-off at the heart of economics: margin versus volume. Imperfect competition and the contrast with monopoly follows, introducing the notion of Nash equilibrium. Perfect competition is addressed toward the end of the book, and framed as a model of non-strategic behavior by firms and agents. The last chapter is devoted to externalities, with an emphasis on how one might design competitive markets to price externalities and linking the difficulties to the problem of efficient provision of public goods. Real-life examples engage the reader while encouraging them to think critically about the interplay between model and reality.

Pricing drives three of the most important elements of firm success: revenue and profits, customer behavior and firm image. This book provides an introduction to the basic principles for thinking clearly about pricing. Unlike other marketing books on pricing, the authors use a more analytic approach and relate ideas to the basic principles of microeconomics. Rakesh Vohra and Lakshman Krishnamurthi also cover three areas in greater depth and provide more insight than may be gleaned from existing books: 1) the use of auctions, 2) price discrimination and 3) pricing in a competitive environment.

Rakesh V. Vohra offers a unique approach to studying and understanding intermediate microeconomics by reversing the conventional order of treatment, starting with topics that are mathematically simpler and progressing to the more complex. The book begins with monopoly, which requires single variable rather than multivariable calculus and allows students to focus clearly on the fundamental trade-off at the heart of economics: margin versus volume. Imperfect competition and the contrast with monopoly follows, introducing the notion of Nash equilibrium. Perfect competition is addressed toward the end of the book, and framed as a model of non-strategic behavior by firms and agents. The last chapter is devoted to externalities, with an emphasis on how one might design competitive markets to price externalities and linking the difficulties to the problem of efficient provision of public goods. Real-life examples engage the reader while encouraging them to think critically about the interplay between model and reality.