Supermodularity and Complementarity

supermodularity and complementarity

more information about Supermodularity and Complementarity

Supermodularity and Complementarity

Editorial Reviews
Book Description

The economics literature is replete with examples of monotone comparative statics; that is, scenarios where optimal decisions or equilibria in a parameterized collection of models vary monotonically with the parameter. Most of these examples are manifestations of complementarity, with a common explicit or implicit theoretical basis in properties of a super-modular function on a lattice. Supermodular functions yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for studying complementarity and monotone comparative statics. Concepts and results related to supermodularity and monotone comparative statics constitute a new and important formal step in the long line of economics literature on complementarity.

This monograph links complementarity to powerful concepts and results involving supermodular functions on lattices and focuses on analyses and issues related to monotone comparative statics. Don Topkis, who is known for his seminal contributions to this area, here presents a self-contained and up-to-date view of this field, including many new results, to scholars interested in economic theory and its applications as well as to those in related disciplines. The emphasis is on methodology. The book systematically develops a comprehensive, integrated theory pertaining to supermodularity, complementarity, and monotone comparative statics. It then applies that theory in the analysis of many diverse economic models formulated as decision problems, noncooperative games, and cooperative games.



Download Description
The economics literature is replete with examples of monotone comparative statics; that is, scenarios where optimal decisions or equilibria in a parameterized collection of models vary monotonically with the parameter. Most of these examples are manifestations of complementarity, with a common explicit or implicit theoretical basis in properties of a super-modular function on a lattice. Supermodular functions yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for studying complementarity and monotone comparative statics. Concepts and results related to supermodularity and monotone comparative statics constitute a new and important formal step in the long line of economics literature on complementarity. This monograph links complementarity to powerful concepts and results involving supermodular functions on lattices and focuses on analyses and issues related to monotone comparative statics. Don Topkis, who is known for his seminal contributions to this area, here presents a self-contained and up-to-date view of this field, including many new results, to scholars interested in economic theory and its applications as well as to those in related disciplines. The emphasis is on methodology. The book systematically develops a comprehensive, integrated theory pertaining to supermodularity, complementarity, and monotone comparative statics. It then applies that theory in the analysis of many diverse economic models formulated as decision problems, noncooperative games, and cooperative games. --This text refers to the Digital edition.

Supermodularity and Complementarity

Supermodularity and Complementarity,Donald M. Topkis,Princeton University Press,0691032440,Business & Economics,Business / Economics / Finance,Business Decision Making,Business/Economics,Decision Making & Problem Solving,Decision making,Econometrics,Economics - General,Mathematical Models In Economics,Mathematical models,Noncooperative games (Mathemat,Noncooperative games (Mathematics),Business & Economics / Econometrics,Economics,Mathematics

Hot Books:

  1. Taxation in a Global Economy : Theory and Evidence
  2. Technological Transitions And System Innovations: A Co-evolutionary And Socio-technical Analysis
  3. Technology in Context; Technology Assessment for Managers (Routledge Studies in the Management of Technology and Innovation)
  4. The Amenity Value of the Global Climate
  5. The Economics of Social Policy
  6. The Effects of the Nation: Mexican Art in an Age of Globalization
  7. The Empire of Business
  8. The European Miracle
  9. The Internationalisation of Antitrust Policy
  10. The Korean Economy at the Crossroads; Triumphs, Difficulties and Triumphs Again (Routledgecurzon Studies in the Growth Economies of Asia, 48)

Hot Books

Hot Books

Recommended Books

  1. Discrete Choice Analysis: Theory and Application to Travel Demand
  2. Peculia and the Groon Grove Vampires
  3. The World of Comedy: Five Takes on Funny
  4. Use Cases: Requirements in Context, Second Edition
  5. Untapped Options: Building Links Between Marketing and Human Resources to Achieve Organizational Goa
  6. Understanding Culture : An Introduction to Anthropological Theory
  7. The U. S. Paper Industry and Sustainable Production: An Argument for Restructuring
  8. Transport Processes in Eukaryotic and Prokaryotic Organisms
  9. Use Me
  10. When the Body Says No: Understanding the Stress-Disease Connection
  11. Warman's Barbie Doll Field Guide
  12. Wild Flowers Of America
  13. When the Smoke Cleared at Gettysburg: The Tragic Aftermath of the Bloodiest Battle of the Civil War
  14. Undiscovered Petroleum and Mineral Resources : Assessment and Controversy
  15. Venus on the Fairway : Creating a Swing--and a Game--That Works for Women