Supermodularity and Complementarity / / Donald M. Topkis.

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 expli...

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Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2011]
©1998
Year of Publication:2011
Edition:Course Book
Language:English
Series:Frontiers of Economic Research
Online Access:
Physical Description:1 online resource (288 p.)
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245 1 0 |a Supermodularity and Complementarity /  |c Donald M. Topkis. 
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490 0 |a Frontiers of Economic Research 
505 0 0 |t Frontmatter --   |t Contents --   |t Preface --   |t Chapter 1. Introduction --   |t Chapter 2. Lattices, Supermodular Functions, and --   |t Chapter 3. Optimal Decision Models --   |t Chapter 4. Noncooperative Games --   |t Chapter 5. Cooperative Games --   |t Bibliography --   |t Index 
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520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) 
650 0 |a Decision making  |x Mathematical models. 
650 0 |a Noncooperative games (Mathematics). 
650 7 |a BUSINESS & ECONOMICS / Econometrics.  |2 bisacsh 
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776 0 |c print  |z 9780691032443 
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