Supermodularity and Complementarity
Supermodularity and Complementarity

Author: Donald M. Topkis

Publisher: Princeton University Press

Published: 2011-02-11

Total Pages: 285

ISBN-13: 140082253X

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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.

Supermodularity and Complementarity in Economics
Supermodularity and Complementarity in Economics

Author: Rabah Amir

Publisher:

Published: 2007

Total Pages: 0

ISBN-13:

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The literature on supermodular optimization and games is surveyed from the perspective of potential users in economics. This methodology provides a new approach for comparative statics based only on critical assumptions, and allows a general analysis of games with strategic complementarities. The results are presented in a simplified yet rigourous manner, without reference to lattice theory, for the special case of onedimensional parameter and actions sets, with the emphasis being on wide accessibility. Detailed applications are presented for well-known models of consumer behavior, monopoly pass-through, Bertrand and Cournot competition, strategic R&D, search and matching. Wherever appropriate, useful tricks for applications and comparative comments are inserted.

Putting Auction Theory to Work
Putting Auction Theory to Work

Author: Paul Milgrom

Publisher: Cambridge University Press

Published: 2004-01-12

Total Pages: 378

ISBN-13: 1139449168

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This book provides a comprehensive introduction to modern auction theory and its important new applications. It is written by a leading economic theorist whose suggestions guided the creation of the new spectrum auction designs. Aimed at graduate students and professionals in economics, the book gives the most up-to-date treatments of both traditional theories of 'optimal auctions' and newer theories of multi-unit auctions and package auctions, and shows by example how these theories are used. The analysis explores the limitations of prominent older designs, such as the Vickrey auction design, and evaluates the practical responses to those limitations. It explores the tension between the traditional theory of auctions with a fixed set of bidders, in which the seller seeks to squeeze as much revenue as possible from the fixed set, and the theory of auctions with endogenous entry, in which bidder profits must be respected to encourage participation.

Cross-Business Synergies
Cross-Business Synergies

Author: Sebastian Knoll

Publisher: Springer Science & Business Media

Published: 2008-07-17

Total Pages: 411

ISBN-13: 3834996874

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Sebastian Knoll suggests that the successful realization of growth synergies is associated with a selective focus on specific growth opportunities, decentralized cross-business collaboration that motivates productive business unit self-interest, and a corporate management approach that guides and balances this self-interest in an evolutionary fashion.

Economics of the Family
Economics of the Family

Author: Martin Browning

Publisher: Cambridge University Press

Published: 2014-06-05

Total Pages: 511

ISBN-13: 1107728924

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The family is a complex decision unit in which partners with potentially different objectives make consumption, work and fertility decisions. Couples marry and divorce partly based on their ability to coordinate these activities, which in turn depends on how well they are matched. This book provides a comprehensive, modern and self-contained account of the research in the growing area of family economics. The first half of the book develops several alternative models of family decision making. Particular attention is paid to the collective model and its testable implications. The second half discusses household formation and dissolution and who marries whom. Matching models with and without frictions are analyzed and the important role of within-family transfers is explained. The implications for marriage, divorce and fertility are discussed. The book is intended for graduate students in economics and for researchers in other fields interested in the economic approach to the family.

Oligopoly Pricing
Oligopoly Pricing

Author: Xavier Vives

Publisher: MIT Press (MA)

Published: 1999

Total Pages: 446

ISBN-13: 9780262220606

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Applies a modern game-theoretic approach to develop a theory of oligopoly pricing. The text relates classic contributions to the field of modern game theory and discusses basic game-theoretic tools and equilibrium, paying particular attention to developments in the theory of supermodular games.

Games And Dynamic Games
Games And Dynamic Games

Author: Haurie Alain

Publisher: World Scientific Publishing Company

Published: 2012-03-23

Total Pages: 488

ISBN-13: 981440134X

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Dynamic games arise between players (individuals, firms, countries, animals, etc.) when the strategic interactions among them recur over time and decisions made during one period affect both current and future payoffs. Dynamic games provide conceptually rich paradigms and tools to deal with these situations.This volume provides a uniform approach to game theory and illustrates it with present-day applications to economics and management, including environmental, with the emphasis on dynamic games.At the end of each chapter a case study called game engineering (GE) is provided, to help readers understand how problems of high social priority, such as environmental negotiations, exploitation of common resources, can be modeled as games and how solutions can be engineered.