Supermodularity and Complementarity

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Publisher : Princeton University Press
ISBN 13 : 0691032440
Total Pages : 285 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Supermodularity and Complementarity by : Donald M. Topkis

Download or read book Supermodularity and Complementarity written by Donald M. Topkis and published by Princeton University Press. This book was released on 1998-05-03 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compact presentation of a large body of research that has been published over the last several decades. The material is almost entirely self-contained, so that a reader with the proper mathematical background can have access to virtually all of the technical results in this field in a compact and organized framework.

Supermodularity and Complementarity

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Author :
Publisher : Princeton University Press
ISBN 13 : 140082253X
Total Pages : 285 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Supermodularity and Complementarity by : Donald M. Topkis

Download or read book Supermodularity and Complementarity written by Donald M. Topkis and published by Princeton University Press. This book was released on 2011-02-11 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Supermodularity and Complementarity in Economics by : Rabah Amir

Download or read book Supermodularity and Complementarity in Economics written by Rabah Amir and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Special Issue: Supermodularity and Complementarity in Economic Theory

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Special Issue: Supermodularity and Complementarity in Economic Theory by : Rabah Amir

Download or read book Special Issue: Supermodularity and Complementarity in Economic Theory written by Rabah Amir and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complementarity and Variational Problems

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Publisher : SIAM
ISBN 13 : 9780898713916
Total Pages : 494 pages
Book Rating : 4.7/5 (139 download)

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Book Synopsis Complementarity and Variational Problems by : Michael C. Ferris

Download or read book Complementarity and Variational Problems written by Michael C. Ferris and published by SIAM. This book was released on 1997-01-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: After more than three decades of research, the subject of complementarity problems and its numerous extensions has become a well-established and fruitful discipline within mathematical programming and applied mathematics. Sources of these problems are diverse and span numerous areas in engineering, economics, and the sciences. Includes refereed articles.

Complementarity, Improvement Programs and Queuing Technology

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Complementarity, Improvement Programs and Queuing Technology by : Phillip J. Lederer

Download or read book Complementarity, Improvement Programs and Queuing Technology written by Phillip J. Lederer and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past two decades firms have adopted many types of functional improvement programs. A goal of this paper is to study interactions of operations programs with improvement programs in other functions. An important issue is whether these programs are complements (or substitutes): that is, whether implementation of a pair of programs adds more value (or loses value) than the sum of the individual programs. Recent advances based upon Topkis's (1998) theory of supermodularity have created a framework to establish sufficient conditions to guarantee that two interacting activities or programs are complementary. But not all programs can be characterized by supermodularity. In particular, I show that programs that involve uncertainty reduction do not fit the supermodularity framework with respect to other programs. In the absence of supermodularity, complementarity properties can sometimes be established, but some assumption about the production function must be assumed. Assuming that production is based upon queuing technology, three programs are studied and I show that complement/substitute properties can be established. The three programs are uncertainty reduction about a key demand parameter, elimination of biased estimates of cost and direct cost savings. I show that uncertainty reduction and bias removal can be complements or substitutes; but, uncertainty reduction and cost estimation bias elimination are both complementary to direct cost savings. Also, several operations improvement programs are shown to be complementary to each other. The fact that the operations improvement programs are complementary to all other programs is significant for the organizational design of capital budgeting, as this assures that the true project value is higher than its standalone net present value. Results are generalized by presenting conditions that assure the complementarity or substitutability of these three types of programs. Because batching/lot sizing and any fixed charge problem (such as facility location) have cost structures similar to queuing, the results are shown to apply to a broad range of technologies.

Complementarity in Mathematics

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Publisher :
ISBN 13 : 9789401576253
Total Pages : 192 pages
Book Rating : 4.5/5 (762 download)

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Book Synopsis Complementarity in Mathematics by : W. Kuyk

Download or read book Complementarity in Mathematics written by W. Kuyk and published by . This book was released on 1977-09-30 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complementarities in Innovation Policy

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Publisher : CIRANO
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Complementarities in Innovation Policy by : Pierre A. Mohnen

Download or read book Complementarities in Innovation Policy written by Pierre A. Mohnen and published by CIRANO. This book was released on 2001 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Network Goods, Information and Identification: Complementarities and Strategic Behavior

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Publisher :
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4.:/5 (752 download)

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Book Synopsis Network Goods, Information and Identification: Complementarities and Strategic Behavior by : Natalia Lazzati

Download or read book Network Goods, Information and Identification: Complementarities and Strategic Behavior written by Natalia Lazzati and published by . This book was released on 2011 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of complementarity is fundamental to economics, as reflected in the large and growing number of studies that invoke alternate conceptions of this idea. Though complementarity has been studied for many years, its connection with theory of supermodularity is far more recent. Taking advantage of these techniques, the first three chapters of this dissertation study aspects of interest in network markets; endogenous information acquisition; and some insights into the comparison of player's equilibrium strategies. The last chapter applies this methodology to econometric identification. Chapter one provides a thorough analysis of oligopolistic markets with positive demand-side network externalities and perfect compatibility. With a general complementarity structure on the model primitives allowing for products with low or high stand-alone values, a nontrivial fulfilled-expectations equilibrium exists. We formalize the concept of industry viability, investigate its determinants, and show that viability is always enhanced by having more firms in the market and/or by technological progress. The second chapter studies covert information acquisition in common value Bayesian games of strategic complementarities. Using the supermodular stochastic order to arrange the structures of information increasingly in terms of preferences, we provide novel, easily interpretable conditions under which the value of information is globally convex, and study the implications in terms of the equilibrium configuration. Our analysis also enlightens the effect of information on players' behavior. Chapter three proposes a simple approach to compare players' equilibrium choices in asymmetric games with strategic complementarities. We offer three applications of our idea to industrial organization and behavioral economics. The last chapter studies (nonparametric) partial identification of treatment response with social interactions. It imposes economically driven monotone conditions to the primitives of the model, i.e., the structural equations, and shows that they imply shape restrictions on the distribution of potential outcomes by means of monotone comparative statics. We propose precise conditions that validate counterfactual predictions in models with multiple equilibria. Under three sets of assumptions, we identify sharp distributional bounds (in terms of stochastic dominance) on the potential outcomes given observable data. We illustrate our results by studying the effect of police per-capita on crime rates in New York state.

Putting Auction Theory to Work

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Publisher : Cambridge University Press
ISBN 13 : 1139449168
Total Pages : 378 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Putting Auction Theory to Work by : Paul Milgrom

Download or read book Putting Auction Theory to Work written by Paul Milgrom and published by Cambridge University Press. This book was released on 2004-01-12 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Matching with Transfers

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Publisher : Princeton University Press
ISBN 13 : 0691203504
Total Pages : 262 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Matching with Transfers by : Pierre-André Chiappori

Download or read book Matching with Transfers written by Pierre-André Chiappori and published by Princeton University Press. This book was released on 2020-05-26 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades, matching models, which use mathematical frameworks to analyze allocation mechanisms for heterogeneous products and individuals, have attracted renewed attention in both theoretical and applied economics. These models have been used in many contexts, from labor markets to organ donations, but recent work has tended to focus on "nontransferable" cases rather than matching models with transfers. In this important book, Pierre-André Chiappori fills a gap in the literature by presenting a clear and elegant overview of matching with transfers and provides a set of tools that enable the analysis of matching patterns in equilibrium, as well as a series of extensions. He then applies these tools to the field of family economics and shows how analysis of matching patterns and of the incentives thus generated can contribute to our understanding of long-term economic trends, including inequality and the demand for higher education.

Oligopoly Pricing

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Publisher : MIT Press (MA)
ISBN 13 : 9780262220606
Total Pages : 446 pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Oligopoly Pricing by : Xavier Vives

Download or read book Oligopoly Pricing written by Xavier Vives and published by MIT Press (MA). This book was released on 1999 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Iterative Methods in Combinatorial Optimization

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Publisher : Cambridge University Press
ISBN 13 : 1139499394
Total Pages : 255 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Iterative Methods in Combinatorial Optimization by : Lap Chi Lau

Download or read book Iterative Methods in Combinatorial Optimization written by Lap Chi Lau and published by Cambridge University Press. This book was released on 2011-04-18 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.

Utility Theory for Decision Making

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Publisher : Huntington, N.Y. : R. E. Krieger Publishing Company
ISBN 13 : 9780882757360
Total Pages : 234 pages
Book Rating : 4.7/5 (573 download)

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Book Synopsis Utility Theory for Decision Making by : Peter C. Fishburn

Download or read book Utility Theory for Decision Making written by Peter C. Fishburn and published by Huntington, N.Y. : R. E. Krieger Publishing Company. This book was released on 1979-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Economics of the Family

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Publisher : Cambridge University Press
ISBN 13 : 1107728924
Total Pages : 511 pages
Book Rating : 4.1/5 (77 download)

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Book Synopsis Economics of the Family by : Martin Browning

Download or read book Economics of the Family written by Martin Browning and published by Cambridge University Press. This book was released on 2014-06-05 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimal Transport Methods in Economics

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Publisher : Princeton University Press
ISBN 13 : 0691183465
Total Pages : 184 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Optimal Transport Methods in Economics by : Alfred Galichon

Download or read book Optimal Transport Methods in Economics written by Alfred Galichon and published by Princeton University Press. This book was released on 2018-08-14 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the matching between job seekers and jobs, the determinants of real estate prices, and the formation of matrimonial unions. This is the first text to develop clear applications of optimal transport to economic modeling, statistics, and econometrics. It covers the basic results of the theory as well as their relations to linear programming, network flow problems, convex analysis, and computational geometry. Emphasizing computational methods, it also includes programming examples that provide details on implementation. Applications include discrete choice models, models of differential demand, and quantile-based statistical estimation methods, as well as asset pricing models. Authoritative and accessible, Optimal Transport Methods in Economics also features numerous exercises throughout that help you develop your mathematical agility, deepen your computational skills, and strengthen your economic intuition. The first introduction to the subject written especially for economists Includes programming examples Features numerous exercises throughout Ideal for students and researchers alike

Complementarity in Training Practices

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Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Complementarity in Training Practices by : Giovanni Guidetti

Download or read book Complementarity in Training Practices written by Giovanni Guidetti and published by . This book was released on 2006 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper develops a conceptual framework aimed at analysing the profitability to finance general training, grounding on the notion of complementarity among productive factors. First, we show that a simple application of theoretical analysis based on the lattice theory and the notion of supermodularity can provide a suitable framework to study complementarity relationships characterizing productive factors. Secondly, we discuss empirical evidence on complementarity between general and specific training with respect to firm productivity, exploiting a detailed and specifically constructed survey based dataset. Complementarity between training forms is thus tested in a discrete framework. We show that complementarity holds for most specifications, though the outcome might be dependant on other firm-related features and strategies. The multivariate analysis also shows, on the same model framework, that Ramp;D and training expenditures are emerging as main explanatory drivers for productivity. Our results on training complementarity and productivity drivers indicates that complementarity related to training forms matters, but also that the mere training adoption is probably not sufficient: the level of training provided is positively correlated with firm productivity.