Supermodularity and Complementarity

Supermodularity and Complementarity PDF Author: Donald M. Topkis
Publisher: Princeton University Press
ISBN: 140082253X
Category : Business & Economics
Languages : en
Pages : 285

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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.

Supermodularity and Complementarity

Supermodularity and Complementarity PDF Author: Donald M. Topkis
Publisher: Princeton University Press
ISBN: 140082253X
Category : Business & Economics
Languages : en
Pages : 285

Get Book Here

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.

Supermodularity and Complementarity in Economics

Supermodularity and Complementarity in Economics PDF Author: Rabah Amir
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
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

Special Issue: Supermodularity and Complementarity in Economic Theory PDF Author: Rabah Amir
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Complementarity, Improvement Programs and Queuing Technology

Complementarity, Improvement Programs and Queuing Technology PDF Author: Phillip J. Lederer
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
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.

Matching with Transfers

Matching with Transfers PDF Author: Pierre-André Chiappori
Publisher: Princeton University Press
ISBN: 0691203504
Category : Business & Economics
Languages : en
Pages : 262

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Book Description
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.

Innovative Forms of Organizing

Innovative Forms of Organizing PDF Author: Andrew M Pettigrew
Publisher: SAGE
ISBN: 1412933161
Category : Business & Economics
Languages : en
Pages : 443

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Book Description
This book presents novel theoretical ideas and empirical findings where the fields of strategizing and organizing meet. At this boundary lie many of the most crucial theoretical and practical issues for management and managing. Innovative Forms of Organizing, the eagerly awaited sequel to The Innovating Organization (SAGE, 2000), draws upon the comprehensive data sets of the INFORM programme of research, to examine the development of innovative forms of organizing and company performance in organizations across Europe, Japan and the United States. Innovative Forms of Organizing establishes and develops three strong themes: organizing and strategizing; complementarities, change and performance; and the management of dualities in the modern corporation. The book then discusses the implications of its presented ideas for strategizing/organizing in the 21st century firm and the challenges for management researchers of conducting large scale, international comparative research. Innovative Forms of Organizing thereby illustrates 21st Century management research in 21st Century organizations across Europe, Japan and the USA. This seminal international study will be a classic in the field for years to come for scholars and policy makers in academia, business and government who are interested in strategy, organization and international management.

The New Palgrave Dictionary of Economics

The New Palgrave Dictionary of Economics PDF Author:
Publisher: Springer
ISBN: 1349588024
Category : Law
Languages : en
Pages : 7493

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Book Description
The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.

The Routledge Handbook of Comparative Economic Systems

The Routledge Handbook of Comparative Economic Systems PDF Author: Bruno Dallago
Publisher: Taylor & Francis
ISBN: 1000800962
Category : Business & Economics
Languages : en
Pages : 782

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Book Description
The Routledge Handbook of Comparative Economic Systems examines the institutional bases of economies, and the different ways in which economic activity can function, be organized and governed. It examines the complexity of this academic and research field, assessing the place of comparative economic studies within economics, paying due attention to future perspectives, and presenting critically important questions, analytical methods and relative approaches. This complements the recent revival of the systemic view of economic governance, which was accelerated by the COVID-19 pandemic and likely even more the renewed East-West clash epitomized by the Russian invasion of Ukraine and the West’s reaction to it. The Handbook is divided into five parts. Each part deals with an issue of relevance for the discipline. The first and second parts look at the subject, content and approach of the discipline and its comparative method. The third part looks at the idiosyncratic nature of different economic systems and their constituent elements. The fourth part considers the outcomes that different economic systems generate and how these outcomes change following the evolution and transformation of economic systems. The last part takes stock and looks ahead at the challenges, from a theoretical and applied perspective, and the exogenous and endogenous factors promoting the advancement of the discipline, including the interaction between and competition among varied approaches and opposing paradigms. The Handbook brings together leading international contributors to reflect on the relevant debates and case or country studies, provides a balanced overview of the results achieved and current knowledge, as well as evolving issues and new fields of research. The book provides researchers, students and analysts with a complete, critical and forward-looking presentation and analysis of the content, development, challenges and perspectives of comparative economic studies.

A Theory of Games with General Complementarities

A Theory of Games with General Complementarities PDF Author: Filippo L. Calciano
Publisher: Presses univ. de Louvain
ISBN: 2874632430
Category : Business & Economics
Languages : en
Pages : 81

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Book Description
In the current theory of games, the formal notion of complementarity that is employed is unsatisfactory because it bears too few connections with our intuitive idea of complementarity. This is the starting point of the present work.

Oligopoly Pricing

Oligopoly Pricing PDF Author: Xavier Vives
Publisher: MIT Press (MA)
ISBN: 9780262220606
Category : Business & Economics
Languages : en
Pages : 446

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Book Description
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.