The Cooperative Game Theory of Networks and Hierarchies

The Cooperative Game Theory of Networks and Hierarchies PDF Author: Robert P. Gilles
Publisher: Springer Science & Business Media
ISBN: 3642052827
Category : Mathematics
Languages : en
Pages : 264

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Book Description
The book brings together an overview of standard concepts in cooperative game theory with applications to the analysis of social networks and hierarchical authority organizations. The standard concepts covered include the multi-linear extension, the Core, the Shapley value, and the cooperative potential. Also discussed are the Core for a restricted collection of formable coalitions, various Core covers, the Myerson value, value-based potentials, and share potentials. Within the context of social networks this book discusses the measurement of centrality and power as well as allocation rules such as the Myerson value and hierarchical allocation rules. For hierarchical organizations, two basic approaches to the exercise of authority are explored; for each approach the allocation of the generated output is developed. Each chapter is accompanied by a problem section, allowing this book to be used as a textbook for an advanced graduate course on game theory.

The Cooperative Game Theory of Networks and Hierarchies

The Cooperative Game Theory of Networks and Hierarchies PDF Author: Robert P. Gilles
Publisher: Springer Science & Business Media
ISBN: 3642052827
Category : Mathematics
Languages : en
Pages : 264

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Book Description
The book brings together an overview of standard concepts in cooperative game theory with applications to the analysis of social networks and hierarchical authority organizations. The standard concepts covered include the multi-linear extension, the Core, the Shapley value, and the cooperative potential. Also discussed are the Core for a restricted collection of formable coalitions, various Core covers, the Myerson value, value-based potentials, and share potentials. Within the context of social networks this book discusses the measurement of centrality and power as well as allocation rules such as the Myerson value and hierarchical allocation rules. For hierarchical organizations, two basic approaches to the exercise of authority are explored; for each approach the allocation of the generated output is developed. Each chapter is accompanied by a problem section, allowing this book to be used as a textbook for an advanced graduate course on game theory.

Allocation in Networks

Allocation in Networks PDF Author: Jens Leth Hougaard
Publisher: MIT Press
ISBN: 0262348683
Category : Business & Economics
Languages : en
Pages : 297

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Book Description
A comprehensive overview of networks and economic design, presenting models and results drawn from economics, operations research, and computer science; with examples and exercises. This book explores networks and economic design, focusing on the role played by allocation rules (revenue and cost-sharing schemes) in creating and sustaining efficient network solutions. It takes a normative approach, seeking economically efficient network solutions sustained by distributional fairness, and considers how different ways of allocating liability affect incentives for network usage and development. The text presents an up-to-date overview of models and results currently scattered over several strands of literature, drawing on economics, operations research, and computer science. The book's analysis of allocation problems includes such classic models from combinatorial optimization as the minimum cost spanning tree and the traveling salesman problem. It examines the planner's ability to design mechanisms that will implement efficient network structures, both in large decentralized networks and when there is user-agent information asymmetry. Offering systematic theoretical analyses of various compelling allocation rules in cases of fixed network structures as well as discussions of network design problems, the book covers such topics as tree-structured distribution systems, routing games, organizational hierarchies, the “price of anarchy,” mechanism design, and efficient implementation. Appropriate as a reference for practitioners in network regulation and the network industry or as a text for graduate students, the book offers numerous illustrative examples and end-of-chapter exercises that highlight the concepts and methods presented.

Operations Research and Enterprise Systems

Operations Research and Enterprise Systems PDF Author: Dominique De Werra
Publisher: Springer
ISBN: 3319276808
Category : Computers
Languages : en
Pages : 257

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Book Description
This book constitutes revised selected papers from the 4th International Conference on Operations Research and Enterprise Systems, ICORES 2015, held in Lisbon, Portugal, in January 2015. The 14 papers presented in this volume were carefully reviewed and selection from a total of 89 submissions. They were organized in topical sections named: methodologies and technologies; and applications.

Economics, Game Theory And International Environmental Agreements: The Ca' Foscari Lectures

Economics, Game Theory And International Environmental Agreements: The Ca' Foscari Lectures PDF Author: Henry Tulkens
Publisher: World Scientific
ISBN: 9813141247
Category : Business & Economics
Languages : en
Pages : 459

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Book Description
The science and management of environmental problems is a vast area, comprising both the natural and social sciences, and the multidisciplinary links often make these issues challenging to comprehend. Economics, Game Theory and International Environmental Agreements: The Ca' Foscari Lectures aims to introduce students to the multidimensional character of international environmental problems in general, and climate change in particular.Ecology, economics, game theory and diplomacy are called upon and brought together in the common framework of a basic mathematical model. Within that framework, and using tools from these four disciplines, the book develops a theory that aims to explain and promote cooperation in international environmental affairs.Other books on the topic tend to be research-oriented volumes of various papers. Instead, this is a book that offers a reasonably-sized synthesis of the multidimensional societal problems of transfrontier pollution, particularly of climate change. It uses mathematical modeling of economic and game theory concepts to examine these environmental issues and demonstrate many results in an accessible fashion. Readers interested in understanding the links between ecology and economics, as well as the connection between economics and institutional decision-making, will find in this text not only answers to many of their queries but also questions for further thinking.

Handbook of the Shapley Value

Handbook of the Shapley Value PDF Author: Encarnación Algaba
Publisher: CRC Press
ISBN: 1351241397
Category : Business & Economics
Languages : en
Pages : 507

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Book Description
Handbook of the Shapley Value contains 24 chapters and a foreword written by Alvin E. Roth, who was awarded the Nobel Memorial Prize in Economic Sciences jointly with Lloyd Shapley in 2012. The purpose of the book is to highlight a range of relevant insights into the Shapley value. Every chapter has been written to honor Lloyd Shapley, who introduced this fascinating value in 1953. The first chapter, by William Thomson, places the Shapley value in the broader context of the theory of cooperative games, and briefly introduces each of the individual contributions to the volume. This is followed by a further contribution from the editors of the volume, which serves to introduce the more significant features of the Shapley value. The rest of the chapters in the book deal with different theoretical or applied aspects inspired by this interesting value and have been contributed specifically for this volume by leading experts in the area of Game Theory. Chapters 3 through to 10 are more focused on theoretical aspects of the Shapley value, Chapters 11 to 15 are related to both theoretical and applied areas. Finally, from Chapter 16 to Chapter 24, more attention is paid to applications of the Shapley value to different problems encountered across a diverse range of fields. As expressed by William Thomson in the Introduction to the book, "The chapters contribute to the subject in several dimensions: Mathematical foundations; axiomatic foundations; computations; applications to special classes of games; power indices; applications to enriched classes of games; applications to concretely specified allocation problems: an ever-widening range, mapping allocation problems into games or implementation." Nowadays, the Shapley value continues to be as appealing as when it was first introduced in 1953, or perhaps even more so now that its potential is supported by the quantity and quality of the available results. This volume collects a large amount of work that definitively demonstrates that the Shapley value provides answers and solutions to a wide variety of problems.

Algorithmic Game Theory

Algorithmic Game Theory PDF Author: Berthold Vöcking
Publisher: Springer
ISBN: 3642413927
Category : Computers
Languages : en
Pages : 280

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Book Description
This book constitutes the proceedings of the 6th International Symposium on Algorithmic Game Theory, SAGT 2013, held in Aachen, Germany, in October 2013. The 25 papers presented in this volume were carefully reviewed and selected from 65 submissions. They cover various important aspects of algorithmic game theory, such as solution concepts in game theory, efficiency of equilibria and the price of anarchy, computational aspects of equilibria and game theoretical measures, repeated games and convergence of dynamics, evolution and learning in games, coordination and collective action, network games and graph-theoretic aspects of social networks, voting and social choice, as well as algorithmic mechanism design.

Networks of Institutions

Networks of Institutions PDF Author: Shuanping Dai
Publisher: Routledge
ISBN: 1317749529
Category : Business & Economics
Languages : en
Pages : 240

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Book Description
The questions such as, ‘why the focuses of national policies vary significantly across countries, although their sources of policies are to a great extent identical’; ‘why national development experiences mostly cannot be transplanted successfully among countries’; ‘why some ineffective institutions persist over long periods of time’, have attracted numerous efforts. This book provides a new perspective and argues that the answers lie in the existence of the networks of institutions and thus of national systems of policies (NSP) within national frameworks. Institutions are the equilibria of games and exist as rules of games. Therefore, a basic setting is that institutions emerge endogenously from a series of social interactions, and the interacting human agents are connected and interdependent at the overlapping interaction platforms. National policies and developmental strategies can be modelled in this approach too. The networks of institutions describe the dynamic connected structure among institutions in the process of social interactions over time. Regarding the national policies response to the recent economic crises, this book argues that the difference comes from the distinct understandings of the tags of the policies, which highly depend on the distinct national contexts, such as national interests, cultural background, political systems and so forth. This book represents a significant contribution to the literature which will be essential reading for those interested in institutional economics, network theory, social structures and economic policy. In particular, the approach of applying network game theory in institutional emergence, and the terms developed, i.e. tags of institutions, and national systems of policies, in this book, are illuminating and deserve more attention.

Game-Theoretic Learning and Distributed Optimization in Memoryless Multi-Agent Systems

Game-Theoretic Learning and Distributed Optimization in Memoryless Multi-Agent Systems PDF Author: Tatiana Tatarenko
Publisher: Springer
ISBN: 3319654799
Category : Science
Languages : en
Pages : 176

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Book Description
This book presents new efficient methods for optimization in realistic large-scale, multi-agent systems. These methods do not require the agents to have the full information about the system, but instead allow them to make their local decisions based only on the local information, possibly obtained during communication with their local neighbors. The book, primarily aimed at researchers in optimization and control, considers three different information settings in multi-agent systems: oracle-based, communication-based, and payoff-based. For each of these information types, an efficient optimization algorithm is developed, which leads the system to an optimal state. The optimization problems are set without such restrictive assumptions as convexity of the objective functions, complicated communication topologies, closed-form expressions for costs and utilities, and finiteness of the system’s state space.

Game Theory in Management Accounting

Game Theory in Management Accounting PDF Author: David Mueller
Publisher: Springer
ISBN: 331961603X
Category : Business & Economics
Languages : en
Pages : 453

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Book Description
This book demonstrates what kind of problems, originating in a management accounting setting, may be solved with game theoretic models. Game theory has experienced growing interest and numerous applications in the field of management accounting. The main focus traditionally has been on the field of non-cooperative behaviour, but the area of cooperative game theory has developed rapidly and has received increasing attention. Intensive research, in combination with the changing culture of publishing, has produced a nearly unmanageable number of publications in the areas concerned. Therefore, one main purpose of this volume is providing an intensive analysis of the intersection of these areas. In addition, the book strengthens the relationship between the theory and the practical applications and it illustrates the two-sided relationship between game theory and management accounting: new game theoretic models offer new fields of applications and these applications raise new questions for the theory.

Supply Chain Management Under Fuzziness

Supply Chain Management Under Fuzziness PDF Author: Cengiz Kahraman
Publisher: Springer
ISBN: 3642539394
Category : Technology & Engineering
Languages : en
Pages : 671

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Book Description
Supply Chain Management Under Fuzziness presents recently developed fuzzy models and techniques for supply chain management. These include: fuzzy PROMETHEE, fuzzy AHP, fuzzy ANP, fuzzy VIKOR, fuzzy DEMATEL, fuzzy clustering, fuzzy linear programming, and fuzzy inference systems. The book covers both practical applications and new developments concerning these methods. This book offers an excellent resource for researchers and practitioners in supply chain management and logistics, and will provide them with new suggestions and directions for future research. Moreover, it will support graduate students in their university courses, such as specialized courses on supply chains and logistics, as well as related courses in the fields of industrial engineering, engineering management and business administration.