An Introduction to Allocation Rules

An Introduction to Allocation Rules
Author: Jens Leth Hougaard
Publisher: Springer Science & Business Media
Total Pages: 163
Release: 2009-07-09
Genre: Business & Economics
ISBN: 3642018289

This book provides an overview of existing methods for allocating costs and benefits. It will help readers evaluate the pros and cons of various methods involved in terms of factors such as fairness, consistency, stability, monotonicity and manipulability.

Allocation in Networks

Allocation in Networks
Author: Jens Leth Hougaard
Publisher: MIT Press
Total Pages: 297
Release: 2018-11-06
Genre: Business & Economics
ISBN: 0262038641

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.

The Cooperative Game Theory of Networks and Hierarchies

The Cooperative Game Theory of Networks and Hierarchies
Author: Robert P. Gilles
Publisher: Springer Science & Business Media
Total Pages: 264
Release: 2010-04-02
Genre: Mathematics
ISBN: 3642052827

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.

Network Economics and the Allocation of Savings

Network Economics and the Allocation of Savings
Author: Philipp Servatius
Publisher: Springer Science & Business Media
Total Pages: 307
Release: 2011-10-20
Genre: Business & Economics
ISBN: 3642210961

This book provides a game theoretic model of interaction among VoIP telecommunications providers regarding their willingness to enter peering agreements with one another. The author shows that the incentive to peer is generally based on savings from otherwise payable long distance fees. At the same time, termination fees can have a countering and dominant effect, resulting in an environment in which VoIP firms decide against peering. Various scenarios of peering and rules for allocation of the savings are considered. The first part covers the relevant aspects of game theory and network theory, trying to give an overview of the concepts required in the subsequent application. The second part of the book introduces first a model of how the savings from peering can be calculated and then turns to the actual formation of peering relationships between VoIP firms. The conditions under which firms are willing to peer are then described, considering the possible influence of a regulatory body.

Chapters in Game Theory

Chapters in Game Theory
Author: Peter Borm
Publisher: Springer Science & Business Media
Total Pages: 327
Release: 2006-04-11
Genre: Business & Economics
ISBN: 030647526X

Chapters in Game Theory has been written on the occasion of the 65th birthday of Stef Tijs, who can be regarded as the godfather of game theory in the Netherlands. The contributors all are indebted to Stef Tijs, as former Ph.D. students or otherwise. The book contains fourteen chapters on a wide range of subjects. Some of these can be considered surveys while other chapters present new results: most contributions can be positioned somewhere in between these categories. The topics covered include: cooperative stochastic games; noncooperative stochastic games; sequencing games; games arising form linear (semi-) infinite programming problems; network formation, costs and potential games; potentials and consistency in transferable utility games; the nucleolus and equilibrium prices; population uncertainty and equilibrium selection; cost sharing; centrality in social networks; extreme points of the core; equilibrium sets of bimatrix games; game theory and the market; and transfer procedures for nontransferable utility games. Both editors did their Ph.D with Stef Tijs, while he was affiliated with the mathematics department of the University of Nijmegen.

Social and Economic Networks

Social and Economic Networks
Author: Matthew O. Jackson
Publisher: Princeton University Press
Total Pages: 519
Release: 2010-11-01
Genre: Business & Economics
ISBN: 140083399X

Networks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. The many aspects of our lives that are governed by social networks make it critical to understand how they impact behavior, which network structures are likely to emerge in a society, and why we organize ourselves as we do. In Social and Economic Networks, Matthew Jackson offers a comprehensive introduction to social and economic networks, drawing on the latest findings in economics, sociology, computer science, physics, and mathematics. He provides empirical background on networks and the regularities that they exhibit, and discusses random graph-based models and strategic models of network formation. He helps readers to understand behavior in networked societies, with a detailed analysis of learning and diffusion in networks, decision making by individuals who are influenced by their social neighbors, game theory and markets on networks, and a host of related subjects. Jackson also describes the varied statistical and modeling techniques used to analyze social networks. Each chapter includes exercises to aid students in their analysis of how networks function. This book is an indispensable resource for students and researchers in economics, mathematics, physics, sociology, and business.

Social and Economic Networks in Cooperative Game Theory

Social and Economic Networks in Cooperative Game Theory
Author: Marco Slikker
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2012-12-06
Genre: Business & Economics
ISBN: 1461515696

Social and Economic Networks in Cooperative Game Theory presents a coherent overview of theoretical literature that studies the influence and formation of networks in social and economic situations in which the relations between participants who are not included in a particular participant's network are not of consequence to this participant. The material is organized in two parts. In Part I the authors concentrate on the question how network structures affect economic outcomes. Part II of the book presents the formation of networks by agents who engage in a network-formation process to be able to realize the possible gains from cooperation.