The Cooperative Game Theory Of Networks And Hierarchies
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The Cooperative Game Theory of Networks and Hierarchies
Author: Robert P. Gilles
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-04-02
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.
Economic Wealth Creation and the Social Division of Labour
‘This is the second book of a two-volume set that continues Adam Smith's work, using the tools mathematical, experimental, and behavioural economists have developed since 1776. As in the first volume, markets are not the central organising principle. Instead, attention centres on social institutions and the division of labour that they enable. The book studies this via the endogenous division of labour that existing institutions help form. The first book in the series examined this problem deeply, resorting minimally to formal mathematical modelling; the second volume is where the formal modelling blossoms. General equilibrium theory meets network theory and receives a breath of fresh air, including a new viewpoint on economic inequality, the newly resurgent bane of capitalism. What I said for the first volume applies to this second volume equally: if you care to understand the economy, this book belongs to your bookshelf.’ —Dimitrios Diamantaras, Temple University, Philadelphia, USA This textbook introduces and develops new tools to understand the recent economic crisis and how desirable economic policies can be adopted. Gilles provides new institutional concepts for wealth creation, such as network economies, which are based on the social division of labour. This second volume introduces mathematical theories of the endogenous formation of social divisions of labour through which economic wealth is created. Gilles also investigates the causes of inequality in the social division of labour under imperfectly competitive conditions. These theories frame a comprehensive, innovative and consistent perspective on the functioning of the twenty-first century global economy, explaining many of its failings. Suitable reading for advanced undergraduate, MSc and postgraduate students in microeconomic analysis, economic theory and political economy.
Optimal Transport
Author: Gershon Wolansky
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2021-01-18
This book focuses on problems at the interplay between the theory of partitions and optimal transport with a view toward applications. Topics covered include problems related to stable marriages and stable partitions, multipartitions, optimal transport for measures and optimal partitions, and finally cooperative and noncooperative partitions. All concepts presented are illustrated by examples from game theory, economics, and learning.