Cooperative Games on Combinatorial Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cooperative Games on Combinatorial Structures write by Jesús Mario Bilbao. This book was released on 2012-12-06. Cooperative Games on Combinatorial Structures available in PDF, EPUB and Kindle. The aim of Cooperative Games on Combinatorial Structures is to analyze conflict situations in which two or more players can make coalitions and obtain prizes and penalties. This approach to situations of competition and cooperation was given in the seminal treatise by John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior. Cooperative game theory has succeeded in providing many applications of game theory. In this volume, games defined on combinatorial structures will be analyzed, i.e. a set system over a set of players. In many situations the author will work in a closure space. Examples of closure operators are the spanning operator of linear algebra and all convex hull operators. Chapters 1-4 constitute a review of mathematical concepts from Cooperative Game Theory, Graph Theory, Linear and Integer Programming, Combinatorial Optimization, Discrete Convex Analysis and Computational Complexity. The table of contents is a short guide to the topics and methods covered in this book. In Chapters 11 and 12, several notebooks are presented with the system Mathematica by Wolfram in the contexts of the packages DiscreteMath (Skiena) and Cooperative (Carter). There will also be found in the book several research projects. These are intended to offer new ideas that the reader should consider with caution. This book will be of interest to graduate students with some experience in game theory or mathematical programming and professional researchers in game theory, operational research and its applications in economic theory, and the political and social sciences. In addition, it will be especially useful for professionals who are interested in models for understanding and managing conflicts: management and operational research scientists, political and military scientists, and professional negotiators.
Computational Aspects of Cooperative Game Theory
Computational Aspects of Cooperative Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Aspects of Cooperative Game Theory write by Georgios Raedt. This book was released on 2022-05-31. Computational Aspects of Cooperative Game Theory available in PDF, EPUB and Kindle. Cooperative game theory is a branch of (micro-)economics that studies the behavior of self-interested agents in strategic settings where binding agreements among agents are possible. Our aim in this book is to present a survey of work on the computational aspects of cooperative game theory. We begin by formally defining transferable utility games in characteristic function form, and introducing key solution concepts such as the core and the Shapley value. We then discuss two major issues that arise when considering such games from a computational perspective: identifying compact representations for games, and the closely related problem of efficiently computing solution concepts for games. We survey several formalisms for cooperative games that have been proposed in the literature, including, for example, cooperative games defined on networks, as well as general compact representation schemes such as MC-nets and skill games. As a detailed case study, we consider weighted voting games: a widely-used and practically important class of cooperative games that inherently have a natural compact representation. We investigate the complexity of solution concepts for such games, and generalizations of them. We briefly discuss games with non-transferable utility and partition function games. We then overview algorithms for identifying welfare-maximizing coalition structures and methods used by rational agents to form coalitions (even under uncertainty), including bargaining algorithms. We conclude by considering some developing topics, applications, and future research directions.
Combinatorial Methods in Cooperative Game Theory
Combinatorial Methods in Cooperative Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial Methods in Cooperative Game Theory write by Jeroen Kuipers. This book was released on 1994. Combinatorial Methods in Cooperative Game Theory available in PDF, EPUB and Kindle.
Cooperative Game Theory Tools in Coalitional Control Networks
Cooperative Game Theory Tools in Coalitional Control Networks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cooperative Game Theory Tools in Coalitional Control Networks write by Francisco Javier Muros. This book was released on 2019-04-24. Cooperative Game Theory Tools in Coalitional Control Networks available in PDF, EPUB and Kindle. This book analyzes coalitional control schemes by incorporating concepts of cooperative game theory into a distributed control framework. It considers a networked architecture where the nodes are the agents and the edges are their communication links and either the agents or the links are established as the players of cooperative games related to the cost function of the coalitional schemes. The book discusses various cooperative game theory tools that are used to measure/analyze the players’ features, impose constraints on them, provide alternative methods of game computation, detect critical players inside the control scheme, and perform system partitioning of large-scale systems, such as the Barcelona drinking water network, which is described in a case study.
The Core and the T-value for Cooperative Games with Coalition Structures
The Core and the T-value for Cooperative Games with Coalition Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Core and the T-value for Cooperative Games with Coalition Structures write by Theodorus Stephanus Hubertus Driessen. This book was released on 1990. The Core and the T-value for Cooperative Games with Coalition Structures available in PDF, EPUB and Kindle.
