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Cooperative Games On Combinatorial Structures
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Book Synopsis Cooperative Games on Combinatorial Structures by : Jesús Mario Bilbao
Download or read book Cooperative Games on Combinatorial Structures written by Jesús Mario Bilbao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cooperative Games, Solutions and Applications by : Theo S. H. Driessen
Download or read book Cooperative Games, Solutions and Applications written by Theo S. H. Driessen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the theory of games was started in Von Neumann (1928), but the development of the theory of games was accelerated after the publication of the classical book "Theory of games and economic behavior" by Von Neumann and Morgenstern (1944). As an initial step, the theory of games aims to put situations of conflict and cooperation into mathematical models. In the second and final step, the resulting models are analysed on the basis of equitable and mathematical reasonings. The conflict and/or cooperative situation in question is generally due to the interaction between two or more individuals (players). Their interaction may lead up to several potential payoffs over which each player has his own preferences. Any player attempts to achieve his largest possible payoff, but the other players may also exert their influence on the realization of some potential payoff. As already mentioned, the theory of games consists of two parts, a modelling part and a solution part. Concerning the modelling part, the mathematical models of conflict and cooperative situations are described. The description of the models includes the rules, the strategy space of any player, potential payoffs to the players, the preferences of each player over the set of all potential payoffs, etc. According to the rules, it is either permitted or forbidden that the players communicate with one another in order to make binding agreements regarding their mutual actions.
Book Synopsis Cooperative Game Theory and Applications by : Imma Curiel
Download or read book Cooperative Game Theory and Applications written by Imma Curiel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.
Book Synopsis Models for Cooperative Games with Fuzzy Relations among the Agents by : Andrés Jiménez-Losada
Download or read book Models for Cooperative Games with Fuzzy Relations among the Agents written by Andrés Jiménez-Losada and published by Springer. This book was released on 2017-04-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to cooperative game theory and a practice-oriented reference guide to new models and tools for studying bilateral fuzzy relations among several agents or players. It introduces the reader to several fuzzy models, each of which is first analyzed in the context of classical games (crisp games) and subsequently in the context of fuzzy games. Special emphasis is given to the value of Shapley, which is presented for the first time in the context of fuzzy games. Students and researchers will find here a self-contained reference guide to cooperative fuzzy games, characterized by a wealth of examples, descriptions of a wide range of possible situations, step-by-step explanations of the basic mathematical concepts involved, and easy-to-follow information on axioms and properties.
Book Synopsis Algorithmic Game Theory by : Tobias Harks
Download or read book Algorithmic Game Theory written by Tobias Harks and published by Springer Nature. This book was released on 2020-09-08 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Symposium on Algorithmic Game Theory, SAGT 2020, held in Augsburg, Germany, in September 2020.* The 21 full papers presented together with 3 abstract papers were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections named: auctions and mechanism design, congestion games and flows over time, markets and matchings, scheduling and games on graphs, and social choice and cooperative games. * The conference was held virtually due to the COVID-19 pandemic.
Book Synopsis Language and Automata Theory and Applications by : Adrian-Horia Dediu
Download or read book Language and Automata Theory and Applications written by Adrian-Horia Dediu and published by Springer. This book was released on 2016-02-29 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Language and Automata Theory and Applications, LATA 2016, held in Prague, Czech Republic, in March 2016. The 42 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 119 submissions. The papers cover the following topics: algebraic language theory; algorithms for semi-structured data mining, algorithms on automata and words; automata and logic; automata for system analysis and program verification; automata networks, concurrency and Petri nets; automatic structures; cellular automata, codes, combinatorics on words; computational complexity; data and image compression; descriptional complexity; digital libraries and document engineering; foundations of finite state technology; foundations of XML; fuzzy and rough languages; grammatical inference and algorithmic learning; graphs and graph transformation; language varieties and semigroups; parallel and regulated rewriting; parsing; patterns; string and combinatorial issues in computational biology and bioinformatics; string processing algorithms; symbolic dynamics; term rewriting; transducers; trees, tree languages and tree automata; weighted automata.
Book Synopsis Network Theory and Agent-Based Modeling in Economics and Finance by : Anindya S. Chakrabarti
Download or read book Network Theory and Agent-Based Modeling in Economics and Finance written by Anindya S. Chakrabarti and published by Springer Nature. This book was released on 2019-10-23 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest findings on network theory and agent-based modeling of economic and financial phenomena. In this context, the economy is depicted as a complex system consisting of heterogeneous agents that interact through evolving networks; the aggregate behavior of the economy arises out of billions of small-scale interactions that take place via countless economic agents. The book focuses on analytical modeling, and on the econometric and statistical analysis of the properties emerging from microscopic interactions. In particular, it highlights the latest empirical and theoretical advances, helping readers understand economic and financial networks, as well as new work on modeling behavior using rich, agent-based frameworks. Innovatively, the book combines observational and theoretical insights in the form of networks and agent-based models, both of which have proved to be extremely valuable in understanding non-linear and evolving complex systems. Given its scope, the book will capture the interest of graduate students and researchers from various disciplines (e.g. economics, computer science, physics, and applied mathematics) whose work involves the domain of complexity theory.
Book Synopsis Institutional Design and Voting Power in the European Union by : Karol Zyczkowski
Download or read book Institutional Design and Voting Power in the European Union written by Karol Zyczkowski and published by Routledge. This book was released on 2016-05-23 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading global experts in the field of politics and mathematics bring forth key insights on how voting power should be allocated between EU member states, and what the policy consequences are of any given institutional design. Close attention is paid to the practical implications of decision-making rules, the nature and distribution of power, and the most equitable ways to represent the preoccupations of European citizens both in the Council and European Parliament. Highly theoretical and methodologically advanced, this volume is set to enrich the debate on the future of the EU's institutional design. A valuable source of information to scholars of political science, European studies and law, as well as to people working on game theory, theory of voting and, in general, applications of mathematics to social science.
Book Synopsis Integrated Uncertainty Management and Applications by : Van-Nam Huynh
Download or read book Integrated Uncertainty Management and Applications written by Van-Nam Huynh and published by Springer Science & Business Media. This book was released on 2010-03-26 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving practical problems often requires the integration of information and knowledge from many different sources, taking into account uncertainty and impreciseness. The 2010 International Symposium on Integrated Uncertainty Management and Applications (IUM’2010), which takes place at the Japan Advanced Institute of Science and Technology (JAIST), Ishikawa, Japan, between 9th–11th April, is therefore conceived as a forum for the discussion and exchange of research results, ideas for and experience of application among researchers and practitioners involved with all aspects of uncertainty modelling and management.
Book Synopsis Algorithmic Game Theory by : Berthold Vöcking
Download or read book Algorithmic Game Theory written by Berthold Vöcking and published by Springer. This book was released on 2013-10-09 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pareto Optimality, Game Theory and Equilibria by : Panos M. Pardalos
Download or read book Pareto Optimality, Game Theory and Equilibria written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2008-07-02 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.
Book Synopsis Chapters in Game Theory by : Peter Borm
Download or read book Chapters in Game Theory written by Peter Borm and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Aspects of Cooperative Game Theory by : Georgios Raedt
Download or read book Computational Aspects of Cooperative Game Theory written by Georgios Raedt and published by Springer Nature. This book was released on 2022-05-31 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis ECAI 2010 by : European Coordinating Committee for Artificial Intelligence
Download or read book ECAI 2010 written by European Coordinating Committee for Artificial Intelligence and published by IOS Press. This book was released on 2010 with total page 1184 pages. Available in PDF, EPUB and Kindle. Book excerpt: LC copy bound in 2 v.: v. 1, p. 1-509; v. 2, p. [509]-1153.
Book Synopsis Environmental Economics and Sustainability by : Brian Chi-ang Lin
Download or read book Environmental Economics and Sustainability written by Brian Chi-ang Lin and published by John Wiley & Sons. This book was released on 2017-02-16 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Environmental Economics and Sustainability presents a collection of peer-reviewed research articles contributed by international experts that reveal the current state of our knowledge in the field of environmental economics. Presents the latest research results on a plethora of issues relating to environmental economics and sustainability Features original contributions from top experts in the field from around the world Addresses several of the contemporary challenges of sustainability while infusing new energy into the field of environmental economics Covers myriad topics relating to environmental economics and sustainability including climate change, air pollution, CO2 emissions, recycling, and the international environmental agreement
Book Synopsis Mathematics Applied to Engineering, Modelling, and Social Issues by : Frank T. Smith
Download or read book Mathematics Applied to Engineering, Modelling, and Social Issues written by Frank T. Smith and published by Springer. This book was released on 2019-03-14 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems.
Book Synopsis Multiobjective Programming and Goal Programming by : Vincent Barichard
Download or read book Multiobjective Programming and Goal Programming written by Vincent Barichard and published by Springer Science & Business Media. This book was released on 2009-01-30 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives the reader an insight into the state of the art in the field of multiobjective (linear, nonlinear and combinatorial) programming, goal programming and multiobjective metaheuristics. The 26 papers describe all relevant trends in this fields of research . They cover a wide range of topics ranging from theoretical investigations to algorithms, dealing with uncertainty, and applications to real world problems such as engineering design, water distribution systems and portfolio selection. The book is based on the papers of the seventh international conference on multiple objective programming and goal programming (MOPGP06).
