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Partition Function Form Games With Probabilistic Beliefs
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Book Synopsis Partition Function Form Games With Probabilistic Beliefs by : Giorgos Stamatopoulos
Download or read book Partition Function Form Games With Probabilistic Beliefs written by Giorgos Stamatopoulos and published by . This book was released on 2019 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: We revisit games in partition function form, i.e. cooperative games where the payoff of a coalition depends on the partition of the entire set of players. We assume that each coalition computes its worth having probabilistic beliefs over the coalitional behavior of the outsiders, i.e., it assigns various probability distributions over the set of partitions that the outsiders can form. We apply this framework to symmetric games with either positive or negative externalities and we derive conditions on coalitional beliefs that guarantee the non-emptiness of the core.
Book Synopsis A Probabilistic Interpretation of N-person Games in Partition Function Form by : Steven W. Gilbert
Download or read book A Probabilistic Interpretation of N-person Games in Partition Function Form written by Steven W. Gilbert and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partition Function Form Games by : László Á Kóczy
Download or read book Partition Function Form Games written by László Á Kóczy and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic overview on partition function form games: a game form in cooperative game theory to integrate externalities for various applications. Cooperative game theory has been immensely useful to study a wide range of issues, but the standard approaches ignore the side effects of cooperation. Recently interest shifted to problems where externalities play the main roles such as models of cooperation in market competition or the shared use of public resources. Such problems require richer models that can explicitly evaluate the side-effects of cooperation. In partition function form games the value of cooperation depends on the outsiders' actions. A recent surge of interest driven by applications has made results very fragmented. This book offers an accessible, yet comprehensive and systematic study of properties, solutions and applications of partition function games surveying both theoretical results and their applications. It assembles a survey of existing research and smaller original results as well as original interpretations and comparisons. The book is self-contained and accessible for readers with little or no knowledge of cooperative game theory.--
Book Synopsis Epistemic Game Theory by : Andrés Perea
Download or read book Epistemic Game Theory written by Andrés Perea and published by Cambridge University Press. This book was released on 2012-06-07 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook to explain the principles of epistemic game theory.
Book Synopsis A Value for N-person Games in Partition Function Form by : Ben McQuillin
Download or read book A Value for N-person Games in Partition Function Form written by Ben McQuillin and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rationality in Extensive Form Games by : Andrés Perea
Download or read book Rationality in Extensive Form Games written by Andrés Perea and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: I would like to use this preface to thank some persons and institutions which have been important during the various stages of writing this book. First of all, I am grateful to Kluwer Academic Publishers for giving me the opportunity to write this book. I started writing the book in 1998 while I was working at the Departament d'Economia i d'Historia Economica at Universidad Autonoma de Barcelona, and continued the writing job from september 1998 to september 2000 at the Departamento de Economfa at Universidad Carlos III de Madrid. The book has been completed while I was visiting the Department of Quantitative Economics at the University of Maastricht from october 2000 to august 2001. I wish to thank these three departments for their hospitality. The book has improved substantially by comments and critique from the following persons who have read parts of the manuscript: Geir Asheim, Eric van Damme, Janos Flesch, Mari-Angeles de Frutos, Diego Moreno, Hans Peters, Antonio Romero and Dries Vermeulen. I should also mention my discussions with Peter Wakker about the decision-theoretic foundations of noncooperative game theory, which have had an important impact on various parts of the book. Finally, I wish to express my warmest gratitude to my parents, my brother and my sister, and, last but not least, to Cati, to whom I dedicate this book.
Book Synopsis ON SOLUTIONS TO N-PERSON GAMES IN PARTITION FUNCTION FORM.. by : WILLIAM FRANKLIN LUCAS
Download or read book ON SOLUTIONS TO N-PERSON GAMES IN PARTITION FUNCTION FORM.. written by WILLIAM FRANKLIN LUCAS and published by . This book was released on 1963 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Epistemic Logic and the Theory of Games and Decisions by : M. Bacharach
Download or read book Epistemic Logic and the Theory of Games and Decisions written by M. Bacharach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The convergence of game theory and epistemic logic has been in progress for two decades and this book explores this further by gathering specialists from different professional communities, i.e., economics, mathematics, philosophy, and computer science. This volume considers the issues of knowledge, belief and strategic interaction, with each contribution evaluating the foundational issues. In particular, emphasis is placed on epistemic logic and the representative topics of backward induction arguments and syntax/semantics and the logical omniscience problem. Part I of this collection deals with iterated knowledge in the multi-agent context, and more particularly with common knowledge. The first two papers in Part II of the collection address the so-called logical omniscience problem, a problem which has attracted much attention in the recent epistemic logic literature, and is pertinent to some of the issues discussed by decision theorists under the heading 'bounded rationality'. The remaining two chapters of section II provide two quite different angles on the strength of S5 (or the partitional model of information)- and so two different reasons for eschewing the strong form of logical omniscience implicit in S5. Part III gives attention to application to game theory and decision theory.
Book Synopsis Compromising in Partition Function from Games and Cooperation in Perfect Extensive Form Games by :
Download or read book Compromising in Partition Function from Games and Cooperation in Perfect Extensive Form Games written by and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Shapley Value for Partition Function Form Games by : Hang (Pham Do Kim)
Download or read book The Shapley Value for Partition Function Form Games written by Hang (Pham Do Kim) and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Game Theory for Political Scientists by : James D. Morrow
Download or read book Game Theory for Political Scientists written by James D. Morrow and published by Princeton University Press. This book was released on 2020-05-05 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is the mathematical analysis of strategic interaction. In the fifty years since the appearance of von Neumann and Morgenstern's classic Theory of Games and Economic Behavior (Princeton, 1944), game theory has been widely applied to problems in economics. Until recently, however, its usefulness in political science has been underappreciated, in part because of the technical difficulty of the methods developed by economists. James Morrow's book is the first to provide a standard text adapting contemporary game theory to political analysis. It uses a minimum of mathematics to teach the essentials of game theory and contains problems and their solutions suitable for advanced undergraduate and graduate students in all branches of political science. Morrow begins with classical utility and game theory and ends with current research on repeated games and games of incomplete information. The book focuses on noncooperative game theory and its application to international relations, political economy, and American and comparative politics. Special attention is given to models of four topics: bargaining, legislative voting rules, voting in mass elections, and deterrence. An appendix reviews relevant mathematical techniques. Brief bibliographic essays at the end of each chapter suggest further readings, graded according to difficulty. This rigorous but accessible introduction to game theory will be of use not only to political scientists but also to psychologists, sociologists, and others in the social sciences.
Book Synopsis An Extension of the Shapley Value to Games in Partition Function Form by : Ben McQuillin
Download or read book An Extension of the Shapley Value to Games in Partition Function Form written by Ben McQuillin and published by . This book was released on 2004 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Shapley Value for Partition Function Form Games by : Kim Hang Pham Do
Download or read book The Shapley Value for Partition Function Form Games written by Kim Hang Pham Do and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Game and Economic Theory by : Sergiu Hart
Download or read book Game and Economic Theory written by Sergiu Hart and published by University of Michigan Press. This book was released on 1995 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outstanding works showing the application of game theory to economic theory.
Book Synopsis Game Theory, Experience, Rationality by : W. Leinfellner
Download or read book Game Theory, Experience, Rationality written by W. Leinfellner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: When von Neumann's and Morgenstern's Theory of Games and Economic Behavior appeared in 1944, one thought that a complete theory of strategic social behavior had appeared out of nowhere. However, game theory has, to this very day, remained a fast-growing assemblage of models which have gradually been united in a new social theory - a theory that is far from being completed even after recent advances in game theory, as evidenced by the work of the three Nobel Prize winners, John F. Nash, John C. Harsanyi, and Reinhard Selten. Two of them, Harsanyi and Selten, have contributed important articles to the present volume. This book leaves no doubt that the game-theoretical models are on the right track to becoming a respectable new theory, just like the great theories of the twentieth century originated from formerly separate models which merged in the course of decades. For social scientists, the age of great discover ies is not over. The recent advances of today's game theory surpass by far the results of traditional game theory. For example, modem game theory has a new empirical and social foundation, namely, societal experiences; this has changed its methods, its "rationality. " Morgenstern (I worked together with him for four years) dreamed of an encompassing theory of social behavior. With the inclusion of the concept of evolution in mathematical form, this dream will become true. Perhaps the new foundation will even lead to a new name, "conflict theory" instead of "game theory.
Book Synopsis Internal Game Theory by : Tassos Patokos
Download or read book Internal Game Theory written by Tassos Patokos and published by Routledge. This book was released on 2013-04-17 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditional game theory requires at least two individuals. This book extends game theory to the inner workings of a single person. Using game theory to analyse single individuals makes sense if one thinks of individuals as consisting of two or more relatively autonomous partitions that might have conflicting motives. This is not to say that individuals are literally made up from multiple selves; it only suffices that we adopt a portrayal of the individual as a multilayered entity or of a dual nature, in a manner similar to Adam Smith’s depiction of an "impartial spectator" existing within the individual, The notion that individuals may be considered as collections of distinct partitions or "sub-selves" has been challenging writers from diverse fields for many centuries. This book breaks new ground in combining psychological with evolutionary game theory, making for a highly promising way towards a better understanding of the individual and the development of their behaviour, along with the individual’s own perceptions on it.
