A Kernel Variant For General Cooperative Games
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| Author | : Holger Ingmar Meinhardt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 270 |
| Release | : 2013-10-23 |
| Genre | : Mathematics |
| ISBN | : 364239549X |
This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.
| Author | : J.F. Mertens |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 260 |
| Release | : 2013-04-18 |
| Genre | : Business & Economics |
| ISBN | : 9401716560 |
JEAN-FRANQOIS MERTENS This book presents a systematic exposition of the use of game theoretic methods in general equilibrium analysis. Clearly the first such use was by Arrow and Debreu, with the "birth" of general equi librium theory itself, in using Nash's existence theorem (or a generalization) to prove the existence of a competitive equilibrium. But this use appeared possibly to be merely tech nical, borrowing some tools for proving a theorem. This book stresses the later contributions, were game theoretic concepts were used as such, to explain various aspects of the general equilibrium model. But clearly, each of those later approaches also provides per sea game theoretic proof of the existence of competitive equilibrium. Part A deals with the first such approach: the equality between the set of competitive equilibria of a perfectly competitive (i.e., every trader has negligible market power) economy and the core of the corresponding cooperative game.
| Author | : Roger B. Myerson |
| Publisher | : Harvard University Press |
| Total Pages | : 585 |
| Release | : 2013-03-01 |
| Genre | : Business & Economics |
| ISBN | : 0674728610 |
Eminently suited to classroom use as well as individual study, Roger Myerson's introductory text provides a clear and thorough examination of the models, solution concepts, results, and methodological principles of noncooperative and cooperative game theory. Myerson introduces, clarifies, and synthesizes the extraordinary advances made in the subject over the past fifteen years, presents an overview of decision theory, and comprehensively reviews the development of the fundamental models: games in extensive form and strategic form, and Bayesian games with incomplete information.
| Author | : Nimrod Megiddo |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 209 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461226481 |
This volume presents a collection of papers on game theory dedicated to Michael Maschler. Through his dedication and contributions to game theory, Maschler has become an important figure particularly in the area of cooperative games. Game theory has since become an important subject in operations research, economics and management science. As befits such a volume, the main themes covered are cooperative games, coalitions, repeated games, and a cost allocation games. All the contributions are authoritative surveys of a particular topic, so together they will present an invaluable overview of the field to all those working on game theory problems.
| Author | : |
| Publisher | : |
| Total Pages | : 492 |
| Release | : 1991-12-20 |
| Genre | : Economics |
| ISBN | : |
| Author | : Bhaskar Dutta |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 495 |
| Release | : 2013-03-09 |
| Genre | : Business & Economics |
| ISBN | : 3540247904 |
When Murat Sertel asked us whether we would be interested in organizing a special issue of the Review of Economic Design on the formation of networks and groups, we were happy to accept because of the growing research on this important topic. We were also pleasantly surprised at the response to our request for submissions to the special issue, receiving a much larger number of sub missions than we had anticipated. In the end we were able to put together two special issues of insightful papers on this topic. Given the growing interest in this topic, we also decided (with encouragement from Murat) to combine the special issues in the form of a book for wider dissemination. However, once we had decided to edit the book, it was natural to move beyond the special issue to include at least some of the papers that have been influential in the literature on the formation of networks. These papers were published in other journals, and we are very grateful to the authors as well as the journals for permission to include these papers in the book.
| Author | : |
| Publisher | : Springer |
| Total Pages | : 7493 |
| Release | : 2016-05-18 |
| Genre | : Law |
| ISBN | : 1349588024 |
The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.
| Author | : Samson Lasaulce |
| Publisher | : Academic Press |
| Total Pages | : 346 |
| Release | : 2011-09-19 |
| Genre | : Business & Economics |
| ISBN | : 0123846986 |
This is the first comprehensive tutorial on game theory and its application to wireless communications. The book starts with a guide to the essential principles of game theory relevant to the communications engineer, giving tools that can be used to develop applications in wireless communications. It explains how game theory models can be applied to distributed resource allocation in a perfect world. Having clarified how the models can be applied in principle, the book then gives practical implementation methods for the real world, showing how the models in the perfect world need to be adapted to real life situations which are far from perfect. The first tutorial style book that gives all the relevant theory, at the right level of rigour, for the wireless communications engineer Bridges the gap between theory and practice by giving examples and case studies showing how game theory can solve real world resource allocation problems Contains algorithms and techniques to implement game theory in wireless terminals.
| Author | : Imma Curiel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 198 |
| Release | : 2013-03-14 |
| Genre | : Business & Economics |
| ISBN | : 147574871X |
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.
| Author | : Bezalel Peleg |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 336 |
| Release | : 2007-08-15 |
| Genre | : Business & Economics |
| ISBN | : 3540729453 |
This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games as well as the core, the Shapley value, and the ordinal bargaining set of NTU games. The authors devote a separate chapter to each solution, wherein they study its properties in full detail. In addition, important variants are defined or even intensively analyzed.
