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Books > Science & Mathematics > Mathematics > Optimization > Game theory
Dieses Buch bietet eine anwendungsorientierte Darstellung mathematischer Methoden der Risikomodellierung und -analyse. Ein besonderes Anliegen ist ein ubergreifender Ansatz, in dem finanz- und versicherungsmathematische Aspekte gemeinsam behandelt werden, etwa hinsichtlich Simulationsmethoden, Risikokennzahlen und Risikoaggregation. So bildet das Buch eine fundierte Grundlage fur quantitativ orientiertes Risikomanagement in verschiedensten Bereichen und weckt das Verstandnis fur Zusammenhange, die in spartenspezifischer Literatur oft nicht angesprochen werden. Zahlreiche Beispiele stellen immer wieder den konkreten Bezug zur Praxis her. In der 2. Auflage wurden Abschnitte uber Extremwerttheorie und strukturierte Finanzprodukte (Zertifikate) erganzt und neue Beispiele z.B. zum Asset-Liability-Management aufgenommen."
A mathematical tool for scientists and researchers who work with computer and communication networks, Game Theory in Communication Networks: Cooperative Resolution of Interactive Networking Scenarios addresses the question of how to promote cooperative behavior in interactive situations between heterogeneous entities in communication networking scenarios. It explores network design and management from a theoretical perspective, using game theory and graph theory to analyze strategic situations and demonstrate profitable behaviors of the cooperative entities. The book promotes the use of Game Theory to address important resource management and security issues found in next generation communications networks, particularly heterogeneous networks, for cases where cooperative interactive networking scenarios can be formulated. It provides solutions for representative mechanisms that need improvement by presenting a theoretical step-by-step approach. The text begins with a presentation of theory that can be used to promote cooperation for the entities in a particular interactive situation. Next, it examines two-player interaction as well as interactions between multiple players. The final chapter presents and examines a performance evaluation framework based on MATLAB(r). Each chapter begins by introducing basic theory for dealing with a particular interactive situation and illustrating how particular aspects of game theory can be used to formulate and solve interactive situations that appear in communication networks regularly. The second part of each chapter presents example scenarios that demonstrate the applicability and power of the theory illustrating a number of cooperative interactions and discussing how they could be addressed within the theoretical framework presented in the first part of the chapter. The book also includes simulation code that can be downloaded so you can use some or all of the proposed models to improve your own network designs. Specific topics covered include network selection, user-network interaction, network synthesis, and context-aware security provisioning.
"Optimierung" ist ein grundlegender Vorlesungszyklus in der
angewandten Mathematik. Es geht dabei um die genaue und schnelle
Berechnung der besten Entscheidung, wenn eine grosse Menge von
Entscheidungsmoglichkeiten zur Auswahl steht. Mit diesem Buch liegt
eine Sammlung von Ubungs- und Klausuraufgaben mit kompletten,
mathematischen Losungen vor, die in langjahriger Lehrtatigkeit
zusammengetragen wurde. Eine umfassende Sammlung, die das
Bachelorwissen abdeckt. Sie eignet sich als Ubungsmaterial fur
Studierende und als Anregungs- und Auswahlfundus fur
Aufgabensteller. Die Aufgaben gehen direkt auf das Lehrniveau ein -
kein Uberspringen von Schwierigkeiten - und sind so aufbereitet,
dass eine Erfolgskontrolle fur die Studierenden moglich ist.
Game theory has become increasingly popular among undergraduate aswell as business school students. This text is the first to provideboth a complete theoretical treatment of the subject and a variety ofreal-world applications, primarily in economics, but also in business,political science, and the law. Game theory has become increasingly popular among undergraduate as well as business school students. This text is the first to provide both a complete theoretical treatment of the subject and a variety of real-world applications, primarily in economics, but also in business, political science, and the law. Strategies and Games grew out of Prajit Dutta's experience teaching a course in game theory over the last six years at Columbia University.The book is divided into three parts: Strategic Form Games and Their Applications, Extensive Form Games and Their Applications, and Asymmetric Information Games and Their Applications. The theoretical topics include dominance solutions, Nash equilibrium, backward induction, subgame perfect equilibrium, repeated games, dynamic games, Bayes-Nash equilibrium, mechanism design, auction theory, and signaling. An appendix presents a thorough discussion of single-agent decision theory, as well as the optimization and probability theory required for the course.Every chapter that introduces a new theoretical concept opens with examples and ends with a case study. Case studies include Global Warming and the Internet, Poison Pills, Treasury Bill Auctions, and Final Jeopardy. Each part of the book also contains several chapter-length applications including Bankruptcy Law, the NASDAQ market, OPEC, and the Commons problem. This is also the first text to provide a detailed analysis of dynamic strategic interaction.
This advanced text introduces the principles of noncooperative game theory in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. This advanced text introduces the principles of noncooperative game theory-including strategic form games, Nash equilibria, subgame perfection, repeated games, and games of incomplete information-in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.
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