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Books > Science & Mathematics > Mathematics > Optimization > Game theory
In a globalized economy logistics has become a crucial area for the success of companies. The performance of each company depends on the performance of its suppliers and of its business partners. The customers of each company are spread on a large geographical space. For this reason distribution logistics is the most important and complex part of logistics. An efficient and effective management of distribution logistics is a key issue for the success of a company. There are many different problems to deal with, from facility location to transportation, to inventory management, and, most important, to the integration and optimization of the entire logistics network. Quantitative methods provide relevant tools to support decisions, from strategic to operational, in distribution logistics.
The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of non-atomic games, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics--a study of non-additive set functions and associated linear operators. Originally published in 1974. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
This monograph develops a method of creating convenient coordinate systems for game theory that will allow readers to more easily understand, analyze, and create games at various levels of complexity. By identifying the unique characterization of games that separates the individual's strategic interests from the group's collective behavior, the authors construct a single analytical methodology that readers will be able to apply to a wide variety of games. With its emphasis on practicality and approachability, readers will find this book an invaluable tool, and a viable alternative to the ad hoc analytical approach that has become customary for researchers utilizing game theory. The introductory chapters serve two important purposes: they review several games of fundamental importance, and also introduce a dynamic that is inherent in games, but has gone unexplored until now. After this has been established, readers will advance from simple 2 x 2 games to games with more player strategies and dynamics. For interested readers, a rigorous treatment of the underlying mathematics is conveniently gathered at the end of the book. Additional topics of interest, such as extensive form and coalitional games, are presented to help readers visualize more complex settings that will be vital in aiding the understanding of advanced topics, such as coalition-free Nash points, multi-player repeated games, and more. Coordinate Systems for Games is ideal for a wide variety of researchers interested in game theory, including social scientists, economists, mathematicians, computer scientists, and more. The authors' approachable style also makes this accessible to an audience at any scale of experience, from beginning non-specialists to more practiced researchers.
This textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools. Financial interactions are characterized by a vast amount of data and uncertainty; navigating the inherent dangers and hidden opportunities requires a keen understanding of what techniques to apply and when. By exploring the conceptual foundations of options pricing, the author equips readers to choose their tools with a critical eye and adapt to emerging challenges. Introducing the basics of gambles through realistic scenarios, the text goes on to build the core financial techniques of Puts, Calls, hedging, and arbitrage. Chapters on modeling and probability lead into the centerpiece: the Black-Scholes equation. Omitting the mechanics of solving Black-Scholes itself, the presentation instead focuses on an in-depth analysis of its derivation and solutions. Advanced topics that follow include the Greeks, American options, and embellishments. Throughout, the author presents topics in an engaging conversational style. "Intuition breaks" frequently prompt students to set aside mathematical details and think critically about the relevance of tools in context. Mathematics of Finance is ideal for undergraduates from a variety of backgrounds, including mathematics, economics, statistics, data science, and computer science. Students should have experience with the standard calculus sequence, as well as a familiarity with differential equations and probability. No financial expertise is assumed of student or instructor; in fact, the text's deep connection to mathematical ideas makes it suitable for a math capstone course. A complete set of the author's lecture videos is available on YouTube, providing a comprehensive supplementary resource for a course or independent study.
Otto Opitz feiert im Juni 1999 seinen sechzigsten Geburtstag. Aus diesem Anlass haben sich Schuler, ihm nahestehende Kollegen und Freunde ent- schlossen, die nachfolgende Festschrift zu erstellen. Dass sich dabei eine hohe Korrelation zwischen den wissenschaftlichen Interessensgebieten von Otto Opitz und den Themen der eingegangenen Beitrage gezeigt hat, ist nicht er- staunlich und hat die Strukturierung dieses Bandes erleichtert. Ein Auszug seiner wissenschaftlichen Tatigkeiten findet sich am Ende des Bandes. Eines der wichtigsten Betatigungsfelder von Otto Opitz kann mit Daten- analyse und Klassifikation umschrieben werden. Und so, wie sich diese For- schungsrichtung aus der Statistik entwickelt hat, ist in jungster Zeit eine Diskussion zu beobachten, die Data Mining als neues Forschungsgebiet zu etablieren sucht. Zu bevorzugten Anwendungsbereichen von Aktivitaten aus den zuvor genannten Gebieten haben fur Otto Opitz stets Marktforschung und Marketing gehoert, und nicht nur seine Beschaftigung mit Methoden der Bankmarktforschung belegt, dass auch die mit Kapital und Risiko umschreib- bare Forschungsrichtung sein Interesse gefunden hat. Schon in fruhen Arbei- ten von Otto Opitz finden sich spieltheoretische UEberlegungen, die Aus- gangspunkt fur Forschungsaktivitaten in den Gebieten Operations Research und Unternehmensplanung sowie Volkswirtschaftslehre waren. Naturlich ha- ben Entwicklungen in der Informatik seine wissenschaftlichen Arbeiten be- pe-gestutzter Software zur Datenana- einflusst, wobei die Bereitstellung von lyse den Methodeneinsatz in der Lehre unterstutzt hat.
Dieses Buch wendet sich an Studierende der Wirtschaftswissenschaften, die sich im Grundstudium gezielt und effektiv auf Klausuren in Mathematik und Statistik vorbereiten wollen. Klausuraufgaben besitzen ihre eigene Spezifik: sie sind nicht zu leicht, aber auch nicht zu arbeitsaufwandig. Dem oft von Studierenden geausserten Wunsch nach solchen Aufgaben kommt das vorliegende Buch mit einer Vielzahl von gestellten Problemen, Original-Klausuraufgaben, zugehoerigen Loesungshinweisen sowie komplett durchgerechneten Loesungen in umfassender Weise nach. Die vierte Auflage zeichnet sich dadurch aus, dass ein Kapitel zur deskriptiven Statistik und ein kurzes Kapitel uber haufig begangene Fehler neu aufgenommen wurden. Ferner fanden drei aktuelle Klausuren zusammen mit ihren Musterloesungen Aufnahme in das Buch.
Despite significant achievements, the discipline of supply chain management is still unable to satisfactorily handle many practical real-world challenges. The authors of Networks Against Time claim that a unified supply chain network analytics framework is needed which should be able to handle optimization and competitive behavior while also maintain relevance to many industrial sectors in which perishable products are prominent, from healthcare to food and from fashion apparel to technology. This Brief provides a wide range of critical supply chain problems which are modeled as generalized networks. Guidelines are provided to determine the arc multipliers that capture perish ability of the product whether food, radioisotopes, or even highly perishable blood in healthcare over space and time. Through case studies the authors portray the application of the models and algorithms to real-world sectors which illustrate the power of the framework in practice. The models and algorithms are fully described along with the input and output data in the case studies. This level of transparency is useful pedagogically as well as for future research and for applications in practice. Researchers and practitioners in mathematics, in operations research and management science, operations management, as well as in economics and computer science will find this book useful to gain a broader appreciation of the richness of network supply chain structures, processes, and applications. This book can also be used by advanced undergraduate students and graduate students in the disciplines noted above to familiarize themselves with methodologies and supply chain network models and applications.
This book constitutes the proceedings of the Joint INFORMS-GDN and EWG-DSS International Conference on Group Decision and Negotiation (GDN), held in Toulouse, France, during June 10 13, 2014. The GDN meetings aim to bring together researchers and practitioners from a wide spectrum of fields, including economics, management, computer science, engineering and decision science. The contributions report on research on individual and group decision support, negotiation and auction support and the design of systems and agents supporting such processes. From a total of 88 submissions, 31 papers were accepted for publication in this volume. The papers are organized into topical sections on collaborative decision making, auctions, knowledge decision support systems, multi-criteria decision making, multi-agent systems, negotiation analysis, preference analysis, data analysis, DSS / GDSS use, network analysisand semantic tools for group decision making."
Der aktuellste Leitfaden fur den Borsengang, mit Checklisten und Vertragsmustern!
This is a textbook on game theory for students of business and management, managerial economics, strategic analysis, negotiation, and microeconomics.
Durch weitreichende Verbesserungen im Nachrichten-und Transportwesen ist unsere Er de kleiner geworden, nicht nur in soziologischer Hinsicht, sondern auch in Bezug auf Handel, Finanzen und Markte. Dennoch war in manchen Fallen dies die Ursache fur wichtige Unwagbarkeiten, die auf der Wechselwirkung von Zinssatzen und verschiede nen Devisenkursen beruhten. Zwar gibt es die Moglichkeit der Arbitrage, um aus Zins bzw. Kursdifferenzen Gewinn zu erzielen, jedoch mochte der grosste Teil der Marktteil nehmer die oben erwahnten Schwierigkeiten lediglich umgehen. Hier sind die Finanzin stitute gefragt Unterschiede im Zinsniveau sowie Wechselkursschwankungen erschweren Importeuren und Exporteuren die Preisfestsetzung. Diese konnen sich heute dagegen absichern, in dem sie Devisen per Termin kaufen bzw. verkaufen oder durch borslich gehandelte Futu res-Kontrakte Risiken ausschliessen. Diesen Geschaften liegen vorgegebene Verpflich tungen an oder bis zu einem fe lgesetzten Termin zugrunde. Die Termin-und Futures markte ermoglichen also den Schutz vor unvorhergesehenen, starken Kursschwankun gen; zur Absicherung gegen gewisse andere, dem Welthandel zur Zeit eigene Risikofor men sind sie jedoch nicht angemessen. Im September 1982 hat die Philadelphia Stock Exchange ein neues, nutzliches Finanzin strument borslich eingefuhrt, das man als die dritte Dimension des Devisengeschaftes be zeichnen konnte: Die Option auf Wechselkurse hietet die Moglichkeit, Risiken abzusi chern, so beispielsweise wenn Unklarheit daruber besteht, wann (oder ob sogar uber haupt) ein Devisengeschaft notwendig wird."
Das Buch bietet ein neuartiges Modell zur Klassifizierung, Weiterentwicklung und Fuhrung von Sportmannschaften. Dabei geht es um die konstante Realisierung von (grundlegendem oder inkrementellen) Wandel bei der Spielweise (a) Stabilisierung, b) Erneuerung, c) Optimierung, d) Kombinationen aus Erneuerung und Optimierung).
Damit traditionelle Investitionsbewertungsverfahren nicht zu unternehmerischen Fehlentscheidungen fuhren, losen immer mehr Unternehmen dieses Problem mit Hilfe des Realoptionsansatzes. Dieser Ansatz erfasst die Bewertung von Investitionsprojekten erstmals mit einer bisher nicht zu erzielenden Genauigkeit. Das Buch vermittelt kompetent die Grundzuge der Realoption und gibt konkrete Hilfestellung bei der Umsetzung im Unternehmensalltag."
A major problem arising in airline alliances is to design allocation mechanisms determining how the revenue of a product should be shared among the airlines. The nucleolus is a concept of cooperative game theory that provides solutions for allocating the cost or benefit of a cooperation. This work provides fair revenue proportions for the airline alliances based on the nucleolus, which assumes a centralized decision making system. The proposed mechanism is used as a benchmark to evaluate the fairness of the revenue sharing mechanisms, where the alliance partners behave selfishly. Additionally, a new selfish revenue allocation rule is developed that improves the performance of the existing methods.
It is widely held that Bayesian decision theory is the final word on how a rational person should make decisions. However, Leonard Savage--the inventor of Bayesian decision theory--argued that it would be ridiculous to use his theory outside the kind of small world in which it is always possible to "look before you leap." If taken seriously, this view makes Bayesian decision theory inappropriate for the large worlds of scientific discovery and macroeconomic enterprise. When is it correct to use Bayesian decision theory--and when does it need to be modified? Using a minimum of mathematics, "Rational Decisions" clearly explains the foundations of Bayesian decision theory and shows why Savage restricted the theory's application to small worlds. The book is a wide-ranging exploration of standard theories of choice and belief under risk and uncertainty. Ken Binmore discusses the various philosophical attitudes related to the nature of probability and offers resolutions to paradoxes believed to hinder further progress. In arguing that the Bayesian approach to knowledge is inadequate in a large world, Binmore proposes an extension to Bayesian decision theory--allowing the idea of a mixed strategy in game theory to be expanded to a larger set of what Binmore refers to as "muddled" strategies. Written by one of the world's leading game theorists, "Rational Decisions" is the touchstone for anyone needing a concise, accessible, and expert view on Bayesian decision making.
1.1. Aufbau der Arbeit Auf die Begriffsdefinition in Kapitel eins folgt eine Darstellung der Grunde, die die Entstehung dieses neuen Marktsegmentes erforderlich machten. Vor allem die Internationalisierung des Wertpapiergeschaftes und der stark ausgeweitete Ter- minhandel sind als Wegbereiter zu nennen. Danach werden die wirtschaftlichen Anwendungsmoeglichkeiten aus der Sicht des Verleihers und des Entleihers eroertert. Fur den Verleiher stellt die Nutzung der Wertpapierleihe, unter Beachtung der notwendigen Sorgfalt, eine weitgehend risi- kolose Moeglichkeit dar, die Portfoliorendite zu erhoehen. Der Entleiher wird die erhaltenen Wertpapiere in den meisten Fallen verkaufen, sei es zur Belieferung von Kontrahenten oder aus anderen Grunden. In Kapitel vier wird die Modellstruktur der Wertpapierleihe unter rechtlichen Ge- sichtspunkten beleuchtet. Die Ausgestaltung der Vertragsbeziehungen kann dabei entweder eine Eigenhandel- (Principal-Modell) oder eine Kommissionsstruktur (Agent-Modell) vorsehen. Letztere ist vor allem bei der institutionalisierten Wertpapierleihe ublich. AEhnlich wie bei anderen Finanzinnovationen ist die Frage der buchhalterischen und bilanziellen Behandlung noch nicht erschoepfend geklart. UEber die wichtigsten Richtlinien und den Stand der gegenwartigen Betrachtungsweise gibt Kapitel funf Auskunft. In Kapitel sechs kommen steuerliche Aspekte zur Sprache. Da die Einkunfte aus Wertpapierdarlehen keine Einkunfte aus Kapitalvermoegen sind, sind steuerliche Besonderheiten zu beachten. Auch hinsichtlich aufsichtsrechtlicher Vorschriften existieren fur Wertpapierdarle- hen spezifische Regelungen der jeweils zustandigen Behoerde. Wie diese Vorschrif- ten fur Kreditinstitute, Versicherungsgesellschaften und Kapitalanlagege- sellschaften aussehen, ist Gegenstand von Kapitel sieben.
This book constitutes the refereed proceedings of the Second International Conference on Decision and Game Theory for Security, GameSec 2011, held in College Park, Maryland, USA, in November 2011. The 16 revised full papers and 2 plenary keynotes presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on attacks, adversaries, and game theory, wireless adhoc and sensor networks, network games, security insurance, security and trust in social networks and security investments.
Dieses Buch fuhrt in das junge, interdisziplinare Gebiet Computational Social Choice ein, das an der Schnittstelle zwischen der Informatik und den Politik- und Wirtschaftswissenschaften liegt. Ausgehend von der klassischen Spiel- und Social-Choice-Theorie werden die algorithmischen Eigenschaften von Spielen, Wahlen und Aufteilungsverfahren in leicht verstandlicher und dennoch exakter Form prasentiert.
"Classics in Game Theory" assembles in one sourcebook the basic contributions to the field that followed on the publication of "Theory of Games and Economic Behavior" by John von Neumann and Oskar Morgenstern (Princeton, 1944). The theory of games, first given a rigorous formulation by von Neumann in a in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. In the "heroic era" of research that began in the late 1940s, the foundations of the current theory were laid; it is these fundamental contributions that are collected in this volume. In the last fifteen years, game theory has become the dominant model in economic theory and has made significant contributions to political science, biology, and international security studies. The central role of game theory in economic theory was recognized by the award of the Nobel Memorial Prize in Economic Science in 1994 to the pioneering game theorists John C. Harsanyi, John Nash, and Reinhard Selten. The fundamental works for which they were honored are all included in this volume. Harold Kuhn, himself a major contributor to game theory for his reformulation of extensive games, has chosen eighteen essays that constitute the core of game theory as it exists today. Drawn from a variety of sources, they will be an invaluable tool for researchers in game theory and for a broad group of students of economics, political science, and biology.
In der Finanzwelt ist der Einsatz von Finanzderivaten zu einem unentbehrlichen Hilfsmittel zur Absicherung von Risiken geworden. Dieses Buch richtet sich an Studierende der (Finanz-) Mathematik und der Wirtschaftswissenschaften im Hauptstudium, die mehr uber Finanzderivate und ihre mathematische Behandlung erfahren moechten. Es werden moderne numerische Methoden vorgestellt, mit denen die entsprechenden Bewertungsgleichungen in der Programmierumgebung MATLAB geloest werden koennen. Betrachtet werden Binomialmethoden, Monte-Carlo-Simulationen und Verfahren zur Loesung parabolischer Differentialgleichungen und freier Randwertprobleme. Auch auf neuere Entwicklungen wie die Bewertung von Zins- und Wetterderivaten wird eingegangen. MATLAB-Befehle und theoretische Hilfsmittel (aus der Stochastik) sind in die einzelnen Kapitel integriert, so dass keine Vorkenntnisse notwendig sind. Das Buch eignet sich hervorragend zum Selbststudium. Der Text wurde fur die zweite Auflage grundlich uberarbeitet und durch aktuelle Entwicklungen auf den Finanzmarkten erganzt: u. a. Bewertung von Energiederivaten, die im Zuge der Liberalisierung der Energiemarkte entwickelt wurden - spezielle Kreditderivate, deren riskanter Umgang die Finanzkrise mit verursacht zu haben scheint- Adjusting Options, die in globalisierten Markten von grosser Bedeutung sind.
Anhand vieler Praxisbeispiele aus den Wirtschaftswissenschaften bietet dieses Buch einen praktischen Einstieg in die Lineare Optimierung. Dabei werden dem Leser insbesondere die zugrunde liegenden Ideen nahe vermittelt. Zu den zahlreichen Aufgaben werden ausfuhrliche Musterlosungen angeboten. Daruber hinaus helfen Ihnen die Beispielklausuren bei der gezielten Vorbereitung auf Klausuren."
As a text for an undergraduate mathematics course for nonmajors, Mathematics and Politics requires no prerequisites in either area while the underlying philosophy involves minimizing algebraic computations and focusing instead on some conceptual aspects of mathematics in the context of important real-world questions in political science. Five major topics are covered including a model of escalation, game theoretic models of international conflict, yes-no voting systems, political power, and social choice. Each topic is discussed in an introductory chapter and revisited in more depth in a later chapter. This new edition has added co-author, Allison Pacelli, and two new chapters on "Fairness" and "More Fairness." The examples and the exercises have been updated and enhanced throughout. Reviews from first edition: This book is well written and has much math of interest. While it is pitched at a non-math audience there is material here that will be new and interesting to the readers... -Sigact News For mathematicians, Taylor's book shows how the social sciences make use of mathematical thinking, in the form of axiomatic systems, and offers a chance to teach this kind of thinking to our students. - The College Mathematics Journal The writing is crisp and the sense of excitement about learning mathematics is seductive. The political conflict examples are well thought out and clear. -Michael C. Munger
Annette Holler introduces two new depreciation-adjusted value metrics. Furthermore, a case study illustrates the depreciation-related bias. A regression analysis adds to previous evidence on associations of value creation with stock returns and firm values.
This book will present the papers delivered at the first U.S. conference devoted exclusively to global optimization and will thus provide valuable insights into the significant research on the topic that has been emerging during recent years. Held at Princeton University in May 1991, the conference brought together an interdisciplinary group of the most active developers of algorithms for global optimization in order to focus the attention of the mathematical programming community on the unsolved problems and diverse applications of this field. The main subjects addressed at the conference were advances in deterministic and stochastic methods for global optimization, parallel algorithms for global optimization problems, and applications of global optimization. Although global optimization is primarily a mathematical problem, it is relevant to several other disciplines, including computer science, applied mathematics, physical chemistry, molecular biology, statistics, physics, engineering, operations research, communication theory, and economics. Global optimization problems originate from a wide variety of mathematical models of real-world systems. Some of its applications are allocation and location problems and VLSI and data-base design problems. Originally published in 1991. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. |
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