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Books > Science & Mathematics > Mathematics > Optimization > Game theory
The Price is Right is television’s longest-running game show. Since its inception in 1956, contestants have won cars, tropical vacations, diamond jewelry, even a live horse, and the hosts’ excited catchphrase “come on down!” has become part of our everyday vernacular. Part of the program’s enduring appeal is the apparent ease of the game, guessing the cash value of certain prizes. But, if that’s the case, then why do so many contestants come away from the show empty-handed? Solving The Price is Right is an in-depth exploration of the underlying probability theory of the popular television program that explores how biases and behavioral pitfalls limit our ability to successfully apply logic and math both on and off the show. With rigorous data and analysis compiled from Seasons 47 and 48 (356 total episodes), economist and popular mathematician Justin L. Bergner draws strategic and mathematical insights from all facets of the show, from Contestant’s Row bidding to the Showcase Showdown, and all 77 Pricing Games, using a combination of game theory, probability theory, statistics, and pattern recognition. In each section, Bergner summarizes contestant performance, highlights the biases leading to sub-par outcomes, and shows how outcomes can be improved by executing the right strategies while avoiding cognitive biases. Throughout, Bergner applies the lessons learned to the fields of business, finance, and our real lives, shedding light on themes of reverse psychology, strategic patience, and the importance of establishing what is sufficient for success in our pursuits. The result is a truly unique and meticulously researched book that uses Solving The Price is Right as a lens to examine our own choices – and how to make better ones.
The description for this book, Advances in Game Theory. (AM-52), will be forthcoming.
Game theory has revolutionised our understanding of industrial organisation and the traditional theory of the firm. Despite these advances, industrial economists have tended to rely on a restricted set of tools from game theory, focusing on static and repeated games to analyse firm structure and behaviour. Luca Lambertini, a leading expert on the application of differential game theory to economics, argues that many dynamic phenomena in industrial organisation (such as monopoly, oligopoly, advertising, R&D races) can be better understood and analysed through the use of differential games. After illustrating the basic elements of the theory, Lambertini guides the reader through the main models, spanning from optimal control problems describing the behaviour of a monopolist through to oligopoly games in which firms' strategies include prices, quantities and investments. This approach will be of great value to students and researchers in economics and those interested in advanced applications of game theory.
The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming.
Focusing on recent advances in option pricing under the SABR model, this book shows how to price options under this model in an arbitrage-free, theoretically consistent manner. It extends SABR to a negative rates environment, and shows how to generalize it to a similar model with additional degrees of freedom, allowing simultaneous model calibration to swaptions and CMSs. Since the SABR model is used on practically every trading floor to construct interest rate options volatility cubes in an arbitrage-free manner, a careful treatment of it is extremely important. The book will be of interest to experienced industry practitioners, as well as to students and professors in academia. Aimed mainly at financial industry practitioners (for example quants and former physicists) this book will also be interesting to mathematicians who seek intuition in the mathematical finance.
This book constitutes the refereed proceedings of the 18th International Conference on Group Decision and Negotiation, GDN 2018, held in Nanjing, China, in June 2018. The field of Group Decision and Negotiation focuses on decision processes with at least two participants and a common goal but conflicting individual goals. Research areas of Group Decision and Negotiation include electronic negotiations, experiments, the role of emotions in group decision and negotiations, preference elicitation and decision support for group decisions and negotiations, and conflict resolution principles. The 15 full papers presented in this volume were carefully reviewed and selected from 143 submissions. They were organized in topical sections named: theoretical concepts of group decision and negotiation; decision support and behavior in group decision and negotiation; and applications of group decision and negotiations.
This is the first book that sheds light on global game industries and cultural policy. The scope covers the emerging and converging theory and models on cultural industries and its development, and their connection to national cultural policy and globalization. The primary focus of the book is on Asian cultural policy and industries while there are implicit comparisons throughout the book to compare Asia to other global markets. This book is aimed at advanced undergraduates, graduate students and faculty members in programs addressing cultural policy and digital games. It will also be of interest to those within the cultural policy community and to digital games professionals.
An invaluable study aid for students of game theory Solutions Manual to accompany Game Theory: An Introduction, 2nd Edition provides complete explanations and fully worked solutions for the problems posed in the text. Although designed as a supplement to Game Theory, this solutions guide is versatile enough to act as an independent review of key topics, regardless of which textbook you are using. Each solution includes the original question as well as all given data, and clear, concise language describes the approach and reasoning that yields the correct solution.
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.
This innovative textbook makes the tools and applications of game theory and strategic reasoning both fascinating and easy to understand. Each chapter focuses a specific strategic situation as a way of introducing core concepts informally at first, then more fully, with a minimum of mathematics. At the heart of the book is a diverse collection of strategic scenarios, not only from business and politics, but from history, fiction, sports, and everyday life as well. With this approach, students don't just learn clever answers to puzzles, but instead acquire genuine insights into human behaviour. Written for major courses in economics, business, political science, and international relations, this textbook is accessible to students across the undergraduate spectrum.
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.
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.
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."
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.
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."
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 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.
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.
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.
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