Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Its central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. 1982 edition.

Drawing on such diverse but related disciplines as economics, cognitive psychology, statistics, and game and decision-making theory, the book considers the barriers to successful negotiation in such areas as civil litigation, family law, arms control, labor management disputes, environmental treaty making, and politics. When does it pay for parties to a dispute to cooperate, and when to compete? How can third-party negotiators further resolutions and avoid the pitfalls that deepen the division between antagonists? Offering answers to these and related questions, this book is a comprehensive guide to the latest understanding of ways to resolve human conflict.

This refreshingly authoritative look at recreational mathematics illustrates winning strategies that use the methods of algebra, geometry, combinatorics, number theory, graph theory, and other branches of mathematics. Its lucid analyses of the rules and theories of mathematical games include skill-enhancing exercises, plus references, appendixes, and detailed explanations. 1992 edition.

Dieses Lern- und Ubungsbuch zur Wirtschaftsmathematik ist in besonderer Weise aufgebaut. Es bietet jeweils auf den rechten Seiten kompakt und prazise mathematische Grundlagen und Fakten, auf den gegenuberliegenden Seiten Beispiele und Problemlosungen mit EXCEL.
Der Leser wird zuerst kurz in das Tabellenkalkulationsprogramm EXCEL eingefuhrt. Die Moglichkeiten von EXCEL in der Wirtschaftsmathematik werden erlautert und an zahlreichen Beispielen gezeigt. Ausfuhrlicher erhalt der Leser Wissensbausteine zu grundlegenden Gebieten der Wirtschaftsmathematik wie Matrizenrechnung, Differential- und Integralrechnung und Losung von Gleichungen und Optimierungsaufgaben. Formeln, Definitionen und Zusammenhange werden ubersichtlich dargestellt und an Beispielen erlautert.
Das Buch unterstutzt alle Lehrveranstaltungen und empfiehlt sich als Lern- und Nachschlagewerk fur den Praktiker."

Im Spannungsfeld von Philosophie, Politologie, Literatur, Okonomie und Biologie hat sich die Spieltheorie zu einem der erfolgreichsten Werkzeuge der Mathematik entwickelt. Die "Strategischen Spiele fur Einsteiger" zeichnen in beispielhaften Mustern das breite Anwendungsspektrum der Theorie interaktiver Entscheidungen nach. Ein unterhaltsamer Einstieg in die Spieltheorie, der sowohl den mathematischen Grundlagen wie auch den kulturellen Aspekten strategischer Konfliktsituationen Tribut zollt. Ein eigener Abschnitt ist den in herkommlichen Lehrbuchern eher stiefmutterlich behandelten Differentialspielen gewidmet."

Game Theory: 5 Questions is a collection of short interviews based on 5 questions presented to some of the most influential and prominent scholars in the field. We hear their views on game theory, its aim, scope, use, the future direction of game theory and how their work fits in these respects.

More Art Puzzles by Numbers is the sequel to Art Puzzles By Number and is the most electrifying new kind of puzzle to come along in many years. Not only are the puzzles fun and beguiling, with tons of fans in the U.S., they are also serving as a valuable resource to teens. The Utah State Textbook Commission designated this book as "Recommended Student Resource" for Mathematics/Pre-Algebra grade levels 7-12 for its emphasis on indirect reasoning skills.

These beguiling puzzles already have millions of devoted fans in Japan, where they were invented years ago. And now Art Puzzles by Numbers has been introduced to the United States where its popularity is growing enormously. The concept is cleverly simple. You start with an empty grid. The numbers to the side and above tell you "how many" squares to fill in the columns and rows. The trick is that the numbers don't tell you "which" squares to fill in -- that's for you to decide through logical reasoning and by operating back and forth between the columns and the rows. Unlike the crossword puzzle, when you have finished one of these "picture logic" puzzles correctly, you've made a picture!

Topics in Game Theory is based on a set of course notes used by the author in his Game Theory course at Miami University. Game theory uses mathematical models to analyze situations involving conflict or cooperation between decision makers. It can be applied to problems in military strategy, business, political science, economics and other social sciences. The course was very popular. Student demand frequently exceeded available space.

Das Buch vermittelt einen grundlegenden und praktischen Einstieg in die Lebensversicherungsmathematik. Es ist einerseits mathematisch stringent und andererseits praktisch anschaulich. Dadurch wird eine intuitive und sichere Einfuhrung in die versicherungsmathematische Analyse von klassischen Lebensversicherungsprodukten ermoeglicht. Eine Vielzahl praktischer Beispiele, Abbildungen und Anwendungen macht das Buch anschaulich und interessant. Mit der vorliegenden zweiten Auflage wurden eine grundliche UEberarbeitung sowie eine umfangreiche Erweiterung vorgenommen. Insbesondere wurden die einschlagigen Gesetzesnovellen fur die versicherungsmathematische Praxis berucksichtigt. Ausserdem wurden 90 Aufgaben mit Loesungen in das Buch aufgenommen.

Mathematisch prazise fuhrt dieses Lehrbuch in die Grundlagen der Spieltheorie und deren dynamische Behandlung ein. Dabei werden zugleich die wichtigen Anwendungsmoeglichkeiten dieser Theorie z.B. in den Wirtschaftswissenschaften aufgezeigt und anhand von Beispielen erlautert. Beginnend mit der Arbeit von John von Neumann uber die Theorie der Gesellschaftsspiele fuhrt Sie dieses Buch bis zu den modernen Konzepten der dynamischen Behandlung von Spielen

Ein einfuhrendes Lehrbuch zum Thema Zinsderivate, das neben den mathematischen Grundlagen vor allem auch die fur die Praxis relevanten Aspekte abdeckt. Das Buch wendet sich an Leser mit Grundkenntnissen in Wahrscheinlichkeitstheorie und Analysis; die fur das Verstandnis notwendigen speziellen mathematischen Techniken aus der Stochastik werden in zwei Anhangen erlautert.

This book explores what it means to be rational in a variety of contexts, from personal decisions to those affecting large groups of people. It introduces ideas from economics, philosophy, and other areas, showing how the theory applies to particular situations such as gambling and the allocation of resources.

The "oligopoly problem"--the question of how prices are formed when the market contains only a few competitors--is one of the more persistent problems in the history of economic thought. In this book Xavier Vives applies a modern game-theoretic approach to develop a theory of oligopoly pricing.Vives begins by relating classic contributions to the field--including those of Cournot, Bertrand, Edgeworth, Chamberlin, and Robinson--to modern game theory. In his discussion of basic game-theoretic tools and equilibrium, he pays particular attention to recent developments in the theory of supermodular games. The middle section of the book, an in-depth treatment of classic static models, provides specialized existence results, characterizations of equilibria, extensions to large markets, and an analysis of comparative statics with a view toward applied work. The final chapters examine commitment issues, entry, information transmission, and collusion using a variety of tools: two-stage games, the modeling of competition under asymmetric information and mechanism design theory, and the theory of repeated and dynamic games, including Markov perfect equilibrium and differential games.

"An accessible, intriguing explanation of game theory . . . that can help explain much human behavior." -Seattle Post-Intelligencer Humans, like bacteria, woodchucks, chimpanzees, and other animals, compete or cooperate in order to get food, shelter, territory, and other resources to survive. But how do they decide whether to muscle out or team up with the competition?In "The Survival Game," David P. Barash synthesizes the newest ideas from psychology, economics, and biology to explore and explain the roots of human strategy. Drawing on game theory-the study of how individuals make decisions-he explores the give-and-take of spouses in determining an evening's plans, the behavior of investors in a market bubble, and the maneuvers of generals on a battlefield alongside the mating and fighting strategies of "less rational" animals. Ultimately, Barash's lively and clear examples shed light on what makes our decisions human, and what we can glean from game theory and the natural world as we negotiate and compete every day.

The author examines the interplay between evolutionary game theory and the equilibrium selection problem in noncooperative games. Evolutionary game theory is one of the most active and rapidly growing areas of research in economics. Unlike traditional game theory models, which assume that all players are fully rational and have complete knowledge of details of the game, evolutionary models assume that people choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. In games that are repeated many times, low-payoff strategies tend to be weeded out, and an equilibrium may emerge. Larry Samuelson has been one of the main contributors to the evolutionary game theory literature. In Evolutionary Games and Equilibrium Selection, he examines the interplay between evolutionary game theory and the equilibrium selection problem in noncooperative games. After providing an overview of the basic issues of game theory and a presentation of the basic models, the book addresses evolutionary stability, the dynamics of sample paths, the ultimatum game, drift, noise, backward and forward induction, and strict Nash equilibria.

In economics, most noncooperative game theory has focused on equilibrium in games, especially Nash equilibrium and its refinements. The traditional explanation for when and why equilibrium arises is that it results from analysis and introspection by the players in a situation where the rules of the game, the rationality of the players, and the players' payoff functions are all common knowledge. Both conceptually and empirically, this theory has many problems. In The Theory of Learning in Games Drew Fudenberg and David Levine develop an alternative explanation that equilibrium arises as the long-run outcome of a process in which less than fully rational players grope for optimality over time. The models they explore provide a foundation for equilibrium theory and suggest useful ways for economists to evaluate and modify traditional equilibrium concepts.

Das Lehrbuch gibt eine anwendungsorientierte Einfuhrung in alle wichtigen Teilbereiche des Operation Research. Im Einzelnen werden lineare, ganzzahlige und nichtlineare Optimierungsansatze, Methoden der Projektplanung und Netzplantechnik, stochastische Modelle sowie nichtexakte Losungsverfahren behandelt. Die jeweiligen Methoden werden anhand zahlreicher betrieblicher Anwendungsbeispiele aus den Bereichen Produktion, Logistik, Marketing und Finanzwirtschaft illustriert. Entsprechende Ubungsaufgaben mit ausfuhrlichen Losungen tragen zur Vertiefung des Stoffes bei und helfen bei der Vorbereitung auf Klausuren.

"A classic introduction [to game theory] for the general reader."-Rob Norton, Fortune

Whether your primary interest is to improve your card game or put together a political coalition, here you will be enjoyably instructed in an approach to strategy that has caught the imagination of a generation of readers.

John McDonald looks at the elusive thread of opposition and conflict that runs through human interrelationships, from the striking of a bargain to the clash of war. He discusses poker; game theory, as it applies to games but mainly to business; the strategies of buyers and sellers; and finally military and other applications.

"Remarkably fine."-John Kenneth Galbraith

Why can't we think straight about the big issues that face our society? Why are we taken in by the phony arguments of populists and scammers? Where are the philosophers hiding when we need them to tell us what makes sense? They are hiding because they have nothing to say. The airy-fairy answers offered by writers of footnotes to Plato were wrong two thousand years ago, and they are still wrong now. All this time, we should have been listening to a different but equally venerable branch of matter-of-fact philosophy pioneered by the much-maligned philosopher Epicurus. His ideas were suppressed in ancient times as heretical, but the development of the theory of games and decisions makes it timely for those of us who care about science to revive his style of thinking-not just about the world around us but about ourselves as well. The price of transferring our allegiance to Epicurus and his modern followers is that we can no longer enjoy the luxury of being told what we want to hear. It would be nice if we were really equipped with a hotline to a metaphysical world of transcendental ideals, but the truth is that we are just the flotsam left behind on the beach when the evolutionary tide went out, and we have to get real about what will and will not work for our imperfect species before it is too late. This book is an attempt to point the way. It has no equations and very little jargon; nor does it pull any punches, either in explaining how game theory works or in exposing the follies of famous metaphysicians.

Was hat Hamlet falsch gemacht? In diesem Buch lernen Sie Instrumente kennen, mit denen Sie dieser Frage systematisch nachgehen koennen - die Ihnen helfen, Entscheidungssituationen zu durchdenken, die sich durch Konflikte und Koordinationsprobleme auszeichnen. Mit Hilfe spieltheoretischer Konzepte und Ansatze werden Sie Ihre Antwort darauf finden, was Hamlet falsch gemacht hat, warum der Kalte Krieg "kalt" blieb und warum Michelin seinen Eintritt in den US-Markt besser vermieden hatte. Die Spieltheorie ist aus der heutigen OEkonomik nicht mehr wegzudenken. Auch in der Politikwissenschaft, Soziologie und Philosophie findet sich inzwischen ein breites Band sehr unterschiedlicher Anwendungen. Diese Einfuhrung in die Spieltheorie liefert die theoretischen Grundlagen und schult beim Leser die spieltheoretische Argumentationsweise. Fur die vorliegende 8. Auflage wurden grosse Teile der Kapitel 1 bis 4 grundlich uberarbeitet und erganzt. Das neue Kapitel 9 bietet unterhaltsame Einblicke in die spannende (Vor-)Geschichte der Spieltheorie. Eine gut lesbare Einfuhrung!

In diesem Buch finden Studierende aller wirtschaftswissenschaftlichen Studiengange eine verstandliche Einfuhrung in die fur sie relevanten mathematischen Methoden. Der Text ist in drei Teile gegliedert: Grundlagen Lineare Algebra mit den Schwerpunkten lineare Gleichungssysteme und lineare Optimierung Analysis mit den Schwerpunkten Finanzmathematik und Differentialrechnung Neben einer praxisnahen Motivation der Inhalte bietet das Buch auch zahlreiche Beispiele und UEbungen mit Loesungen. Ausserdem wird die klassische Anwendung der mathematischen Verfahren durch die Anwendung des Open-Source-Programms Scilab erganzt und veranschaulicht. Die einzelnen Schritte dazu sind im Text beschrieben, was einen leichten Zugang zu dem Programm ermoeglicht. Die 4. uberarbeitete und erganzte Auflage ist nun um einen Abschnitt uber ganzzahlige lineare Optimierung erganzt.

A Times/Sunday Times Book of the Year DISCOVER HOW LIFE REALLY WORKS - ON EARTH AND IN SPACE 'A wonderfully insightful sidelong look at Earthly biology' Richard Dawkins 'Crawls with curious facts' Sunday Times _________________________ We are unprepared for the greatest discovery of modern science. Scientists are confident that there is alien life across the universe yet we have not moved beyond our perception of 'aliens' as Hollywood stereotypes. The time has come to abandon our fixation on alien monsters and place our expectations on solid scientific footing. Using his own expert understanding of life on Earth and Darwin's theory of evolution - which applies throughout the universe - Cambridge zoologist Dr Arik Kershenbaum explains what alien life must be like. This is the story of how life really works, on Earth and in space. _________________________ 'An entertaining, eye-opening and, above all, a hopeful view of what - or who - might be out there in the cosmos' Philip Ball, author of Nature's Patterns 'A fascinating insight into the deepest of questions: what might an alien actually look like' Lewis Dartnell, author of Origins 'If you don't want to be surprised by extraterrestrial life, look no further than this lively overview of the laws of evolution that have produced life on earth' Frans de Waal, author of Mama's Last Hug