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.

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.

Game theory has emerged as a powerful new tool in environmental economics, especially in the study of transboundary pollution problems such as global warming and acid rain. This is the first book specifically concerned with this expanding field and addresses key issues in the application of game theory to environmental economics. The book features an impressive list of leading authorities who begin by providing a concise introduction and overview of game theory concepts. They then present an examination of methodological issues, and finally apply game theory to a variety of environmental management problems. Included in the analysis are the following issues: cooperation versus selfish behaviour and the formation and stability of coalitions asymmetric information, commitment and fairness, and irreversibility and uncertainty international environmental externalities and international pollution control agreements cooperation versus free riding in international affairs the reduction of greenhouse gas emissions, regulation of nuclear power and control of acid rain best choice policy instruments. This book will be highly relevant for the growing number of undergraduate and postgraduate courses in environmental economics, environmental management and public policy. It will also be of interest both to academics researching in these areas and to practitioners in government and international agencies.

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.

The rapid developments in new communication technologies have facilitated the popularization of digital games, which has translated into an exponential growth of the game industry in recent decades. The ubiquitous presence of digital games has resulted in an expansion of the applications of these games from mere entertainment purposes to a great variety of serious purposes. In this edited volume, we narrow the scope of attention by focusing on what game theorist Ian Bogost has called 'persuasive games', that is, gaming practices that combine the dissemination of information with attempts to engage players in particular attitudes and behaviors. This volume offers a multifaceted reflection on persuasive gaming, that is, on the process of these particular games being played by players. The purpose is to better understand when and how digital games can be used for persuasion by further exploring persuasive games and some other kinds of persuasive playful interaction as well. The book critically integrates what has been accomplished in separate research traditions to offer a multidisciplinary approach to understanding persuasive gaming that is closely linked to developments in the industry by including the exploration of relevant case studies.

"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

How to Divide When There Isn't Enough develops a rigorous yet accessible presentation of the state-of-the-art for the adjudication of conflicting claims and the theory of taxation. It covers all aspects one may wish to know about claims problems: the most important rules, the most important axioms, and how these two sets are related. More generally, it also serves as an introduction to the modern theory of economic design, which in the last twenty years has revolutionized many areas of economics, generating a wide range of applicable allocations rules that have improved people's lives in many ways. In developing the theory, the book employs a variety of techniques that will appeal to both experts and non-experts. Compiling decades of research into a single framework, William Thomson provides numerous applications that will open a large number of avenues for future research.

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.

Statische Spiele mit vollstandiger Information.- Dynamische Spiele mit vollstandiger Information.- Statische Spiele mit unvollstandiger Information.- Dynamische Spiele mit unvollstandiger Information.- Spiele ohne Information.- Kooperative Spieltheorie.- Spiele mit fehlerhaften Strategien.

Robert J Aumann has received numerous prizes, including the Nobel Memorial Prize in Economic Sciences for 2005.With his 1976 paper, 'Agreeing to Disagree', Robert Aumann pioneered the subject of interactive epistemology: the study of what people know, and what they know about what others know. Since then, the discipline has burgeoned enormously. This book documents Aumann's work leading to the 1976 paper and his subsequent contributions to the discipline. The scientific controversies emanating from his work are also included.

Diese Starthilfe zur Finanzmathematik vermittelt die grundlegenden Formeln, Methoden und Ideen der klassischen Finanzmathematik, ohne allzu sehr ins Detail zu gehen und so, dass man mit durchschnittlichen mathematischen Schulkenntnissen dem Text folgen kann. Das Kernstuck bilden Zins- und Zinseszinsrechnung, Rentenrechnung, Tilgungsrechnung und Kursrechnung. Auch verwandte Gebiete wie Abschreibungen und Investitionsrechnung werden aus mathematischer Sicht behandelt. Eine Vielzahl praktischer Beispiele macht das Buch interessant und anschaulich. Komplettiert wird der Band durch einen Ausblick auf aktuelle Fragestellungen aus Investment Banking und Portfoliomanagement. In dieser Neuauflage wurden zu Beginn eines jeden Kapitels Lernziele formuliert und typische Problemstellungen aufgezeigt, zu denen am Kapitelende Loesungen angegeben sind. Ferner wurden mehr Abbildungen zur besseren Veranschaulichung der mathematischen Zusammenhange aufgenommen.

Diese Formelsammlung ist gezielt auf die Bedurfnisse des Studiums der Wirtschaftswissenschaften an Universitaten und Fachhochschulen zugeschnitten. Sie enthalt in komprimierter, ubersichtlicher Form das wesentliche Grundwissen der Mathematik, Finanzmathematik und Statistik, das in den Lehrveranstaltungen des Grundstudiums wirtschaftswissenschaftlicher Studiengange benoetigt wird. In der vorliegenden 8., grundlich durchgesehenen Auflage wurden zahlreiche Erganzungen vorgenommen. Diese betreffen u. a. die Kapitel zur Finanzmathematik, zur linearen Optimierung, zu Funktionen einer unabhangigen Variablen und zur linearen Algebra sowie oekonomische Anwendungen der Differentialrechnung, wie etwa Wachstumsbegriffe von Funktionen. Ferner wurde das Sachwortverzeichnis nochmals erweitert, um das Auffinden von Formeln und Begriffen zu erleichtern.

Dieses wirtschaftsmathematische UEbungsbuch soll zur Festigung und Vertiefung des wirtschaftsmathematischen Basiswissens und -koennens beitragen. Das Buch ist eigenstandig nutzbar, aber auch eine ideale Erganzung zu dem Lehrbuch "Einfuhrung in die angewandte Wirtschaftsmathematik" des Autors. Es ist eine wichtige Lernhilfe, die die Examensvorbereitungen unterstutzt, fur Hoererinnen und Hoerer der Grundvorlesungen in Wirtschaftsmathematik und zum Selbststudium gut geeignet. Die Neuauflage wurde durch umfangreiches UEbungs- und Testmaterial aus dem "Algebra-Bruckenkurs" wesentlich erweitert.

Unternehmenswert entsteht durch Identifikation, Steuerung und Ausubung realer Optionen. In einem Dreischritt beleuchtet das Buch ein breites Spektrum von theoretischen Grundlagen, praktischen Beispielen und kunftigen Entwicklungsmoglichkeiten des Realoptionsansatzes. Neben die Darstellung ausgefeilter Methoden zur Nutzung von Handlungsflexibilitat tritt eine Fulle von Beispielen aus dem unternehmerischen Alltag der Fuhrungskrafte internationaler Unternehmen. Schliesslich werden Perspektiven eroffnet fur die weitere Durchsetzung des Realoptionsansatzes als anerkannter Entscheidungshilfe bei Investitionen in einem von Unsicherheit gepragten Umfeld. Mit realen Optionen konnen die Entscheidungstrager flexibel und kompetent auf Unsicherheit reagieren und von Risiken profitieren."

Kompakt und verstandlich gelingt es dem Autor den Leser in die Methoden zur Untersuchung und Bewertung von Finanzderivaten einzufuhren. So erlangen Sie ein vertieftes Verstandnis fur die faszinierende Welt der Finanzmarkte."

Eine integrierte Einfuhrung in die Mathematik, die vom Konkreten zum Allgemeinen aufsteigt, auf Schubladen wie "Lineare Algebra'' und "Analysis'' verzichtet und die (fast) alle Beweise enthalt. Die "Stochastik" wird auch von Anfang an einbezogen. Als Leser kommen besonders Studierende des Wirtschaftsingenieurwesens und der Wirtschaftswissenschaften, aber auch Studierende der Wirtschaftsmathematik (Studiengang innerhalb der Mathematik) infrage. Auch Studierende neuer Studiengange wie Bachelor in Mathematik und sogar des klassischen Diplom-Studiengangs Mathematik werden das Buch mit Gewinn lesen, denn eine solche integrierte Stoffauswahl und -zusammenstellung fehlt bisher.
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La finanza moderna presenta problemi sempre diversi in seguito al continuo sviluppo di nuovi strumenti finanziari. Attraverso l utilizzo del software libero Scilab, nel volume si applicano le moderne teorie economico-finanziarie allo studio di casi concreti sui mercati finanziari (attraverso dati liberamente disponibili su internet). Nel volume si trovano numerosi listati di programma che consentono di avere a disposizione una libreria piuttosto articolata di strumenti per la misurazione e la gestione del rischio. Ogni lettore, poi, potra creare delle funzioni personalizzate, in base alle sue esigenze, modificando opportunamente quanto gia impostato nel volume. L'opera si rivolge a due grandi classi di utenti: gli studenti e coloro che lavorano presso investitori istituzionali. Tutti i corsi che trattano di finanza dei mercati troverebbero in questo volume un buon compendio per mostrare immediate applicazioni informatiche della teoria finanziaria. Il libro e disseminato di esempi tratti dalla realta finanziaria e presenta numerosi programmi per misurare e gestire il rischio sui mercati finanziari. Gli argomenti piu rilevanti sono i seguenti: 1) simulazione di processi stocastici, 2) modelli dei tassi di interesse, 3) teorie di portafoglio (media-varianza e con expected shortfall-CVAR, 4) misurazione del rischio (misure coerenti, misure spettrali), 5) prezzatura di titoli derivati. Si presentano le funzioni per risolvere problemi di programmazione lineare e quadratica. Si applicano, inoltre, metodi dei minimi quadrati e della massima verosimiglianza. Operando con tali strumenti e su dati finanziari liberamente disponibili su internet, il lettore sara in grado di osservare direttamente le applicazioni alla realta finanziaria dei principali modelli di finanza teorica.

Naciye Akca ermittelt die Matrix-Auktion als diejenige Auktionsform, die fur den speziellen Anwendungs-kontext der Versteigerung von Treibhausgas-Emissionsrechten und Treibhausgas-Emissionsgutschriften im Rahmen einer nationalen Reallokation am besten geeignet ist."

L'objectif et l'originalite de ce livre est de presenter les differents aspects et methodes utilises dans la resolution des problemes d'optimisation stochastique avec en vue des applications plus specifiques a la finance: gestion de portefeuille, couverture d'options, investissement optimal.
Nous avons inclus certains developpements recents sur le sujet sans chercher a priori la plus grande generalite. Nous avons voulu une exposition graduelle des methodes mathematiques en presentant d'abord les idees intuitives puis en enoncant precisement les resultats avec des demonstrations completes et detaillees.
Nous avons aussi pris soin d'illustrer chacune des methodes de resolution sur de
nombreux exemples issus de la finance. Nous esperons ainsi que ce livre puisse etre utile aussi bien pour des etudiants que pour des chercheurs du monde academique ou professionnel interesses par l'optimisation et le controle stochastique appliques a la finance.

Les buts principaux de cet ouvrage qui comble un vide sont de:

- donner les concepts et r sultats fondamentaux sur les ensembles ordonn?'s finis,

- pr senter leurs usages dans des domaines vari?'s (de la RO ou l IA la micro- conomie),

- signaler un certain nombre de r sultats et de recherches en cours.

Human communication can be characterized in terms of game theory as competing motivations in a social game in which one person desires "winning" in terms of obtaining compliance. Furthermore, game theory is an interesting framework for dialogue modeling, both the human dialogue and the human-machine dialogue. The first chapter describes the author's contribution on the pragmatics of the dialogue, and proposes a general model of dialogue based on game theory. The second and third chapters review game theory as a way to analyze many different kinds of decisions and decision problems. The remaining chapters present a methodology based on Decision Analysis; decisions in everyday statistics; and an analysis of Thomas Bayes' famous "Essay towards Solving a Problem in the Doctrine of Chances".