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Books > Science & Mathematics > Mathematics > Optimization > Game theory
This volume brings together papers of well-known specialists in game theory and adjacent problems. It presents the basic results in dynamic games, stochastic games, applications of game theorectical methods in ecology and economics and the methodological aspects of game theory.
This book presents current research in the field of mathematics, with a particular emphasis on mathematical theories, models and groups. Topics discussed include particular swarm optimisation in theory and practice; detecting the commuting probability of the derived subgroup; peer group situations and games with interval uncertainty; groups of wraps and diffeomorphisms of manifolds over non-archimedean normed fields and the concept of a suitable insurance policy using leader-follower games.
Bruce Bueno de Mesquita is a master of game theory, which is a
fancy label for a simple idea: People compete, and they always do
what they think is in their own best interest. Bueno de Mesquita
uses game theory and its insights into human behavior to predict
and even engineer political, financial, and personal events. His
forecasts, which have been employed by everyone from the CIA to
major business firms, have an amazing 90 percent accuracy rate, and
in this dazzling and revelatory book he shares his startling
methods and lets you play along in a range of high-stakes
negotiations and conflicts. "From the Hardcover edition."
Game theory is the research field to analyse the whole system as a group of many components interacting with each other. Considering the terms in game theory, the idea could be mapped into human's rationality in social science or the forces of nature affecting all of natural phenomenon in fundamental level, and the relationship could be described with many sub-theories of game theory like non-co-operative game or co-operative game. Most of events and situations could be projected by the eye of game theory on the aspect that there always exist conflicts and co-operation on the interactions in them. Game theory was originated form economics, one of social science, but it applies to not just social system but also the realm of nature. For example we could see the molecular world of materials with game theoretic viewpoint. Molecules in material are connected or interacted with each other by several different kinds of physical forces like metallic bond, ionic bond, van der Waals forces, etc. This book provides leading-edge research from around the world on this field.
Anhand einer Reihe mathematisch-oekonomischer Modelle sollen Studenten, Absolventen und Praktiker Anregungen zum Modellieren und Loesen praktischer Problemstellungen erhalten. Das Buch kann als Grundlage fur Seminare zur Wirtschaftsmathematik, als Erganzung entsprechender Vorlesungen an mathematischen und wirtschaftswissenschaftlichen Fakultaten und als Nachschlagewerk dienen.
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.
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.
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.
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.
Casino games and traditional card games have rich and idiosyncratic histories, complex subcultures and player practices, and facilitate the flow of billions of dollars each year through casinos and card rooms, and between professional players and amateurs. They have nevertheless been overlooked by game scholars due to the negative ethical weight of “gambling” – with such games pathologized and labelled as deviance or mental illness, few look beyond to unpick the games, their players, and their communities. The Casino, Card and Betting Game Reader offers 25 chapters studying the communities playing these games, the distinctive cultures and practices that have emerged around them, their activities and beliefs and interpersonal relationships, and how these games influence – both positively and negatively – the lives and careers of millions of game players around the world. It is the first of a new series of edited collections, Play Beyond the Computer, dedicated to exploring the play of games beyond computers and games consoles.
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.
This book brings together papers of well-known specialists in game theory and adjacent problems. It presents the basic results in dynamic games, stochastic games, applications of game theoretical methods in ecology and economics and methodological aspects of game theory. Contents: Preface; Numerical Studies on Paradoxes in Non-cooperative Distributed Computer Systems; On the Borel and von Neumann Poker Models; Axiomatic Characterisation of Boolean Vote Aggregators; A Fishery Game Model with Age-Distributed Population: Reserved Territory Approach; The Effects of Incomplete Information in Stochastic Common-Stock Harvesting Games; Two-level Imitative Problems in Stock Markets and Bayesian Estimation of Credibility Parameters; On Nash Equilibria in Stochastic Games of Capital Accumulation; Cooperative Solution for Games with Random Duration; Best-choice Games where Arbitration Comes in; A 'Quantitative' Minimax Theorem; On Bruss' Stopping Problem with General Gain Function; Semi-Definite Programming Approach for Bandwidth Allocation and Routing in Networks; Cournot Equilibrium and Competition via Supply Functions; Some Results on Convergence of Learning Algorithms for Games on Networks
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.
This is a textbook on game theory for students of business and management, managerial economics, strategic analysis, negotiation, and microeconomics.
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.
The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. This series of four books collects the seminal papers from those proceedings, together with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes. Volume I focuses on the subjects of 'Games and Scales' and 'Suslin Cardinals, Partition Properties, and Homogeneity', Volume II on 'Wadge Degrees and Pointclasses' and 'Projective Ordinals', Volume III on 'HOD and its Local Versions' and 'Recursion Theory', and Volume IV on 'Extensions of AD, models with choice', along with material important to the Cabal that does not fit neatly into one of its main themes. These four volumes will be a necessary part of every set theorist's library.
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.
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.
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.
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. |
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