Complex-Valued Modeling in Economics and Finance outlines the theory, methodology, and techniques behind modeling economic processes using complex variables theory. The theory of complex variables functions is widely used in many scientific fields, since work with complex variables can appropriately describe different complex real-life processes. Many economic indicators and factors reflecting the properties of the same object can be represented in the form of complex variables. By describing the relationship between various indicators using the functions of these variables, new economic and financial models can be created which are often more accurate than the models of real variables. This book pays critical attention to complex variables production in stock market modeling, modeling illegal economy, time series forecasting, complex auto-aggressive models, and economic dynamics modeling. Very little has been published on this topic and its applications within the fields of economics and finance, and this volume appeals to graduate-level students studying economics, academic researchers in economics and finance, and economists.

A clear, comprehensive introduction to the study of game theory. In the fourth edition, new real-world examples and compelling end-of-chapter exercises engage students with game theory.

This is a guide, in theory and in practice, to how current technological changes have impacted our interaction with texts and with each other. Henry Sussman rereads pivotal moments in literary, philosophical and cultural modernity as anticipating the cybernetic discourse that has increasingly defined theory since the computer revolution. Cognitive science, psychoanalysis and systems theory are paralleled to current trends in literary and philosophical theory. Chapters alternate between theory and readings of literary texts, resulting in a broad but rigorously grounded framework for the relation between literature and computer science. This book is a refreshing perspective on the analog-orientated tradition of theory in the humanities - and offers the first literary-textual genealogy of the digital.

Game Theory for Business: A Simple Introduction offers an accessible guide to the central ideas and methods of business game theory, with over 35 diagrams to support the analysis. Understand a business's role, goals and incentives. Examine adverse selection, moral hazard, and a bait and switch strategy, see how a firm may secure long-run gains, and learn what the show business industry can teach other businesses. Evaluate duopoly price competition, prospects for collusion, and industry entry deterrence using credible commitments and asymmetric information. Look at strategic behaviour with top dog, fat cat, puppy dog ploy, or lean and hungry strategies, Cournot output competition and Bertrand price competition. See what a business can learn from evolutionary biology, and how a firm may differentiate itself from its rivals.

Backed by meticulous research coupled with pragmatic real-life application, "A Winning Bet in Nevada Baccarat" is the definitive guide to using mathematics to gain the upper hand in betting. In this book, you will find techniques comparable to those Edward Thorp proved in his revolutionary book Beat the Dealer. Thorp and William Walden, two leading mathematical experts, have developed a betting system for Nevada Baccarat that is your key to gaining an edge.

Thorp has shown time and again his skill in exploiting mathematical anomalies. Both in the stock market- where his legendary hedge funds have consistently trounced market returns decade after decade-and the casino, Thorpe has turned his mathematical prowess into a practical, reproducible system of winning plays. The strategy behind this ingenuous system for Nevada Baccarat is clearly and succinctly laid out as the system for placing a winning bet. Accompanied with extensive diagrams, charts, and mathematical formulas, this method for success in gambling again proves revolutionary. Using tested scientific methods, "A Winning Bet in Nevada Baccarat" will show you how to: Understand the fundamentals of Nevada Baccarat Recognize when the side bet has a positive expectation Use ruin probabilities to stay on top in the game Determine when to bet on the Banker and when to bet on the Player Calculate when to stop playing to minimize loss

By recognizing the similarities between Nevada Baccarat and Blackjack, a highly-analyzed game, the authors have applied their expertise in applied mathematics in order to win bets on the fast-paced Nevada Baccarat. Drawing off the effective Kelly system for betting, "A Winning Bet in Nevada Baccarat" further develops a system through sound mathematics for a simpler method to place better bets and avoid financial ruin.

For players new to the game of Nevada Baccarat, or experienced players who wish to gain an advantage through a proven mathematical approach, "A Winning Bet in Nevada Baccarat" is an essential read.

Game Theory: A Simple Introduction offers an accessible and enjoyable guide to the basic principles and extensive applications of game theory. Understand a game matrix, prisoners' dilemma, dominant and mixed strategies, zero-sum games, Pareto efficiency, the Nash equilibrium, and see the power of asymmetric information. Calculate payoffs and find outcomes in games involving characters such as Jack and Jill, or Frodo and Gollum. Look at the effects of altruism and hatred on games, and see how games can change over time. Explore examples looking at gang members, free riders, global governance, a long-term relationship, competing corporations, advertisers and their customers, along with familiar hawk-dove and chicken games. See game players use every trick in the book to get what they want, with over 50 images to guide through the steps they use to play the game.

2013 Reprint of 1961 Second Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Acclaimed one of the "seminal books... comparable in ultimate importance to... Galileo or Malthus or Rousseau or Mill," "Cybernetics" was judged by twenty-seven historians, economists, educators, and philosophers to be one of those books published during the "past four decades," which may have a substantial impact on public thought and action in the years ahead." -- Saturday Review. Cybernetics was defined in the mid 20th century by Norbert Wiener as "the scientific study of control and communication in the animal and the machine." Fields of study which have influenced or been influenced by cybernetics include game theory, system theory (a mathematical counterpart to cybernetics), perceptual control theory, sociology, psychology (especially neuropsychology, behavioral psychology, cognitive psychology), philosophy, architecture, and organizational theory. Contents: Part one: original edition - Newtonian and Bergsonian time - Groups and statistical mechanics - Time series, information, and communication - Feedback and oscillation - Computing machines and nervous system - Gestalt and universals - Cybernetics and psychopathology - Information, language, and society - Part two: supplement chapters - On learning and self - reproducing machines - Brain waves and self - organizing systems.

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. Special attention was given to problems in dynamic games under partial information and to the development of numerical methods for high-dimensional games (there is an increasing focus on this arena as recent theory is leading to solution methods for problems which were heretofore quite intractable). The interdisciplinary aspects touched upon were related to dynamical systems via replicator dynamics, with probability (measure-valued processes), with statistical mechanics (kinetic equation, non-equilibrium behaviour), with max-plus (or tropical, or idempotent) mathematics. In this volume, we publish the review of Martin Shubik (The Present and Future of Game Theory) and the contributions presenting extending versions of the talks given at the workshop "Game Theory for Finance, Social and Biological Sciences", held in Warwick 14-17 April 2010. The conference was exclusively marked by a rare natural event: the eruption of an Icelandic volcano Eyjafjallajoekull, which blocked the functioning of most of the airlines, turning the way back for many participants to an adventurous enterprise.

2013 Reprint of 1931 edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Frank Plumpton Ramsey (1903-1930) was a British mathematician who also made significant and precocious contributions in philosophy and economics before his death at the age of 26. He was a close friend of Ludwig Wittgenstein, and was instrumental in translating Wittgenstein's "Tractatus Logico-Philosophicus" into English, and in persuading Wittgenstein to return to philosophy and to Cambridge. This volume collects Ramsey's most important papers. Contents: The foundations of mathematics.--Mathematical logic.--On a problem of formal logic.--Universals.--Note on the preceding paper.--Facts and propositions.--Truth and probability.--Further considerations.--Last papers.

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.
Revealing the origins of game theory and the advances made by John Nash, the Nobel Prize--winning scientist perhaps best known from "A Beautiful Mind," Bueno de Mesquita details the controversial and cold-eyed system of calculation that he has since created, one that allows individuals to think strategically about what their opponents want, how much they want it, and how they might react to every move. From there, Bueno de Mesquita games such events as the North Korean disarmament talks and the Middle East peace process and recalls, among other cases, how he correctly predicted which corporate clients of the Arthur Andersen accounting firm were most likely engaged in fraudulent activity (hint: one of them started with an E). And looking as ever to the future, Bueno de Mesquita also demonstrates how game theory can provide successful strategies to combat both global warming (instead of relying on empty regulations, make nations compete in technology) and terror (figure out exactly how much U.S. aid will make Pakistan fight the Taliban).
But as Bueno de Mesquita shows, game theory isn't just for saving the world. It can help you in your own life, whether you want to succeed in a lawsuit (lawyers argue too much the merits of the case and question too little the motives of their opponents), elect the CEO of your company (change the system of voting on your board to be more advantageous to your candidate), or even buy a car (start by knowing exactly what you want, call every dealer in a fifty-mile radius, and negotiate only over the phone).
Savvy, provocative, and shockingly effective, The Predictioneer's Game will change how you understand the world and manage your future. Life's a game, and how you play is whether you win or lose.

"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.

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.

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.

The aim of this book is to incorporate Marshallian ideas such as external increasing returns and monopolistic competitions into the general equilibrium framework of Walrasian tradition. New chapters and sections have been added to this revised and expanded edition of General Equilibrium Analysis of Production and Increasing Returns (World Scientific, 2009).The new material includes a presentation of equilibrium existence and core equivalence theorems for an infinite horizon economy with a measure space of consumers. These results are currently the focus of extensive studies by mathematical theorists, and are obtained by an application of an advanced mathematical concept called saturated (super-atomless) measure space.The second major change is the inclusion of a simple toy model of a liberal society which implements the difference principle proposed by J Rawls as a principle of distributive justice. This new section opens up a possibility to connect theoretical economics and political philosophy.Thirdly, the author presents the marginal cost pricing equilibrium and discusses welfare properties of the external increasing returns, which also belong to Marshall/ Pigou tradition of the Cambridge school.Finally, a new mathematical appendix treats basics of singular homology theory. Although the fixed point theorem is originally a theorem of algebraic topology, most economic students know its proof only in the context of the differentiable manifold theory presented by J Milnor. Considering the significance of the fixed point theorem and its playing a key role in general equilibrium theory, the purpose of this new appendix is to provide readers with the idea of a proof of Brower's fixed point theorem from the 'right place'.This volume will be helpful for graduate students and researchers of mathematical economics, game theory, and microeconomics.

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.

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.