It all started with von Neumann and Morgenstern half a century ago. Their Theory of Games and Economic Behavior gave birth to a whole new area of mathematics concerned with the formal problems of rational decision as experienced by multiple agents. Now, game theory is all around us, making its way even into regular conversations. In the present book, Mehlmann presents mathematical foundations and concepts illustrated via social quandaries, mock political battles, evolutionary confrontations, economic struggles, and literary conflict. Most of the standard models - the prisoners' dilemma, the arms race, evolution, duels, the game of chicken, etc. - are here. Many non-standard examples are also here: the Legend of Faust, shootouts in the movies, the Madness of Odysseus, to name a few. The author uses familiar formulas, fables, and paradoxes to guide readers through what he calls the "hall of mirrors of strategic decision-making". His light-hearted excursion into the world of strategic calculation shows that even deep insights into the nature of strategic thought can be elucidated by games, puzzles and diversions. Originally written in German and published by Vieweg-Verlag, this AMS edition is a translation tailored for the English-speaking reader. It offers an intriguing look at myths and paradoxes through the lens of game theory, bringing the mathematics into sharper focus at the same time. This book is a must for those who wish to consider game theory from a different perspective: one that embraces science, literature, and real-life conflict. The Game's Afoot! would make an excellent book for an undergraduate course in game theory. It can also be used for independent study or as supplementary course reading. The connections to literature, films and everyday life also make it highly suitable as a text for a challenging course for non-majors. Its refreshing style and amusing combination of game theoretic analysis and cultural issues even make it appealing as recreational reading.

Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.This new edition has been updated and enlarged. In particular, two new chapters were added on statistical limit of games with many agents and on quantum games, reflecting possibly the two most stunning trends in the game theory of the 21st century.

This book offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. Designed as a textbook for an undergraduate mathematics class and with ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.

How game theory can offer insights into literary, historical, and philosophical texts ranging from Macbeth to Supreme Court decisions. Game theory models are ubiquitous in economics, common in political science, and increasingly used in psychology and sociology; in evolutionary biology, they offer compelling explanations for competition in nature. But game theory has been only sporadically applied to the humanities; indeed, we almost never associate mathematical calculations of strategic choice with the worlds of literature, history, and philosophy. And yet, as Steven Brams shows, game theory can illuminate the rational choices made by characters in texts ranging from the Bible to Joseph Heller's Catch-22 and can explicate strategic questions in law, history, and philosophy. Much of Brams's analysis is based on the theory of moves (TOM), which is grounded in game theory, and which he develops gradually and applies systematically throughout. TOM illuminates the dynamics of player choices, including their misperceptions, deceptions, and uses of different kinds of power. Brams examines such topics as the outcome and payoff matrix of Pascal's wager on the existence of God; the strategic games played by presidents and Supreme Court justices; and how information was slowly uncovered in the game played by Hamlet and Claudius. The reader gains not just new insights into the actions of certain literary and historical characters but also a larger strategic perspective on the choices that make us human.

The world is a mad place and the various vicissitudes of life appear to make it more so. The inherent mutability in nature can swing from the serendipitous to surreal malignity within a matter of moments. In this day and age, events can be ephemeral or appear so prolonged we are left, agonisingly, to wonder if they will ever terminate at all. To be lost in such a bewildering universe, when it feels impossible to gather oneself, to take stock of the changeability or to bear the interminable, we feel impotent, overwhelmed and wrongfully abused. Sanity and Solitude is one man's ramble through these frightful absurdities and contradictions that appear to confront us at every turn. To understand insanity one has to travel oneself to the very fringes of insanity itself for better or for worse. "We are the clouds that veil the midnight moon; How restlessly they speed, and gleam, and quiver, Streaking the darkness radiantly!--yet soon Night closes round, and they are lost forever". (Percy Bysshe Shelley)

The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. In

Between 1945 and 1968, the possibility of Mutual Assured Destruction led to a host of odd realities, including the creation of an affable cartoon turtle named Bert who taught millions of school children that nuclear war was survivable if they simply learned how to “duck and cover.” Meanwhile, fear of Communism played out against the backdrop of potential Armageddon to provide justification for a variety of covert operations involving regime change, political assassination, and sometimes bizarre plot twists. United States Foreign Policy 1945-1968: The Bomb, Spies, Stories, and Lies takes a fresh look at this complex, often confusing, and frequently farcical period in American and world history.

* MySQL 5, due to be released in summer 2005, is slated to be the most significant release in the product’s history. The Definitive Guide to MySQL 5, Third Edition is the first book to offer in-depth instruction on the new features. * This book shows readers how to connect to MySQL via all of the major APIs, including PHP, Perl, Java, JSP, and C#/. * Novice and intermediate database administrators are introduced to both MySQL’s key features, and crucial database management concepts by way of real-world examples such as discussion forums, online polls, and other data administration projects.

Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality, Ramsey theory is quite powerful, but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers, the authors have produced a gentle, but meaningful, introduction to an important and enticing branch of modern mathematics.""Ramsey Theory on the Integers"" offers students something quite rare for a book at this level: a glimpse into the world of mathematical research and the opportunity for them to begin pondering unsolved problems. In addition to being the first truly accessible book on Ramsey theory, this innovative book also provides the first cohesive study of Ramsey theory on the integers. It contains perhaps the most substantial account of solved and unsolved problems in this blossoming subarea of Ramsey theory. The result is a breakthrough book that will engage students, teachers, and researchers alike.

This book discusses the extent to which Thomas Piketty’s work can offer a model for ancient economic history, both methodologically and politically. The book derives from a research workshop in Berlin in April 2018, which brought together a group of established and early career scholars to discuss the implications of Piketty’s work and related themes for classical antiquity. Key questions reflected in the text include:d: How should we characterise the ‘development’ of the economy/economies of the classical Mediterranean, in relation to the role of ‘capital’ and the prevalence of inequality? How was wealth, both public and private, evaluated and managed? How much of the wealth of their society did the ancient 1% control – and is their dominance better understood in terms of the power of capital, or the role of predation and state capture? How far did certain ancient polities – above all the Greek city-states – succeed in placing limits on the power of the rich and integrating their interests with those of the masses? Did inequality increase between the height of the Roman Principate and late antiquity, as is often believed? This book will be valuable reading for academics and students working in economic history, ancient history, and other related fields.