While Game Theory is used and explored across a variety of fields (not least within economics and philosophy), the application of this approach can be particularly interesting when explored in the context of human behavior and psychology.īy restricting the choices that people can make, it becomes possible to investigate the process of decision making in a systematic way. Ideas were developed further by mathematicians such as John Nash, and Robert Axelrod. While ideas relating to Game Theory have been proposed and discussed for a long time, it was only in 1928 with John von Neumann’s book “ Theory of Games and Economic Behavior” that the field was formalised. What is Game Theory?ĭefined as “the study of mathematical models of conflict and cooperation between intelligent rational decision makers”, it is essentially a field of study that looks at the way in which people respond to limited choices, that have a limited set of outcomes that can be either good, bad, or neutral. This is where Game Theory comes in.īelow, we will explore what Game Theory is, examples of its use in human behavior experiments, and how biosensors (eye tracking, GSR, facial expression analysis, and EEG in particular) can help investigate the decision making process in detail. It has often been difficult for psychologists and human behavior researchers to investigate our decision making in a systematic way for this very reason. With most decisions in the real world, there are a huge number of possible actions that can be taken, and almost as many extraneous factors that can influence what choice we make. Understanding this decision making process – how we end up committing to a certain form of action – is one of the central tasks of human behavior research. Our days are shaped by decisions both big and small as we make our way through the world (“what should I wear today?”, “what should I do with my life?”). Readership: Undergraduates and graduate students in applied mathematics, economics, business, finances and systems biology non-experts interested in the application of mathematical methods and ideas in natural and social sciences, business and life.As humans, we are always making choices. A Rapid Course in Mathematical Game Theory.The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.Ĭhapter 1: Around the prisoner's dilemma (6,732 KB)Ĭhapter 2: Auctions and networks (2,140 KB)Ĭhapter 7: At the doors of quantum games (2,570 KB) To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. It includes an advanced material not yet reflected in standard textbooks, providing links with the exciting modern developments in financial mathematics (rainbow option pricing), tropical mathematics, statistical physics (interacting particles) and discusses structural stability, multi-criteria differential games and turnpikes. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels. 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 I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. 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. 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. This book on game theory, its applications and mathematical methods, is written with this objective in mind. 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.
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