Learning, Mutation, and Long Run Equilibria in Games
Author: Michihiro Kandori
Publisher:
Published: 1991
Total Pages: 52
ISBN-13:
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Game Theory
Author: Drew Fudenberg
Publisher: MIT Press
Published: 1991-08-29
Total Pages: 616
ISBN-13: 0262303760
DOWNLOAD EBOOKThis advanced text introduces the principles of noncooperative game theory in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. This advanced text introduces the principles of noncooperative game theory—including strategic form games, Nash equilibria, subgame perfection, repeated games, and games of incomplete information—in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.
Evolutionary Game Dynamics
Author: American Mathematical Society. Short Course
Publisher: American Mathematical Soc.
Published: 2011-10-27
Total Pages: 186
ISBN-13: 0821853260
DOWNLOAD EBOOKThis volume is based on lectures delivered at the 2011 AMS Short Course on Evolutionary Game Dynamics, held January 4-5, 2011 in New Orleans, Louisiana. Evolutionary game theory studies basic types of social interactions in populations of players. It combines the strategic viewpoint of classical game theory (independent rational players trying to outguess each other) with population dynamics (successful strategies increase their frequencies). A substantial part of the appeal of evolutionary game theory comes from its highly diverse applications such as social dilemmas, the evolution of language, or mating behaviour in animals. Moreover, its methods are becoming increasingly popular in computer science, engineering, and control theory. They help to design and control multi-agent systems, often with a large number of agents (for instance, when routing drivers over highway networks or data packets over the Internet). While these fields have traditionally used a top down approach by directly controlling the behaviour of each agent in the system, attention has recently turned to an indirect approach allowing the agents to function independently while providing incentives that lead them to behave in the desired way. Instead of the traditional assumption of equilibrium behaviour, researchers opt increasingly for the evolutionary paradigm and consider the dynamics of behaviour in populations of agents employing simple, myopic decision rules.
The Theory of Learning in Games
Author: Drew Fudenberg
Publisher: MIT Press
Published: 1998
Total Pages: 304
ISBN-13: 9780262061940
DOWNLOAD EBOOKThis work explains that equilibrium is the long-run outcome of a process in which non-fully rational players search for optimality over time. The models they e×plore provide a foundation for equilibrium theory and suggest ways for economists to evaluate and modify traditional equilibrium concepts.
Evolutionary Game Theory
Author: Jörgen W. Weibull
Publisher: MIT Press
Published: 1997
Total Pages: 292
ISBN-13: 9780262731218
DOWNLOAD EBOOKIntroduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. This text introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. Much of the text is devoted to the key concepts of evolutionary stability and replicator dynamics. The former highlights the role of mutations and the latter the mechanisms of selection. Moreover, set-valued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to noncooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries. Because evolutionary game theory is a fast-moving field that is itself branching out and rapidly evolving, Jörgen Weibull has judiciously focused on clarifying and explaining core elements of the theory in an up-to-date, comprehensive, and self-contained treatment. The result is a text for second-year graduate students in economic theory, other social sciences, and evolutionary biology. The book goes beyond filling the gap between texts by Maynard-Smith and Hofbauer and Sigmund that are currently being used in the field. Evolutionary Game Theory will also serve as an introduction for those embarking on research in this area as well as a reference for those already familiar with the field. Weibull provides an overview of the developments that have taken place in this branch of game theory, discusses the mathematical tools needed to understand the area, describes both the motivation and intuition for the concepts involved, and explains why and how it is relevant to economics.
Evolutionary Games and Equilibrium Selection
Author: Larry Samuelson
Publisher: MIT Press
Published: 1997
Total Pages: 332
ISBN-13: 9780262692199
DOWNLOAD EBOOKThe author examines the interplay between evolutionary game theory and the equilibrium selection problem in noncooperative games. Evolutionary game theory is one of the most active and rapidly growing areas of research in economics. Unlike traditional game theory models, which assume that all players are fully rational and have complete knowledge of details of the game, evolutionary models assume that people choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. In games that are repeated many times, low-payoff strategies tend to be weeded out, and an equilibrium may emerge. Larry Samuelson has been one of the main contributors to the evolutionary game theory literature. In Evolutionary Games and Equilibrium Selection, he examines the interplay between evolutionary game theory and the equilibrium selection problem in noncooperative games. After providing an overview of the basic issues of game theory and a presentation of the basic models, the book addresses evolutionary stability, the dynamics of sample paths, the ultimatum game, drift, noise, backward and forward induction, and strict Nash equilibria.
Individual Strategy and Social Structure
Author: H. Peyton Young
Publisher: Princeton University Press
Published: 2020-06-16
Total Pages: 208
ISBN-13: 0691214255
DOWNLOAD EBOOKNeoclassical economics as-sumes that people are highly rational and can reason their way through even the most complex economic problems. In Individual Strategy and Social Structure, Peyton Young argues for a more realistic view in which people have a limited understanding of their environment, are sometimes short-sighted, and occasionally act in perverse ways. He shows how the cumulative experiences of many such individuals coalesce over time into customs, norms, and institutions that govern economic and social life. He develops a theory that predicts how such institutions evolve and characterizes their welfare properties. The ideas are illustrated through a variety of examples, including patterns of residential segregation, rules of the road, claims on property, forms of economic contracts, and norms of equity. The book relies on new results in evolutionary game theory and stochastic dynamical systems theory, many of them originated by the author. It can serve as an introductory text, or be read on its own as a contribution to the study of economic and social institutions.
The Foundations of Behavioral Economic Analysis
Author: Sanjit S. Dhami
Publisher: Oxford University Press
Published: 2016
Total Pages: 1799
ISBN-13: 0198715528
DOWNLOAD EBOOKIt considers the evidence against the exponential discounted utility model and describes several behavioral models such as hyperbolic discounting, attribute based models and the reference time theory. Part IV describes the evidence on classical game theory and considers several models of behavioral game theory, including level-k and cognitive hierarchy models, quantal response equilibrium, and psychological game theory. Part V considers behavioral models of learning that include evolutionary game theory, classical models of learning, experience weighted attraction model, learning direction theory, and stochastic social dynamics. Part VI studies the role of emotions; among other topics it considers projection bias, temptation preferences, happiness economics, and interaction between emotions and cognition. Part VII considers bounded rationality. The three main topics considered are judgment heuristics and biases, mental accounting, and behavioral finance.
Frontiers of Research in Economic Theory
Author: J.L. Kellogg Graduate School of Management
Publisher: Cambridge University Press
Published: 1998-11-13
Total Pages: 308
ISBN-13: 9780521635387
DOWNLOAD EBOOK'Leading economists presenting fundamentally important issues in economic theory' is the theme of the Nancy Schwartz lectures series held annually at the J. L. Kellogg Graduate School of Management of Northwestern University. Reporting on lectures delivered in the years 1983 through 1997, this collection of essays discusses economic behavior at the individual and group level and the implications to the performance of economic systems. Using non-technical language, the speakers present theoretical, experimental, and empirical analysis of decision making under uncertainty and under full and bounded rationality, the influence of economic incentives and habits, and the effects of learning and evolution on dynamic choice. Perfect competition, economic development, social insurance and social mobility, and negotiation and economic survival, are major economic subjects analyzed through our understanding of economic behavior.
Collected Papers
Author: Robert J. Aumann
Publisher: MIT Press
Published: 2000
Total Pages: 806
ISBN-13: 9780262011549
DOWNLOAD EBOOKRobert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. When you look closely at one scientific idea, writes Aumann, you find it hitched to all others. It is these hitches that I have tried to study.
