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Symmetry and Collective Fluctuations in Evolutionary Games

Symmetry and Collective Fluctuations in Evolutionary Games
Author: Eric Smith
Publisher:
Total Pages: 0
Release: 2015
Genre: Electronic books
ISBN: 9780750311397

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Evolutionary game theory has the potential to provide an integrated framework to model many aspects of evolution, development, and ecology. The reliable use of game models, however, requires an understanding of their behaviour when the number of players becomes very large, resulting in the emergence of thermodynamic limits. This behaviour is controlled by the symmetries that characterize the game, and the approach to the thermodynamic limit is governed by collective fluctuations in the actions of the players. In this book, the authors present methods to derive large-deviations limits for population processes, and apply these to game models illustrating the many roles of symmetry and collective fluctuations in evolutionary dynamics.


The Guidance of an Enterprise Economy

The Guidance of an Enterprise Economy
Author: Martin Shubik
Publisher: MIT Press
Total Pages: 591
Release: 2022-11-01
Genre: Business & Economics
ISBN: 0262546779

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A rigorous theory of money, credit, and bankruptcy in the context of a mixed economy, uniting Walrasian general equilibrium with macroeconomic dynamics and Schumpeterian innovation. This book offers a rigorous study of control, guidance, and coordination problems of an enterprise economy, with attention to the roles of money and financial institutions. The approach is distinctive in drawing on game theory, methods of physics and experimental gaming, and, more generally, a broader evolutionary perspective from the biological and behavioral sciences. The proposed theory unites Walrasian general equilibrium with macroeconomic dynamics and Schumpeterian innovation utilizing strategic market games. Problems concerning the meaning of rational economic behavior and the concept of solution are noted. The authors argue that process models of the economy can be built that are consistent with the general equilibrium system but become progressively more complex as new functions are added. Explicit embedding of the economy within the framework of government and society provides a natural, both formal and informal, control system. The authors describe how to build and analyze multistate models with simple assumptions about behavior, and develop a general modeling methodology for the construction of models as playable games.


The Origin and Nature of Life on Earth

The Origin and Nature of Life on Earth
Author: Eric Smith
Publisher: Cambridge University Press
Total Pages: 703
Release: 2016-03-31
Genre: Science
ISBN: 131648985X

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Uniting the conceptual foundations of the physical sciences and biology, this groundbreaking multidisciplinary book explores the origin of life as a planetary process. Combining geology, geochemistry, biochemistry, microbiology, evolution and statistical physics to create an inclusive picture of the living state, the authors develop the argument that the emergence of life was a necessary cascade of non-equilibrium phase transitions that opened new channels for chemical energy flow on Earth. This full colour and logically structured book introduces the main areas of significance and provides a well-ordered and accessible introduction to multiple literatures outside the confines of disciplinary specializations, as well as including an extensive bibliography to provide context and further reading. For researchers, professionals entering the field or specialists looking for a coherent overview, this text brings together diverse perspectives to form a unified picture of the origin of life and the ongoing organization of the biosphere.


Adaptation and Evolution in Collective Systems

Adaptation and Evolution in Collective Systems
Author: Akira Namatame
Publisher: World Scientific
Total Pages: 373
Release: 2006
Genre: Computers
ISBN: 9812773223

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Self-contained and unified in presentation, this invaluable book provides a broad introduction to the fascinating subject of many-body collective systems with adapting and evolving agents. The coverage includes game theoretic systems, multi-agent systems, and large-scale socio-economic systems of individual optimizing agents. The diversity and scope of such systems have been steadily growing in computer science, economics, social sciences, physics, and biology.


Evolutionary Dynamics and Extensive Form Games

Evolutionary Dynamics and Extensive Form Games
Author: Ross Cressman
Publisher: MIT Press
Total Pages: 346
Release: 2003
Genre: Business & Economics
ISBN: 9780262033053

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Evolutionary game theory attempts to predict individual behavior (whether of humans or other species) when interactions between individuals are modeled as a noncooperative game. Most dynamic analyses of evolutionary games are based on their normal forms, despite the fact that many interesting games are specified more naturally through their extensive forms. Because every extensive form game has a normal form representation, some theorists hold that the best way to analyze an extensive form game is simply to ignore the extensive form structure and study the game in its normal form representation. This book rejects that suggestion, arguing that a game's normal form representation often omits essential information from the perspective of dynamic evolutionary game theory.


Evolutionary Games in Natural, Social, and Virtual Worlds

Evolutionary Games in Natural, Social, and Virtual Worlds
Author: Daniel Friedman
Publisher: Oxford University Press
Total Pages: 320
Release: 2016-02-01
Genre: Business & Economics
ISBN: 0199981175

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Over the last 25 years, evolutionary game theory has grown with theoretical contributions from the disciplines of mathematics, economics, computer science and biology. It is now ripe for applications. In this book, Daniel Friedman---an economist trained in mathematics---and Barry Sinervo---a biologist trained in mathematics---offer the first unified account of evolutionary game theory aimed at applied researchers. They show how to use a single set of tools to build useful models for three different worlds: the natural world studied by biologists; the social world studied by anthropologists, economists, political scientists and others; and the virtual world built by computer scientists and engineers. The first six chapters offer an accessible introduction to core concepts of evolutionary game theory. These include fitness, replicator dynamics, sexual dynamics, memes and genes, single and multiple population games, Nash equilibrium and evolutionarily stable states, noisy best response and other adaptive processes, the Price equation, and cellular automata. The material connects evolutionary game theory with classic population genetic models, and also with classical game theory. Notably, these chapters also show how to estimate payoff and choice parameters from the data. The last eight chapters present exemplary game theory applications. These include a new coevolutionary predator-prey learning model extending rock-paper-scissors; models that use human subject laboratory data to estimate learning dynamics; new approaches to plastic strategies and life cycle strategies, including estimates for male elephant seals; a comparison of machine learning techniques for preserving diversity to those seen in the natural world; analyses of congestion in traffic networks (either internet or highways) and the "price of anarchy"; environmental and trade policy analysis based on evolutionary games; the evolution of cooperation; and speciation. As an aid for instruction, a web site provides downloadable computational tools written in the R programming language, Matlab, Mathematica and Excel.


Evolutionary Games and Population Dynamics

Evolutionary Games and Population Dynamics
Author: Josef Hofbauer
Publisher: Cambridge University Press
Total Pages: 356
Release: 1998-05-28
Genre: Mathematics
ISBN: 9780521625708

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Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.


Evolutionary Games and Equilibrium Selection

Evolutionary Games and Equilibrium Selection
Author: Larry Samuelson
Publisher: MIT Press
Total Pages: 332
Release: 1997
Genre: Business & Economics
ISBN: 9780262692199

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The 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.


Population Games and Evolutionary Dynamics

Population Games and Evolutionary Dynamics
Author: William H. Sandholm
Publisher: MIT Press
Total Pages: 618
Release: 2010-12-17
Genre: Business & Economics
ISBN: 0262195879

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Evolutionary game theory studies the behaviour of large populations of strategically interacting agents & is used by economists to predict in settings where traditional assumptions about the rationality of agents & knowledge may be inapplicable.