Symmetry And Collective Fluctuations In Evolutionary Games


Symmetry And Collective Fluctuations In Evolutionary Games
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Symmetry And Collective Fluctuations In Evolutionary Games


Symmetry And Collective Fluctuations In Evolutionary Games
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Author : Eric Smith
language : en
Publisher:
Release Date : 2015

Symmetry And Collective Fluctuations In Evolutionary Games written by Eric Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Electronic books categories.


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.



Symmetry And Collective Fluctuations In Evolutionary Games


Symmetry And Collective Fluctuations In Evolutionary Games
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Author : Eric Smith
language : en
Publisher: Myprint
Release Date : 2015-02-02

Symmetry And Collective Fluctuations In Evolutionary Games written by Eric Smith and has been published by Myprint this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-02 with categories.




Adaptation And Evolution In Collective Systems


Adaptation And Evolution In Collective Systems
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Author : Akira Namatame
language : en
Publisher: World Scientific
Release Date : 2006

Adaptation And Evolution In Collective Systems written by Akira Namatame and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.


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.



The Guidance Of An Enterprise Economy


The Guidance Of An Enterprise Economy
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Author : Martin Shubik
language : en
Publisher: MIT Press
Release Date : 2022-11-01

The Guidance Of An Enterprise Economy written by Martin Shubik and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-01 with Business & Economics categories.


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.



Evolutionary Dynamics And Extensive Form Games


Evolutionary Dynamics And Extensive Form Games
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Author : Ross Cressman
language : en
Publisher: MIT Press
Release Date : 2003

Evolutionary Dynamics And Extensive Form Games written by Ross Cressman and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Business & Economics categories.


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.



The Origin And Nature Of Life On Earth


The Origin And Nature Of Life On Earth
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Author : Eric Smith
language : en
Publisher: Cambridge University Press
Release Date : 2016-03-31

The Origin And Nature Of Life On Earth written by Eric Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-31 with Science categories.


Uniting the foundations of physics and biology, this groundbreaking multidisciplinary and integrative book explores life as a planetary process.



Evolutionary Games In Natural Social And Virtual Worlds


Evolutionary Games In Natural Social And Virtual Worlds
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Author : Daniel Friedman
language : en
Publisher: Oxford University Press
Release Date : 2016-02-01

Evolutionary Games In Natural Social And Virtual Worlds written by Daniel Friedman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-01 with Business & Economics categories.


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
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Author : Josef Hofbauer
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-28

Evolutionary Games And Population Dynamics written by Josef Hofbauer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-28 with Mathematics categories.


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 The Replicator Dynamics


Evolutionary Games And The Replicator Dynamics
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Author : Saul Mendoza-Palacios
language : en
Publisher: Cambridge University Press
Release Date : 2024-06-06

Evolutionary Games And The Replicator Dynamics written by Saul Mendoza-Palacios and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-06 with Business & Economics categories.


This Element introduces the replicator dynamics for symmetric and asymmetric games where the strategy sets are metric spaces. Under this hypothesis the replicator dynamics evolves in a Banach space of finite signed measures. The authors provide a general framework to study the stability of the replicator dynamics for evolutionary games in this Banach space. This allows them to establish a relation between Nash equilibria and the stability of the replicator for normal a form games applicable to oligopoly models, theory of international trade, public good models, the tragedy of commons, and War of attrition game among others. They also provide conditions to approximate the replicator dynamics on a space of measures by means of a finite-dimensional dynamical system and a sequence of measure-valued Markov processes.



Population Games And Evolutionary Dynamics


Population Games And Evolutionary Dynamics
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Author : William H. Sandholm
language : en
Publisher: MIT Press
Release Date : 2010-12-17

Population Games And Evolutionary Dynamics written by William H. Sandholm and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-17 with Business & Economics categories.


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.