Evolutionary Dynamics And Extensive Form Games

Evolutionary Dynamics and Extensive Form Games PDF
Author: Ross Cressman
Publisher: MIT Press
ISBN: 9780262033053
Size: 59.55 MB
Format: PDF, Mobi
Category : Business & Economics
Languages : en
Pages : 316
View: 5812

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Book Description: An analysis of standard evolutionary dynamics adapted to extensive form games. 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 book offers a synthesis of current knowledge about extensive form games from an evolutionary perspective, emphasizing connections between the extensive form representation and dynamic models that traditionally have been applied to biological and economic phenomena. It develops a general theory to analyze dynamically arbitrary extensive form games and applies this theory to a range of examples. It lays the foundation for the analysis of specific extensive form models of behavior and for the further theoretical study of extensive form evolutionary games.

Evolutionary Game Dynamics

Evolutionary Game Dynamics PDF
Author: American Mathematical Society. Short Course
Publisher: American Mathematical Soc.
ISBN: 0821853260
Size: 19.19 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 175
View: 6219

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Book Description: This 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.

Symmetry And Collective Fluctuations In Evolutionary Games

Symmetry and Collective Fluctuations in Evolutionary Games PDF
Author: Eric Smith
Publisher:
ISBN: 9781627052818
Size: 23.35 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages :
View: 668

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Book Description:

Advances In Dynamic And Evolutionary Games

Advances in Dynamic and Evolutionary Games PDF
Author: Frank Thuijsman
Publisher: Birkhäuser
ISBN: 3319280147
Size: 23.53 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 319
View: 3958

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Book Description: This contributed volume considers recent advances in dynamic games and their applications, based on presentations given at the 16th Symposium of the International Society of Dynamic Games, held July 9-12, 2014, in Amsterdam. Written by experts in their respective disciplines, these papers cover various aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. They discuss theoretical developments, algorithmic methods, issues relating to lack of information, and applications in areas such as biological or economical competition, stability in communication networks, and maintenance decisions in an electricity market, just to name a few. Advances in Dynamic and Evolutionary Games presents state-of-the-art research in a wide spectrum of areas. As such, it serves as a testament to the vitality and growth of the field of dynamic games and their applications. It will be of interest to an interdisciplinary audience of researchers, practitioners, and advanced graduate students.

Population Games And Evolutionary Dynamics

Population Games and Evolutionary Dynamics PDF
Author: William H. Sandholm
Publisher: MIT Press
ISBN: 0262195879
Size: 43.18 MB
Format: PDF, Docs
Category : Business & Economics
Languages : en
Pages : 589
View: 158

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Book Description: This text offers a systematic, rigorous, and unified presentation of evolutionary game theory, covering the core developments of the theory from its inception in biology in the 1970s through recent advances. Evolutionary game theory, which studies the behavior of large populations of strategically interacting agents, is used by economists to make predictions in settings where traditional assumptions about agents' rationality and knowledge may not be justified. Recently, computer scientists, transportation scientists, engineers, and control theorists have also turned to evolutionary game theory, seeking tools for modeling dynamics in multiagent systems. Population Games and Evolutionary Dynamics provides a point of entry into the field for researchers and students in all of these disciplines. The text first considers population games, which provide a simple, powerful model for studying strategic interactions among large numbers of anonymous agents. It then studies the dynamics of behavior in these games. By introducing a general model of myopic strategy revision by individual agents, the text provides foundations for two distinct approaches to aggregate behavior dynamics: the deterministic approach, based on differential equations, and the stochastic approach, based on Markov processes. Key results on local stability, global convergence, stochastic stability, and nonconvergence are developed in detail. Ten substantial appendixes present the mathematical tools needed to work in evolutionary game theory, offering a practical introduction to the methods of dynamic modeling. Accompanying the text are more than 200 color illustrations of the mathematics and theoretical results; many were created using the Dynamo software suite, which is freely available on the author's Web site. Readers are encouraged to use Dynamo to run quick numerical experiments and to create publishable figures for their own research.

Evolutionstheorie Und Dynamische Systeme

Evolutionstheorie und dynamische Systeme PDF
Author: Josef Hofbauer
Publisher:
ISBN:
Size: 17.95 MB
Format: PDF, Mobi
Category : Biomathematics
Languages : de
Pages : 213
View: 1109

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Book Description:

Game Theoretical Models In Biology

Game Theoretical Models in Biology PDF
Author: Mark Broom
Publisher: CRC Press
ISBN: 1439853215
Size: 31.70 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 520
View: 2697

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Book Description: Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use MATLAB® to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behavior, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modeling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modeling of these diverse biological phenomena.

Evolutionary Game Theory Natural Selection And Darwinian Dynamics

Evolutionary Game Theory  Natural Selection  and Darwinian Dynamics PDF
Author: Thomas L. Vincent
Publisher: Cambridge University Press
ISBN: 9781139444293
Size: 52.81 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages :
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Book Description: All of life is a game, and evolution by natural selection is no exception. The evolutionary game theory developed in this 2005 book provides the tools necessary for understanding many of nature's mysteries, including co-evolution, speciation, extinction and the major biological questions regarding fit of form and function, diversity, procession, and the distribution and abundance of life. Mathematics for the evolutionary game are developed based on Darwin's postulates leading to the concept of a fitness generating function (G-function). G-function is a tool that simplifies notation and plays an important role developing Darwinian dynamics that drive natural selection. Natural selection may result in special outcomes such as the evolutionarily stable strategy (ESS). An ESS maximum principle is formulated and its graphical representation as an adaptive landscape illuminates concepts such as adaptation, Fisher's Fundamental Theorem of Natural Selection, and the nature of life's evolutionary game.

Kooperative Intelligenz

Kooperative Intelligenz PDF
Author: Martin A. Nowak
Publisher: C.H.Beck
ISBN: 3406655483
Size: 22.16 MB
Format: PDF, ePub, Docs
Category : Science
Languages : de
Pages : 347
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Book Description: Im Spiel des Lebens treibt uns das Streben nach Erfolg an. Wir alle wollen Sieger sein. Selbst unsere Gene, so heißt es, seien egoistisch. Aber Konkurrenz erzählt nicht die ganze Geschichte der Biologie. Etwas Grundlegendes fehlt. Um zu überleben, betreiben die Geschöpfe jeder Spezies und auf jeder Stufe der Komplexität auch Kooperation. In der menschlichen Gesellschaft ist Kooperation sogar allgegenwärtig. Selbst einfachste Abläufe bestehen aus mehr Zusammenarbeit, als man meinen könnte. Dabei beschränkt sich Kooperation nicht darauf, auf ein gemeinsames Ziel hinzuarbeiten. Kooperation bedeutet darüber hinaus, dass Menschen, die potenziell Konkurrenten sind, stattdessen beschließen, einander zu helfen. „Kooperative Intelligenz“ entschlüsselt das Rätsel, wie es dazu kommt und warum auf lange Sicht Kooperation immer gewinnt. Es erweitert unser Verständnis von Evolution und Solidarität.

Handbuch Modellbildung Und Simulation In Den Sozialwissenschaften

Handbuch Modellbildung und Simulation in den Sozialwissenschaften PDF
Author: Norman Braun
Publisher: Springer-Verlag
ISBN: 3658011645
Size: 60.95 MB
Format: PDF, Mobi
Category : Social Science
Languages : de
Pages : 1079
View: 2600

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Book Description: Das Handbuch Modellbildung und Simulation in den Sozialwissenschaften bietet in 37 Artikeln einen umfassenden Überblick über sozialwissenschaftliche Modellbildung und Simulation. Es vermittelt wissenschaftstheoretische und methodische Grundlagen sowie den Stand der Forschung in den wichtigsten Anwendungsgebieten. Behandelt werden realistische, strukturalistische und konstruktivistische Zugriffe auf Modellbildung und Simulation, bedeutende Methoden und Typen der Modellierung (u.a. stochastische Prozesse und Bayes-Verfahren, nutzen- und spieltheoretische Modellierungen) und Ansätze der Computersimulation (z.B. Multi-Agenten-Modelle, zelluläre Automaten, neuronale Netze, Small Worlds). Die Anwendungskapitel befassen sich u.a. mit sozialen Dilemmata, sozialen Normen, Innovation und Diffusion, Herrschaft und Organisation, Gewalt und Krieg.