Evolutionary Games and Population Dynamics

Evolutionary Games and Population Dynamics PDF Author: Josef Hofbauer
Publisher: Cambridge University Press
ISBN: 9780521625708
Category : Mathematics
Languages : en
Pages : 356
Book Description
How to understand evolution in mathematical terms, i.e. how to model natural selection by game theory.

Evolutionary Game Dynamics

Evolutionary Game Dynamics PDF Author: American Mathematical Society. Short Course
Publisher: American Mathematical Soc.
ISBN: 0821853260
Category : Mathematics
Languages : en
Pages : 175
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.

Advances in Dynamic Game Theory

Advances in Dynamic Game Theory PDF Author: Steffen Jorgensen
Publisher: Springer Science & Business Media
ISBN: 0817645535
Category : Mathematics
Languages : en
Pages : 718
Book Description
This collection of selected contributions gives an account of recent developments in dynamic game theory and its applications, covering both theoretical advances and new applications of dynamic games in such areas as pursuit-evasion games, ecology, and economics. Written by experts in their respective disciplines, the chapters include stochastic and differential games; dynamic games and their applications in various areas, such as ecology and economics; pursuit-evasion games; and evolutionary game theory and applications. The work will serve as a state-of-the art account of recent advances in dynamic game theory and its applications for researchers, practitioners, and advanced students in applied mathematics, mathematical finance, and engineering.

Advances in Dynamic and Evolutionary Games

Advances in Dynamic and Evolutionary Games PDF Author: Frank Thuijsman
Publisher: Birkhäuser
ISBN: 3319280147
Category : Mathematics
Languages : en
Pages : 319
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
Category : Business & Economics
Languages : en
Pages : 618
Book Description
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.

The Role of Population Games in the Design of Optimization-Based Controllers

The Role of Population Games in the Design of Optimization-Based Controllers PDF Author: Julian Barreiro-Gomez
Publisher: Springer
ISBN: 3319922041
Category : Technology & Engineering
Languages : en
Pages : 201
Book Description
This book reports on the implementation of evolutionary-game theory in the design of distributed optimization-based controllers. First, it discusses how the classical population-game approach can contribute to and complement the design of optimization-based controllers. It shows how the features of this approach can be exploited to extend their capabilities in the solution of distributed optimization problems, and examines density games in order to consider multiple coupled constraints and preserve the non-centralized information requirements. Furthermore, it establishes a close relationship between the possible interactions among agents in a population with constrained information sharing among different local controllers. It also discusses coalitional games, focusing on the Shapley power index and proposes an alternative method of computing the latter, which reduces computational time, as well as a different way of finding it using distributed communication structures. All the proposed strategies are then tested on various control problems, such as those related to the Barcelona water supply network, multiple continuous stirred tank reactors, various unmanned aerial vehicle systems, and a water distribution system. This thesis, examined at the Universitat Politècnica de Catalunya and Universidad de los Andes in 2017, received the award for best thesis in control from the control group of the Spanish Committee of Automatic Control (CEA) in the same year.

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
Category : Science
Languages : en
Pages : 424
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.

Advances in Neural Networks - ISNN 2009

Advances in Neural Networks - ISNN 2009 PDF Author: Wen Yu
Publisher: Springer Science & Business Media
ISBN: 3642015069
Category : Computers
Languages : en
Pages : 1270
Book Description
The three volume set LNCS 5551/5552/5553 constitutes the refereed proceedings of the 6th International Symposium on Neural Networks, ISNN 2009, held in Wuhan, China in May 2009. The 409 revised papers presented were carefully reviewed and selected from a total of 1.235 submissions. The papers are organized in 20 topical sections on theoretical analysis, stability, time-delay neural networks, machine learning, neural modeling, decision making systems, fuzzy systems and fuzzy neural networks, support vector machines and kernel methods, genetic algorithms, clustering and classification, pattern recognition, intelligent control, optimization, robotics, image processing, signal processing, biomedical applications, fault diagnosis, telecommunication, sensor network and transportation systems, as well as applications.

Advances in Dynamic Games

Advances in Dynamic Games PDF Author: David M. Ramsey
Publisher: Springer Nature
ISBN: 3030565343
Category : Mathematics
Languages : en
Pages : 346
Book Description
This contributed volume collects talks originally given at the 18th International Symposium on Dynamic Games and Applications, held in Grenoble, France from July 9-12, 2018. Chapters present state-of-the-art research in the field of dynamic games and are written by leading experts in this active area. Featuring a broad overview of recent advances as well as a wide range of applications, this book is organized into four sections: games of conflict, evolutionary games, economic games, and games involving common interest. Within these sections, specific topics covered include: Pursuit-evasion games Partnership formation games Replicator dynamics Load balancing congestion games Equilibrium coalition structures Advances in Dynamic Games will be of particular interest to researchers and doctoral students studying game theory.

The Calculus of Selfishness

The Calculus of Selfishness PDF Author: Karl Sigmund
Publisher: Princeton University Press
ISBN: 0691171084
Category : Business & Economics
Languages : en
Pages : 184
Book Description
This volume looks at social dilemmas where cooperative motivations are subverted and self-interest becomes self-defeating. Sigmund, a pioneer in evolutionary game theory, uses simple and well-known game theory models to examine the foundations of collective action and the effects of reciprocity and reputation.