Evolutionary Game Dynamics

Evolutionary Game Dynamics

Author: American Mathematical Society. Short Course

Publisher: American Mathematical Soc.

Published: 2011-10-27

Total Pages: 186

ISBN-13: 0821853260

DOWNLOAD EBOOK

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.


Essay in Cooperative Games

Essay in Cooperative Games

Author: Gianfranco Gambarelli

Publisher: Springer Science & Business Media

Published: 2013-06-05

Total Pages: 241

ISBN-13: 1402029365

DOWNLOAD EBOOK

Essays on Cooperative Games collates selected contributions on Cooperative Games. The papers cover both theoretical aspects (Coalition Formation, Values, Simple Games and Dynamic Games) and applied aspects (in Finance, Production, Transportation and Market Games). A contribution on Minimax Theorem (by Ken Binmore) and a brief history of early Game Theory (by Gianfranco Gambarelli and Guillermo Owen) are also enclosed.


Fundamentals of Evolutionary Game Theory and its Applications

Fundamentals of Evolutionary Game Theory and its Applications

Author: Jun Tanimoto

Publisher: Springer

Published: 2015-10-23

Total Pages: 223

ISBN-13: 4431549625

DOWNLOAD EBOOK

​This book both summarizes the basic theory of evolutionary games and explains their developing applications, giving special attention to the 2-player, 2-strategy game. This game, usually termed a "2×2 game” in the jargon, has been deemed most important because it makes it possible to posit an archetype framework that can be extended to various applications for engineering, the social sciences, and even pure science fields spanning theoretical biology, physics, economics, politics, and information science. The 2×2 game is in fact one of the hottest issues in the field of statistical physics. The book first shows how the fundamental theory of the 2×2 game, based on so-called replicator dynamics, highlights its potential relation with nonlinear dynamical systems. This analytical approach implies that there is a gap between theoretical and reality-based prognoses observed in social systems of humans as well as in those of animal species. The book explains that this perceived gap is the result of an underlying reciprocity mechanism called social viscosity. As a second major point, the book puts a sharp focus on network reciprocity, one of the five fundamental mechanisms for adding social viscosity to a system and one that has been a great concern for study by statistical physicists in the past decade. The book explains how network reciprocity works for emerging cooperation, and readers can clearly understand the existence of substantial mechanics when the term "network reciprocity" is used. In the latter part of the book, readers will find several interesting examples in which evolutionary game theory is applied. One such example is traffic flow analysis. Traffic flow is one of the subjects that fluid dynamics can deal with, although flowing objects do not comprise a pure fluid but, rather, are a set of many particles. Applying the framework of evolutionary games to realistic traffic flows, the book reveals that social dilemma structures lie behind traffic flow.


The Handbook of Rationality

The Handbook of Rationality

Author: Markus Knauff

Publisher: MIT Press

Published: 2021-12-14

Total Pages: 879

ISBN-13: 026236185X

DOWNLOAD EBOOK

The first reference on rationality that integrates accounts from psychology and philosophy, covering descriptive and normative theories from both disciplines. Both analytic philosophy and cognitive psychology have made dramatic advances in understanding rationality, but there has been little interaction between the disciplines. This volume offers the first integrated overview of the state of the art in the psychology and philosophy of rationality. Written by leading experts from both disciplines, The Handbook of Rationality covers the main normative and descriptive theories of rationality—how people ought to think, how they actually think, and why we often deviate from what we can call rational. It also offers insights from other fields such as artificial intelligence, economics, the social sciences, and cognitive neuroscience. The Handbook proposes a novel classification system for researchers in human rationality, and it creates new connections between rationality research in philosophy, psychology, and other disciplines. Following the basic distinction between theoretical and practical rationality, the book first considers the theoretical side, including normative and descriptive theories of logical, probabilistic, causal, and defeasible reasoning. It then turns to the practical side, discussing topics such as decision making, bounded rationality, game theory, deontic and legal reasoning, and the relation between rationality and morality. Finally, it covers topics that arise in both theoretical and practical rationality, including visual and spatial thinking, scientific rationality, how children learn to reason rationally, and the connection between intelligence and rationality.


Evolutionary Games and Poverty Traps

Evolutionary Games and Poverty Traps

Author: Edgar J. Sánchez Carrera

Publisher: Cambridge Scholars Publishing

Published: 2015-11-25

Total Pages: 144

ISBN-13: 1443886343

DOWNLOAD EBOOK

This book explores how persistent states of underdevelopment can arise in strategic environments in which players are imitative rather than fully rational. Standard growth theory teaches that poverty traps are stable, low-level balanced growth paths to which economies gravitate due to adverse initial conditions or poor equilibrium selection. In other words, societies fail to take off into sustained growth because they started out as poor, with, for example, low longevity or poor human capital, or because they cannot invent institutions that successfully coordinate their investments. Evolutionary Games and Poverty Traps explains this pernicious form of coordination failure as a game between economic agents, such as, for example, firms investing in research and development and workers investing in human capital. Rates of return on research and development depend on average human capital, and rates of return on human capital depend on aggregate research and development spending. The outcome is a self-confirming equilibrium in evolutionary stable strategies in which unsuccessful players imitate successful ones. This equilibrium is particularly interesting in that in poor economies with a large fraction of low-human-capital workers or low research and development firms, imitative strategies do not support a take-off into sustained growth. To achieve such a take-off, society should subsidize the cost of education or research and development until the economy builds a critical mass of human capital or research and development.


Advances in Dynamic Games

Advances in Dynamic Games

Author: Michèle Breton

Publisher: Springer Science & Business Media

Published: 2010-11-18

Total Pages: 581

ISBN-13: 0817680896

DOWNLOAD EBOOK

This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. The selected contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 13th International Symposium of Dynamic Games and Applications held in Wrocław. The book covers a variety of topics, ranging from theoretical developments in game theory and algorithmic methods to applications, examples, and analysis in fields as varied as environmental management, finance and economics, engineering, guidance and control, and social interaction.


The Evolution of Cooperation

The Evolution of Cooperation

Author: Robert Axelrod

Publisher: Basic Books

Published: 2009-04-29

Total Pages: 258

ISBN-13: 0786734884

DOWNLOAD EBOOK

A famed political scientist's classic argument for a more cooperative world We assume that, in a world ruled by natural selection, selfishness pays. So why cooperate? In The Evolution of Cooperation, political scientist Robert Axelrod seeks to answer this question. In 1980, he organized the famed Computer Prisoners Dilemma Tournament, which sought to find the optimal strategy for survival in a particular game. Over and over, the simplest strategy, a cooperative program called Tit for Tat, shut out the competition. In other words, cooperation, not unfettered competition, turns out to be our best chance for survival. A vital book for leaders and decision makers, The Evolution of Cooperation reveals how cooperative principles help us think better about everything from military strategy, to political elections, to family dynamics.


Games and Dynamics in Economics

Games and Dynamics in Economics

Author: Ferenc Szidarovszky

Publisher: Springer Nature

Published: 2020-04-11

Total Pages: 303

ISBN-13: 9811536236

DOWNLOAD EBOOK

This book focuses on the latest advances in nonlinear dynamic modeling in economics and finance, mainly—but not solely—based on the description of strategic interaction by using concepts and methods from dynamic and evolutionary game theory. The respective chapters cover a range of theoretical issues and examples concerning how the qualitative theory of dynamical systems is used to analyze the local and global bifurcations that characterize complex behaviors observed in social systems where heterogeneous and boundedly rational economic agents interact. Nonlinear dynamical systems, represented by difference and differential and functional equations, are extensively used to simulate the behavior of time-evolving economic systems, also in the presence of time lags, discontinuities, and hysteresis phenomena. In addition, some theoretical issues and particular applications are discussed, as well. The contributions gathered here offer an up-to-date review of the latest research in this rapidly developing research area.


Global Analysis of Dynamic Models in Economics and Finance

Global Analysis of Dynamic Models in Economics and Finance

Author: Gian Italo Bischi

Publisher: Springer Science & Business Media

Published: 2012-08-07

Total Pages: 449

ISBN-13: 3642295037

DOWNLOAD EBOOK

The essays in this special volume survey some of the most recent advances in the global analysis of dynamic models for economics, finance and the social sciences. They deal in particular with a range of topics from mathematical methods as well as numerous applications including recent developments on asset pricing, heterogeneous beliefs, global bifurcations in complementarity games, international subsidy games and issues in economic geography. A number of stochastic dynamic models are also analysed. The book is a collection of essays in honour of the 60th birthday of Laura Gardini.​