Game Equilibrium Models II
Title | Game Equilibrium Models II PDF eBook |
Author | Reinhard Selten |
Publisher | Springer Science & Business Media |
Total Pages | 377 |
Release | 2013-04-18 |
Genre | Business & Economics |
ISBN | 366207365X |
The four volumes of Game Equilibrium Models present applications of non-cooperative game theory. Problems of strategic interaction arising in biology, economics, political science and the social sciences in general are treated in 42 papers on a wide variety of subjects. Internationally known authors with backgrounds in various disciplines have contributed original research. The reader finds innovative modelling combined with advanced methods of analysis. The four volumes are the outcome of a research year at the Center for Interdisciplinary Studies of the University of Bielefeld. The close interaction of an international interdisciplinary group of researchers has produced an unusual collection of remarkable results of great interest for everybody who wants to be informed on the scope, potential, and future direction of work in applied game theory. Volume II Methods, Morals and Markets contains areas of research which will attract the interest of economists, political scientists, mathematicians and philosophers. The papers deal with the methodology of analysis of games, game theoretic contributions to fundamental ethical questions facing societies and game-theoretic analyses of market environments.
Game Equilibrium Models II
Title | Game Equilibrium Models II PDF eBook |
Author | Reinhard Selten |
Publisher | |
Total Pages | 384 |
Release | 2014-01-15 |
Genre | |
ISBN | 9783662073667 |
Game Equilibrium Models I
Title | Game Equilibrium Models I PDF eBook |
Author | Reinhard Selten |
Publisher | Springer Science & Business Media |
Total Pages | 338 |
Release | 2013-06-29 |
Genre | Mathematics |
ISBN | 3662026740 |
There are two main approaches towards the phenotypic analysis of frequency dependent natural selection. First, there is the approach of evolutionary game theory, which was introduced in 1973 by John Maynard Smith and George R. Price. In this theory, the dynamical process of natural selection is not modeled explicitly. Instead, the selective forces acting within a population are represented by a fitness function, which is then analysed according to the concept of an evolutionarily stable strategy or ESS. Later on, the static approach of evolutionary game theory has been complemented by a dynamic stability analysis of the replicator equations. Introduced by Peter D. Taylor and Leo B. Jonker in 1978, these equations specify a class of dynamical systems, which provide a simple dynamic description of a selection process. Usually, the investigation of the replicator dynamics centers around a stability analysis of their stationary solutions. Although evolutionary stability and dynamic stability both intend to characterize the long-term outcome of frequency dependent selection, these concepts differ considerably in the 'philosophies' on which they are based. It is therefore not too surprising that they often lead to quite different evolutionary predictions (see, e. g. , Weissing 1983). The present paper intends to illustrate the incongruities between the two approaches towards a phenotypic theory of natural selection. A detailed game theoretical and dynamical analysis is given for a generic class of evolutionary normal form games.
Game Equilibrium Models IV
Title | Game Equilibrium Models IV PDF eBook |
Author | Reinhard Selten |
Publisher | Springer Science & Business Media |
Total Pages | 372 |
Release | 2013-04-17 |
Genre | Political Science |
ISBN | 3662073692 |
The four volumes of Game Equilibrium Models present applications of non-cooperative game theory. Problems of strategic interaction arising in biology, economics, political science and the social sciences in general are treated in 42 papers on a wide variety of subjects. Internationally known authors with backgrounds in various disciplines have contributed original research. The reader finds innovative modelling combined with advanced methods of analysis. The four volumes are the outcome of a research year at the Center for Interdisciplinary Studies of the University of Bielefeld. The close interaction of an international interdisciplinary group of researchers has produced an unusual collection of remarkable results of great interest for everybody who wants to be informed on the scope, potential, and future direction of work in applied game theory. Volume IV Social and Political Interaction contains game equilibrium models focussing on social and political interaction within communities or states or between states, i.e. national and international social and political interaction. Specific aspects of those interactions are modelled as non-cooperative games and their equilibria are analysed.
Evolutionary Games and Equilibrium Selection
Title | Evolutionary Games and Equilibrium Selection PDF eBook |
Author | Larry Samuelson |
Publisher | MIT Press |
Total Pages | 332 |
Release | 1997 |
Genre | Business & Economics |
ISBN | 9780262692199 |
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.
Game Equilibrium Models
Title | Game Equilibrium Models PDF eBook |
Author | Reinhard Selten |
Publisher | |
Total Pages | |
Release | |
Genre | |
ISBN |
Game Equilibrium Models III
Title | Game Equilibrium Models III PDF eBook |
Author | Reinhard Selten |
Publisher | Springer Science & Business Media |
Total Pages | 292 |
Release | 2013-03-09 |
Genre | Business & Economics |
ISBN | 3662073676 |
The four volumes of Game Equilibrium Models present applications of non-cooperative game theory. Problems of strategic interaction arising in biology, economics, political science and the social sciences in general are treated in 42 papers on a wide variety of subjects. Internationally known authors with backgrounds in various disciplines have contributed original research. The reader finds innovative modelling combined with advanced methods of analysis. The four volumes are the outcome of a research year at the Center for Interdisciplinary Studies of the University of Bielefeld. The close interaction of an international interdisciplinary group of researchers has produced an unusual collection of remarkable results of great interest for everybody who wants to be informed on the scope, potential, and future direction of work in applied game theory. Volume III Strategic Bargaining contains ten papers on game equilibrium models of bargaining. All these contributions look at bargaining situations as non-cooperative games. General models of two-person and n-person bargaining are explored.