Game Equilibrium Models I: Evolution and Game Dynamics

ISBN-13: 9783642081088 / Angielski / Miękka / 2010 / 330 str.

Reinhard Selten; I. Eshel; J. W. Friedman

Opis

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.

Spis treści

to the Series “Game Equilibrium Models”.- to Volume I: “Evolution and Game Dynamics”.- Game Theory and Population Dynamics in Complex Genetical Systems: The Role of Sex in Short Term and in Long Term Evolution.- Evolutionary Stability and Dynamic Stability in a Class of Evolutionary Normal Form Games.- Anticipatory Learning in Two-Person Games.- The Origin of Isogamous Sexual Differentiation.- The Evolutionary Stability of Bluffing in a Class of Extensive Form Games.- Pollinator Foraging and Flower Competition in a Game Equilibrium Model.- To Trade, or Not to Trade; That Is the Question.- Competition Avoidance in a Dragonfly Mating System.- On the Evolution of Group-Based Altruism.

O autorze

Prof. em. Dr. Dr. h.c. mult. Reinhard Selten was born in Breslau at October 5, 1930. Reinhard Selten finished highschool in 1950 at Melsungen and then began to study mathematics at Frankfurt a. M.. Reinhard Selten received his Ph. D. in 1961 at Frankfurt a. M. His Ph. D. thesis was on valuation of n-person games. Reinhard Selten spent one academic year in 1967-1968 at the University of California, Berkeley, as a Visiting Full Professor. Since 1969 until 1996 Reinhard Selten taught economic theory first at the Free University of Berlin, then at the University of Bielefeld and finally at the University of Bonn. Together with John Harsanyi and John F. Nash Reinhard Selten received in 1994 the Alfred Nobel Memorial Prize. The price was awarded for foundational work in gamee theory. During his stay at Bonn he founded the first computerized laboratory in Europe. He received 11 honorary doctorates from universities in Germany, France, Great Britain, the United States and China. In 2005 he became the leader of the workinggroup "Rationality in the Light of Experimental Economics" of the Northrhine-Westfalian Academy of Sciences and Arts at the University of Bonn. He resigned from this position in September 2014 and finished working for this group at Oktober 2014. Since then he works in his home. He was married with his first wife from 1959 until her death at March 2014. He married again in September 2014.