WorldCat Identities

Hofbauer, Josef 1956-

Overview
Works: 47 works in 144 publications in 3 languages and 1,254 library holdings
Genres: Biography  Fiction  Maps  History 
Roles: Author, Other
Publication Timeline
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Most widely held works by Josef Hofbauer
Evolutionary games and population dynamics by Josef Hofbauer( Book )

32 editions published between 1998 and 2010 in English and held by 532 WorldCat member libraries worldwide

Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms
The theory of evolution and dynamical systems : mathematical aspects of selection by Josef Hofbauer( Book )

22 editions published between 1988 and 1996 in English and held by 453 WorldCat member libraries worldwide

Evolutionstheorie und dynamische Systeme : mathematische Aspekte der Selektion by Josef Hofbauer( Book )

9 editions published in 1984 in German and held by 100 WorldCat member libraries worldwide

Der Marsch ins Chaos by Josef Hofbauer( Book )

9 editions published in 1930 in German and held by 37 WorldCat member libraries worldwide

Der grosse alte Mann : ein Masaryk-Buch by Josef Hofbauer( Book )

7 editions published in 1938 in German and held by 32 WorldCat member libraries worldwide

Die Grafschaft Neuburg am Inn by Josef Hofbauer( )

1 edition published in 1969 in German and held by 12 WorldCat member libraries worldwide

Die menschliche Placenta als Assimilationsorgan by Josef Hofbauer( Book )

4 editions published in 1907 in German and English and held by 11 WorldCat member libraries worldwide

Sophisticated imitation in cyclic games by Josef Hofbauer( Book )

3 editions published in 1998 in English and held by 9 WorldCat member libraries worldwide

Die Graviditätsveränderungen der Organe in klinischer Beleuchtung by Josef Hofbauer( Book )

2 editions published in 1910 in German and held by 8 WorldCat member libraries worldwide

Grundwasserkarte von Bayern 1:25 000 by W.-D Grimm( )

3 editions published in 1967 in German and English and held by 7 WorldCat member libraries worldwide

Evolutionary selection against dominated strategies by Josef Hofbauer( Book )

6 editions published in 1995 in English and held by 7 WorldCat member libraries worldwide

The theory of evolution and dynamical systems : mathematical aspects of selection by Josef Hofbauer( Book )

1 edition published in 1991 in English and held by 5 WorldCat member libraries worldwide

Brown-von Neumann-Nash dynamics : the continuous strategy case by Josef Hofbauer( Book )

1 edition published in 2005 in English and held by 4 WorldCat member libraries worldwide

Evolution and learning in games with randomly disturbed payoffs( )

2 editions published in 2001 in English and held by 2 WorldCat member libraries worldwide

Shinka gēmu to bibun hōteishiki( Book )

2 editions published in 2001 in Japanese and held by 2 WorldCat member libraries worldwide

Evolutionstheorie und dynamische Systeme mathematische Aspekte der Sektion by Josef Hofbauer( Book )

1 edition published in 1984 in German and held by 2 WorldCat member libraries worldwide

Brown-von Neumann-Nash dynamics : the continuous strategy case( )

2 editions published in 2005 in English and held by 2 WorldCat member libraries worldwide

In John Nash’s proofs for the existence of (Nash) equilibria based on Brouwer’s theorem, an iteration mapping is used. A continuoustime analogue of the same mapping has been studied even earlier by Brown and von Neumann. This differential equation has recently been suggested as a plausible boundedly rational learning process in games. In the current paper we study this Brownvon NeumannNash dynamics for the case of continuous strategy spaces. We show that for continuous payoff functions, the set of rest points of the dynamics coincides with the set of Nash equilibria of the underlying game. We also study the asymptotic stability properties of rest points. While strict Nash equilibria may be unstable, we identify sufficient conditions for local and global asymptotic stability which use concepts developed in evolutionary game theory
Seibutsu no shinka to bibun hōteishiki( Book )

2 editions published in 1990 in Japanese and held by 2 WorldCat member libraries worldwide

Die Grafschaft Neuburg am Inn by Josef Hofbauer( Book )

1 edition published in 1969 in German and held by 2 WorldCat member libraries worldwide

Concerning the etiology of hyperplasia of the endometrium by Josef Hofbauer( Book )

1 edition published in 1931 in English and held by 1 WorldCat member library worldwide

 
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Audience level: 0.67 (from 0.60 for The theory ... to 0.97 for Brown-von ...)

Evolutionary games and population dynamics
Covers
The theory of evolution and dynamical systems : mathematical aspects of selectionThe theory of evolution and dynamical systems : mathematical aspects of selection
Alternative Names
Hofbauer, J.

Hofbauer, Joseph 1956-

Josef Hofbauer Austrian mathematician

Josef Hofbauer matemático austríaco

Josef Hofbauer mathématicien autrichien

Josef Hofbauer wiskundige uit Oostenrijk

ホッフバウアー

ホッフバウアー, ジョセフ

Languages
English (72)

German (35)

Japanese (4)