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- Josef Hofbauer

Mathematics

Austria

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
56
Citations
21,088
144
World Ranking
512
National Ranking
9

2023 - Research.com Mathematics in Austria Leader Award

- Mathematical analysis
- Statistics
- Algebra

His scientific interests lie mostly in Mathematical economics, Game theory, Game dynamics, Dynamical systems theory and Statistical physics. His Mathematical economics research is multidisciplinary, relying on both Evolutionary dynamics and Lyapunov function. His biological study spans a wide range of topics, including Implementation theory, Strong reciprocity, Simulations and games in economics education and Artificial intelligence.

His study looks at the intersection of Implementation theory and topics like Evolutionary game theory with Public goods game. His Game theory study incorporates themes from Replicator equation and Stochastic game. His Equilibrium selection research includes themes of Normal-form game, Sequential game and Extensive-form game.

- Evolutionary games and population dynamics (3961 citations)
- The theory of evolution and dynamical systems (1351 citations)
- Evolutionary Game Dynamics (868 citations)

His primary areas of investigation include Mathematical economics, Applied mathematics, Best response, Nash equilibrium and Replicator equation. In general Mathematical economics, his work in Equilibrium selection, Game theory and Fictitious play is often linked to Dynamics linking many areas of study. His Equilibrium selection research is multidisciplinary, incorporating elements of Markov perfect equilibrium and Mathematical optimization.

His work carried out in the field of Applied mathematics brings together such families of science as Lyapunov function, Attractor, Limit and Stability. Josef Hofbauer interconnects Strategy, Stochastic game, Combinatorics and Stability theory in the investigation of issues within Best response. His work deals with themes such as Quadratic equation, Evolutionary game theory and Dynamics, which intersect with Replicator equation.

- Mathematical economics (40.76%)
- Applied mathematics (23.91%)
- Best response (16.30%)

- Mathematical economics (40.76%)
- Stability (6.52%)
- Statistical physics (8.70%)

His main research concerns Mathematical economics, Stability, Statistical physics, Applied mathematics and Kinetics. His Mathematical economics research is multidisciplinary, incorporating perspectives in Open set, Fixed point and Selection. His work in Statistical physics covers topics such as Population genetics which are related to areas like Genetic recombination, Evolutionary dynamics and Phase portrait.

His studies in Applied mathematics integrate themes in fields like Stability theory, Polynomial, Limit and Center. Josef Hofbauer has researched Kinetics in several fields, including Ode, Dynamical systems theory, Uniqueness and Center. His Nash equilibrium study integrates concerns from other disciplines, such as Replicator equation, Stochastic game, Equilibrium selection and Mutation.

- On Global Stability of the Lotka Reactions with Generalized Mass-Action Kinetics (13 citations)
- The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics. (12 citations)
- On the Bijectivity of Families of Exponential/Generalized Polynomial Maps (10 citations)

- Mathematical analysis
- Algebra
- Statistics

Josef Hofbauer mainly focuses on Nash equilibrium, Equilibrium selection, Mathematical economics, Statistical physics and Applied mathematics. He has included themes like Simplex, Replicator equation and Coordination game in his Nash equilibrium study. His work on Symmetric equilibrium and Correlated equilibrium as part of general Equilibrium selection research is frequently linked to Context, thereby connecting diverse disciplines of science.

Josef Hofbauer works in the field of Mathematical economics, focusing on Best response in particular. His Statistical physics study incorporates themes from Ode, Dynamical systems theory, Phase portrait and Kinetics. His biological study spans a wide range of topics, including Monomial, Descartes' rule of signs, Robustness and Exponential function.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Evolutionary games and population dynamics

Josef Hofbauer;Karl Sigmund.

**(1998)**

5992 Citations

Evolutionary games and population dynamics

Josef Hofbauer;Karl Sigmund.

**(1998)**

5992 Citations

The Theory of Evolution and Dynamical Systems: Mathematical Aspects of Selection

Josef Hofbauer;Karl Sigmund.

**(1988)**

2277 Citations

The Theory of Evolution and Dynamical Systems: Mathematical Aspects of Selection

Josef Hofbauer;Karl Sigmund.

**(1988)**

2277 Citations

The theory of evolution and dynamical systems

Josef Hofbauer.

**(1988)**

2190 Citations

The theory of evolution and dynamical systems

Josef Hofbauer.

**(1988)**

2190 Citations

Evolutionary Game Dynamics

Josef Hofbauer;Karl Sigmund;Karl Sigmund.

**(2011)**

1343 Citations

Evolutionary Game Dynamics

Josef Hofbauer;Karl Sigmund;Karl Sigmund.

**(2011)**

1343 Citations

Volunteering as Red Queen Mechanism for Cooperation in Public Goods Games

Christoph Hauert;Christoph Hauert;Silvia De Monte;Silvia De Monte;Josef Hofbauer;Karl Sigmund;Karl Sigmund.

Science **(2002)**

1046 Citations

Volunteering as Red Queen Mechanism for Cooperation in Public Goods Games

Christoph Hauert;Christoph Hauert;Silvia De Monte;Silvia De Monte;Josef Hofbauer;Karl Sigmund;Karl Sigmund.

Science **(2002)**

1046 Citations

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