What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Evolutionary games and population dynamics (3961 citations)
- The theory of evolution and dynamical systems (1351 citations)
- Evolutionary Game Dynamics (868 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical economics (40.76%)
- Applied mathematics (23.91%)
- Best response (16.30%)
What were the highlights of his more recent work (between 2013-2021)?
- Mathematical economics (40.76%)
- Stability (6.52%)
- Statistical physics (8.70%)
In recent papers he was focusing on the following fields of study:
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.
Between 2013 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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