J. Hofbauer

发表

ON THE GLOBAL CONVERGENCE OF STOCHASTIC FICTITIOUS PLAY

William H. Sandholm, J. Hofbauer, W. Sandholm, 2002 .

The adaptive advantage of phenotypic memory in changing environments.

J. Hofbauer, E. Jablonka, B. Oborny, 1995, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

Evolutionary dynamics for bimatrix games: A Hamiltonian system?

J. Hofbauer, 1996, Journal of mathematical biology.

Evolutionary game dynamics

J. Hofbauer, K. Sigmund, 2011 .

Evolutionary Selection against dominated strategies

J. Weibull, J. Hofbauer, 1996 .

Dynamical Systems Under Constant Organization II: Homogeneous Growth Functions of Degree $p = 2$

P. Schuster, J. Hofbauer, K. Sigmund, 1980 .

Evolutionary Games and Population Dynamics

Josef Hofbauer, Karl Sigmund, J. Hofbauer, 1998 .

Convergence of multilocus systems under weak epistasis or weak selection

J. Hofbauer, P. Brunovský, T. Nagylaki, 1999, Journal of mathematical biology.

From Nash and Brown to Maynard Smith: Equilibria, Dynamics and ESS

J. Hofbauer, 2001 .

Volunteering as Red Queen Mechanism for Cooperation in Public Goods Games

C. Hauert, J. Hofbauer, K. Sigmund, 2002, Science.

Adaptive dynamics and evolutionary stability

J. Hofbauer, K. Sigmund, 1990 .

Stability of the replicator equation for a single species with a multi-dimensional continuous trait space.

J. Hofbauer, R. Cressman, F. Riedel, 2006, Journal of theoretical biology.

Measure dynamics on a one-dimensional continuous trait space: theoretical foundations for adaptive dynamics.

J. Hofbauer, R. Cressman, 2005, Theoretical population biology.

Time averages, recurrence and transience in the stochastic replicator dynamics

J. Hofbauer, L. Imhof, 2009, 0908.4467.

Stochastic Approximations and Differential Inclusions

Josef Hofbauer, Sylvain Sorin, Michel Benaïm, 2005, SIAM J. Control. Optim..

BEST RESPONSE DYNAMICS FOR CONTINUOUS ZERO{SUM GAMES

J. Hofbauer, S. Sorin, 2005 .

Selfregulation of behaviour in animal societies

P. Schuster, J. Hofbauer, K. Sigmund, 1981, Biological Cybernetics.

Replicator dynamics for optional public good games.

C. Hauert, J. Hofbauer, K. Sigmund, 2002, Journal of theoretical biology.

Refined Best-Response Correspondence and Dynamics

J. Hofbauer, D. Balkenborg, Christoph Kuzmics, 2009 .

The theory of evolution and dynamical systems

Josef Hofbauer, J. Hofbauer, 1988 .

Survival of dominated strategies under evolutionary dynamics

William H. Sandholm, J. Hofbauer, W. Sandholm, 2011 .

Evolutionary Games and Population Dynamics: Introduction for biologists

J. Hofbauer, K. Sigmund, 1998 .

TO PERSIST OR NOT TO PERSIST — DIFFERENTIAL EQUATIONS IN ECOLOGY

J. Hofbauer, 2006 .

A general cooperation theorem for hypercycles

Josef Hofbauer, J. Hofbauer, 1981 .

Heteroclinic cycles in ecological differential equations

Josef Hofbauer, J. Hofbauer, 1994 .

The selection mutation equation

J. Hofbauer, 1985, Journal of mathematical biology.

Deterministic Evolutionary Game Dynamics

J. Hofbauer, 2011 .

CONTINUOUS-TIME EVOLUTIONARY DYNAMICS : THEORY & PRACTICE

J. Hofbauer, 2000 .

Feasibility of communication in binary signaling games.

Josef Hofbauer, Simon M. Huttegger, J. Hofbauer, 2008, Journal of theoretical biology.

A generalized model of the repressilator

Stefanie Widder, Josef Hofbauer, Lukas Endler, 2006, Journal of mathematical biology.

Robust permanence for interacting structured populations

Sebastian J. Schreiber, Josef Hofbauer, S. Schreiber, 2010, 1005.4146.

On the stabilizing effect of predators and competitors on ecological communities

K. Sigmund, J. Hofbauer, K. Sigmund, 1989, Journal of mathematical biology.

Evolution and Learning in Games with Randomly Disturbed Payoffs

Josef Hofbauer, William H. Sandholm, J. Hofbauer, 2001 .

Travelling waves for games in economics and biology

Josef Hofbauer, G. T. Vickers, J. Hofbauer, 1997 .

Explorer Learning in Perturbed Asymmetric Games

J. Hofbauer, 2004 .

Planar S-systems: Global stability and the center problem

J. Hofbauer, G. Regensburger, S. Muller, 2017, Discrete and Continuous Dynamical Systems. Series A.

Global stability in diallelic migration–selection models

J. Hofbauer, Linlin Su, 2015 .

Preface: Special Issue in Honor of the 60th Birthday of Sylvain Sorin

J. Hofbauer, R. Laraki, Jérôme Renault, 2014 .

Evolutionary dynamics in the two-locus two-allele model with weak selection

J. Hofbauer, R. Bürger, Martin Pontz, 2017, Journal of Mathematical Biology.

Uncoupled Dynamics Do Not Lead to Nash Equilibrium

J. Hofbauer, Josef Hofbauer, 2003 .

Perfect foresight dynamics in binary supermodular games

J. Hofbauer, Satoru Takahashi, Daisuke Oyama, 2011 .

Equilibrium Selection in Binary Supermodular Games under Perfect Foresight Dynamics

J. Hofbauer, Satoru Takahashi, Daisuke Oyama, 2009 .

The Refined Best Reply Correspondence and Backward Induction

J. Hofbauer, D. Balkenborg, Christoph Kuzmics, 2019, German Economic Review.

The Refined Best Reply Correspondence and Backward Induction

J. Hofbauer, D. Balkenborg, Christoph Kuzmics, 2016, German Economic Review.

Chain recurrence and discretisation

J. Hofbauer, B. Garay, 1997, Bulletin of the Australian Mathematical Society.

Fictitious Play, Shapley Polygons and the Replicator Equation

J. Hofbauer, Andrea Gaunersdorfer, 1995 .

Game theory and evolutionary ecology Evolutionary Games & Population Dynamics

K Sigmund, J Hofbauer, J. Hofbauer, 2022 .

Equilibrium Selection Via Travelling Waves

J. Hofbauer, 1998 .

Qualitative permanence of Lotka–Volterra equations

J. Hofbauer, R. Kon, Yasuhisa Saito, 2008, Journal of mathematical biology.

Mathematical Biology Qualitative permanence of Lotka – Volterra equations

J. Hofbauer, R. Kon, Yasuhisa Saito, 2008 .

Excess payoff dynamics in games

J. Hofbauer, Carlos Alós-Ferrer, 2022, Journal of Economic Theory.

A unified approach to persistence

J. Hofbauer, 1989 .

Competition and cooperation in catalytic selfreplication

Josef Hofbauer, Peter Schuster, Karl Sigmund, 1981 .

To persist or not to persist

S. Schreiber, J. Hofbauer, 2004 .

Genetic Recombination as a Chemical Reaction Network

J. Hofbauer, Stefan Muller, 2015, 1503.01155.

Oscillations in Planar Deficiency-One Mass-Action Systems

J. Hofbauer, B. Boros, 2021, Journal of Dynamics and Differential Equations.

Brown–von Neumann–Nash dynamics: The continuous strategy case

J. Hofbauer, J. Oechssler, F. Riedel, 2009 .

Adding species to chemical reaction networks: Preserving rank preserves nondegenerate behaviours

J. Hofbauer, M. Banaji, B. Boros, 2021, Appl. Math. Comput..

The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation

J. Hofbauer, M. Banaji, B. Boros, 2022, 2210.06119.

Some minimal bimolecular mass-action systems with limit cycles

J. Hofbauer, B. Boros, 2022, Nonlinear Analysis: Real World Applications.

Inferring Cellular Networks Using Probabilistic Graphical Models

Martin A. Nowak, Josef Hofbauer, Karl Sigmund, 2004 .

The refined best-response correspondence in normal form games

J. Hofbauer, D. Balkenborg, Christoph Kuzmics, 2014, International Journal of Game Theory.

Continuous selection dynamics

Josef Hofbauer, Karl Sigmund, J. Hofbauer, 1998 .

Equilibrium selection via replicator dynamics in 2 × 2 coordination games

J. Hofbauer, Boyu Zhang, 2015 .

Diagonal dominance and harmless off-diagonal delays

Josef Hofbauer, Joseph W.-H. So, J. Hofbauer, 2000 .

Game Dynamics and Replicator Equations

Josef Hofbauer, Karl Sigmund, J. Hofbauer, 1998 .

Evolutionary dynamics in the two-locus two-allele model with weak selection

J. Hofbauer, R. Bürger, Martin Pontz, 2017, Journal of mathematical biology.

Stochastic Approximations and Differential Inclusions II: Applications

Josef Hofbauer, Sylvain Sorin, Michel Benaïm, 2005 .

Exponential chains as models for growth processes

J. Hofbauer, M. Peschel, W. Mende, 1985 .

Aq-analog of the Lagrange expansion

J. Hofbauer, 1984 .

Limit cycles in mass-conserving deficiency-one mass-action systems

J. Hofbauer, B. Boros, 2022, Electronic Journal of Qualitative Theory of Differential Equations.

Electronic Journal of Qualitative Theory of Differential Equations

J. Hofbauer, B. Boros, 2022 .

Selfregulation of behaviour in animal societies

Josef Hofbauer, Peter Schuster, Karl Sigmund, 1981, Biological Cybernetics.

Gradients Versus Cycling in Genetic Selection Models

J. Hofbauer, 1985 .

Global Stability of Spatially Homogeneous Equilibria in Migration-Selection Models

Josef Hofbauer, Linlin Su, J. Hofbauer, 2016, SIAM J. Appl. Math..

Stable games and their dynamics

Josef Hofbauer, William H. Sandholm, J. Hofbauer, 2009, J. Econ. Theory.

Brown-Von Neumann-Nash Dynamics: The Continuous Strategy Case

Josef Hofbauer, Jörg Oechssler, Frank Riedel, 2007, Games Econ. Behav..

Evolution in games with randomly disturbed payoffs

Josef Hofbauer, William H. Sandholm, J. Hofbauer, 2007, J. Econ. Theory.

Continuous and Global Stability in Innovative Evolutionary Dynamics

J. Hofbauer, Jörg Oechssler, 2003 .

A differential Game Approach to Evolutionary Equilibrium Selection

Josef Hofbauer, Gerhard Sorger, J. Hofbauer, 2002, IGTR.

Competitive Exclusion of Disjoint Hypercycles

J. Hofbauer, 2002 .

Sophisticated imitation in cyclic games

Josef Hofbauer, Karl H. Schlag, J. Hofbauer, 2000 .

Diagonal Dominance and Harmless O-Diagonal Delays 1

J. Hofbauer, 2000 .

Perfect Foresight and Equilibrium Selection in Symmetric Potential Games

Josef Hofbauer, Gerhard Sorger, J. Hofbauer, 1998 .

Evolutionary stability in strategic models of single-locus frequency-dependent viability selection

Josef Hofbauer, Ross Cressman, W. G. S. Hines, 1996 .

Multiple limit cycles for three dimensional Lotka-Volterra equations

Josef Hofbauer, J. Hofbauer, J. So, 1994 .

Stable periodic solutions for the hypercycle system

J. Hofbauer, J. Mallet-Paret, H. Smith, 1991 .

On the dynamics of asymmetric games

Josef Hofbauer, Karl Sigmund, Andrea Gaunersdorfer, 1991 .

Uniform persistence and repellors for maps

Josef Hofbauer, Joseph W.-H. So, J. Hofbauer, 1989 .

Coexistence for systems governed by difference equations of Lotka-Volterra type

J. Hofbauer, V. Hutson, W. Jansen, 1987, Journal of mathematical biology.

Permanence for Replicator Equations

Josef Hofbauer, Karl Sigmund, J. Hofbauer, 1987 .

On the occurrence of limit cycles in the Volterra-Lotka equation

Josef Hofbauer, J. Hofbauer, 1981 .

On the Bijectivity of Families of Exponential/Generalized Polynomial Maps

Josef Hofbauer, Stefan Müller, Georg Regensburger, 2018, SIAM J. Appl. Algebra Geom..

Game dynamics in mendelian populations

Josef Hofbauer, Peter Schuster, Karl Sigmund, 1982, Biological Cybernetics.

A note on evolutionary stable strategies and game dynamics.

K Sigmund, P Schuster, J Hofbauer, 1979, Journal of theoretical biology.

Mutation load and mutation-selection-balance in quantitative genetic traits

J. Hofbauer, R. Bürger, 1994, Journal of mathematical biology.

q-Catalan Numbers

J. Hofbauer, J. Fürlinger, 1985, J. Comb. Theory, Ser. A.

Quantal response methods for equilibrium selection in 2 × 2 coordination games

Josef Hofbauer, Boyu Zhang, J. Hofbauer, 2016, Games Econ. Behav..

Robust permanence and impermanence for stochastic replicator dynamics

Josef Hofbauer, Michel Benaïm, M. Benaïm, 2008, Journal of biological dynamics.

Robust Permanence and Impermanence for the Stochastic Replicator Dynamic

Josef Hofbauer, J. Hofbauer, 2007 .

A DIFFERENCE EQUATION MODEL FOR THE HYPERCYCLE

J. Hofbauer, 1984 .

A Hopf bifurcation theorem for difference equations approximating a differential equation

Josef Hofbauer, J. Hofbauer, G. Iooss, 1984 .

Recurrence of the unfit

Josef Hofbauer, Ethan Akin, J. Hofbauer, 1982 .

III. Games between Two Populations with Selfinteraction

Josef Hofbauer, Peter Schuster, Karl Sigmund, 1981 .

A short proof of the Lagrange-Good formula

Josef Hofbauer, J. Hofbauer, 1979, Discret. Math..

Stable Population Games and Integrability for Evolutionary Dynamics∗

Josef Hofbauer, William H. Sandholm, J. Hofbauer, 2008 .

Stable Games

Josef Hofbauer, William H. Sandholm, J. Hofbauer, 2007, 2007 46th IEEE Conference on Decision and Control.

Evolutionary stability concepts for N-species frequency-dependent interactions.

J Hofbauer, J. Hofbauer, R. Cressman, 2001, Journal of theoretical biology.

Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory

Josef Hofbauer, Sylvain Sorin, Michel Benaïm, 2012, Dyn. Games Appl..

Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory

M. Benaïm, J. Hofbauer, S. Sorin, 2012, Dynamic Games and Applications.

Time Average Replicator and Best-Reply Dynamics

Josef Hofbauer, Sylvain Sorin, Yannick Viossat, 2009, Math. Oper. Res..

The "battle of the sexes": a genetic model with limit cycle behavior.

J Hofbauer, J. Hofbauer, J. M. Smith, 1987, Theoretical population biology.

The theory of evolution and dynamic systems mathematical aspects of selection

K Sigmund, J Hofbauer, J. Hofbauer, 1984 .

Dynamics of Linear and Nonlinear Autocatalysis and Competition

Josef Hofbauer, Peter Schuster, P. Schuster, 1984 .

Permanence via invasion graphs: incorporating community assembly into modern coexistence theory

S. Schreiber, J. Hofbauer, 2022, Journal of Mathematical Biology.

Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class

Josef Hofbauer, Bal'azs Boros, J. Hofbauer, 2019, SIAM J. Appl. Dyn. Syst..

Irrational behavior in the Brown-von Neumann-Nash dynamics

Josef Hofbauer, Ulrich Berger, J. Hofbauer, 2006, Games Econ. Behav..

Refined best reply correspondence and dynamics

Josef Hofbauer, Dieter Balkenborg, Christoph Kuzmics, 2013 .

The spatially dominant equilibrium of a game

Josef Hofbauer, J. Hofbauer, 1999, Ann. Oper. Res..

Multiple limit cycles for predator-prey models.

J Hofbauer, J. Hofbauer, J. So, 1990, Mathematical biosciences.

Learning in games with unstable equilibria

Josef Hofbauer, Michel Benaïm, Ed Hopkins, 2005, J. Econ. Theory.

Discussion Paper Series Number 135 Learning in Games with Unstable Equilibria

M. Benaïm, J. Hofbauer, 2015 .

Explorer Learning in Games with Unstable Equilibria

M. Benaïm, J. Hofbauer, 2008 .

The refined best-response correspondence in normal form games

Josef Hofbauer, Dieter Balkenborg, Christoph Kuzmics, 2015, Int. J. Game Theory.

best-response correspondence in normal form games

J. Hofbauer, D. Balkenborg, Christoph Kuzmics, 2012 .

best reply correspondence and dynamics

Josef Hofbauer, Dieter Balkenborg, Christoph Kuzmics, 2011 .

The refined best-response correspondence and backward induction

J. Hofbauer, D. Balkenborg, Christoph Kuzmics, 2009 .

A Simple Proof of 1 + 1/22 + 1/32 + ⋯ = π2/6 and Related Identities

Josef Hofbauer, J. Hofbauer, 2002, Am. Math. Mon..

Innovation Diffusion in Heterogeneous Populations: Contagion, Social Influence, and Social Learning

David P. Myatt, H. Young, J. Hofbauer, 2009 .

Equilibrium selection via replicator dynamics in $$2 \times 2$$2×2 coordination games

Josef Hofbauer, Boyu Zhang, J. Hofbauer, 2015, Int. J. Game Theory.

Learning in perturbed asymmetric games

Josef Hofbauer, Ed Hopkins, J. Hofbauer, 2005, Games Econ. Behav..

Selection-Mutation Dynamics of Signaling Games

Josef Hofbauer, Simon M. Huttegger, J. Hofbauer, 2015, Games.

Discretized best-response dynamics for the Rock-Paper-Scissors game

Josef Hofbauer, Peter Bednarik, J. Hofbauer, 2016 .

Stochastic Approximations and Differential Inclusions, Part II: Applications

Josef Hofbauer, Sylvain Sorin, Michel Benaïm, 2006, Math. Oper. Res..

Intermingled basins in a two species system

J. Hofbauer, F. Hofbauer, P. Raith, 2004, Journal of mathematical biology.

An index theorem for dissipative semiflows

Josef Hofbauer, J. Hofbauer, 1990 .

Robust Permanence for Ecological Differential Equations, Minimax, and Discretizations

Josef Hofbauer, Barnabas M. Garay, J. Hofbauer, 2003, SIAM J. Math. Anal..

Stability and Fluctuations in Complex Ecological Systems

S. Schreiber, J. Hofbauer, A. Hastings, 2023, 2306.07447.

Planar S-systems: Permanence

J. Hofbauer, B. Boros, 2018, Journal of Differential Equations.

The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics

Josef Hofbauer, Georg Regensburger, Stefan Müller, 2017, Qualitative Theory of Dynamical Systems.

On Global Stability of the Lotka Reactions with Generalized Mass-Action Kinetics

Josef Hofbauer, Stefan Müller, J. Hofbauer, 2016, Acta Applicandae Mathematicae.