Higher order game dynamics

[1]  J. Nash NON-COOPERATIVE GAMES , 1951, Classics in Game Theory.

[2]  P. Taylor,et al.  Evolutionarily Stable Strategies and Game Dynamics , 1978 .

[3]  L. Fraenkel Formulae for high derivatives of composite functions , 1978, Mathematical Proceedings of the Cambridge Philosophical Society.

[4]  Michael J. Smith,et al.  The Stability of a Dynamic Model of Traffic Assignment - An Application of a Method of Lyapunov , 1984, Transp. Sci..

[5]  J. J. Sakurai,et al.  Modern Quantum Mechanics , 1986 .

[6]  E. Damme Stability and perfection of Nash equilibria , 1987 .

[7]  Josef Hofbauer,et al.  The theory of evolution and dynamical systems , 1988 .

[8]  D. Saunders The Geometry of Jet Bundles , 1989 .

[9]  Klaus Ritzberger,et al.  the nash field , 1990 .

[10]  D. Fudenberg,et al.  Rational Behavior with Payoff Uncertainty , 1990 .

[11]  I. Gilboa,et al.  Social Stability and Equilibrium , 1991 .

[12]  D. Fudenberg,et al.  Evolutionary Dynamics with Aggregate Shocks , 1992 .

[13]  L. Samuelson,et al.  Evolutionary Stability in Asymmetric Games , 1992 .

[14]  J. Weibull,et al.  Nash Equilibrium and Evolution by Imitation , 1994 .

[15]  Jörgen W. Weibull,et al.  Evolutionary Game Theory , 1996 .

[16]  J. Weibull,et al.  Evolutionary Selection in Normal-Form Games , 1995 .

[17]  J. Weibull,et al.  Evolutionary Selection against dominated strategies , 1996 .

[18]  J. Hofbauer Evolutionary dynamics for bimatrix games: A Hamiltonian system? , 1996, Journal of mathematical biology.

[19]  Anna Nagurney,et al.  Projected Dynamical Systems in the Formulation, Stability Analysis, and Computation of Fixed-Demand Traffic Network Equilibria , 1997, Transp. Sci..

[20]  D. Fudenberg,et al.  The Theory of Learning in Games , 1998 .

[21]  A. Rustichini Optimal Properties of Stimulus-Response Learning Models* , 1999 .

[22]  Cyrus D. Cantrell,et al.  Modern Mathematical Methods for Physicists and Engineers , 2000 .

[23]  Felipe Alvarez,et al.  On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces , 2000, SIAM J. Control. Optim..

[24]  H. Attouch,et al.  THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM , 2000 .

[25]  J. Bolte,et al.  A second-order gradient-like dissipative dynamical system with Hessian-driven damping.: Application to optimization and mechanics , 2002 .

[26]  John M. Lee Introduction to Smooth Manifolds , 2002 .

[27]  J. Hofbauer,et al.  Uncoupled Dynamics Do Not Lead to Nash Equilibrium , 2003 .

[28]  Sjur Didrik Flåm,et al.  Newtonian mechanics and Nash Play , 2004, IGTR.

[29]  Jeff S. Shamma,et al.  Dynamic fictitious play, dynamic gradient play, and distributed convergence to Nash equilibria , 2005, IEEE Transactions on Automatic Control.

[30]  Paul W. Goldberg,et al.  The complexity of computing a Nash equilibrium , 2006, STOC '06.

[31]  William H. Sandholm,et al.  The projection dynamic and the replicator dynamic , 2008, Games Econ. Behav..

[32]  Sylvain Sorin,et al.  Exponential weight algorithm in continuous time , 2008, Math. Program..

[33]  William H. Sandholm,et al.  Large population potential games , 2009, J. Econ. Theory.

[34]  Josef Hofbauer,et al.  Stable games and their dynamics , 2009, J. Econ. Theory.

[35]  Josef Hofbauer,et al.  Time Average Replicator and Best-Reply Dynamics , 2009, Math. Oper. Res..

[36]  Aris L. Moustakas,et al.  The emergence of rational behavior in the presence of stochastic perturbations , 2009, 0906.2094.

[37]  William H. Sandholm,et al.  Population Games And Evolutionary Dynamics , 2010, Economic learning and social evolution.

[38]  William H. Sandholm,et al.  Survival of dominated strategies under evolutionary dynamics , 2011 .

[39]  Yannick Viossat Deterministic monotone dynamics and dominated strategies , 2011, 1110.6246.

[40]  J. Hofbauer,et al.  Refined Best-Response Correspondence and Dynamics , 2009 .