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The Kullback-Liebler Divergence as a Lyapunov Function for Incentive Based Game Dynamics
The Kullback-Liebler Divergence Lyapunov Function Incentive Game Dynamics Dynamical Systems
2012/7/9
It has been shown that the Kullback-Leibler divergence is a Lyapunov function for the replicator equations at evolutionary stable states, or ESS. In this paper we extend the result to a more general c...
Emergence of grouping in multi-resource minority game dynamics
Emergence of grouping multi-resource minority game dynamics Adaptation and Self-Organizing Systems
2012/4/26
TheMinority Game (MG) has become a paradigm to probe complex social and economical phenomena where adaptive agents compete for a limited resource, and it finds applications in statistical and nonlinea...
Mixing times in evolutionary game dynamics
Mixing times evolutionary game dynamics Populations and Evolution
2012/4/28
Without mutation and migration, evolutionary dynamics ultimately leads to the extinction of all but one species. Such fixation processes are well understood and can be characterized analytically with ...