Robust Permanence and Impermanence for the Stochastic Replicator Dynamic

@inproceedings{Hofbauer2007RobustPA,
  title={Robust Permanence and Impermanence for the Stochastic Replicator Dynamic},
  author={Josef Hofbauer},
  year={2007}
}
Garay and Hofbauer (2003) propose sufficient conditions for robust permanence and impermanence of the deterministic replicator dynamic. We reconsider these conditions in the context of the stochastic replicator dynamic, which is obtained from its deterministic analog by introducing Brownian perturbations of payoffs. When the deterministic replicator dynamic is permanent and the noise level small, the stochastic dynamic admits a unique ergodic distribution whose mass is concentrated near the… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 25 references

Stochastic Calculus: A Practical Introduction

R. Durrett
1996
View 3 Excerpts
Highly Influenced

Markov Chains and Stochastic Stability. Springer, Berlin, second edition (posted online)

S. P. Meyn, R. L. Tweedy
2005
View 2 Excerpts
Highly Influenced

Criteria for C r robust permanence

S. J. Schreiber
Journal of Differential Equations • 2000
View 4 Excerpts
Highly Influenced

Random Iterative Models

M. Duflo
1997
View 3 Excerpts
Highly Influenced

Dynamical systems under constant organization. III. Cooperative and competitive behavior of hypercycles

P. Schuster, K. Sigmund, R. Wolff
Journal of Differential Equations, • 1979
View 4 Excerpts
Highly Influenced

Similar Papers

Loading similar papers…