English

The analysis of the stochastic stability for an economic game

Dynamical Systems 2009-09-08 v1

Abstract

In this paper we investigate a stochastic model for an economic game. To describe this model we have used a Wiener process, as the noise has a stabilization effect. The dynamics are studied in terms of stochastic stability in the stationary state, by constructing the Lyapunov exponent, depending on the parameters that describe the model. Also, the Lyapunov function is determined in order to analyze the mean square stability. The numerical simulation that we did justifies the theoretical results.

Keywords

Cite

@article{arxiv.0909.1169,
  title  = {The analysis of the stochastic stability for an economic game},
  author = {A. L. Ciurdariu and M. Neamtu and A. Sandru and D. Opris},
  journal= {arXiv preprint arXiv:0909.1169},
  year   = {2009}
}

Comments

16 pages, 8 figures