Abstract
We discuss a second order nonlinear stochastic difference equation which is constructed of a business cycle model with organized labor considered. A global asymptotic mean square stability criterion is obtained by Lyapunov function method. We also prove a theorem on the almost sure oscillation of the solutions for the difference equation with state-independent stochastic perturbations.
Acknowledgements
The first author thanks the Laboratoire Paul Painlevé UMR CNRS 8524, UFR de Mathématiques, Université Lille 1, where this paper is completed during his visit from September 2014 to September 2015.
Notes
No potential conflict of interest was reported by the authors.