Acknowledgement: I am indebted to Thorsten Pampel, George Vachadze, and Jan Wenzelburger for useful discussions and criticism. This research was part of the project “Endogene stochastische Konjunkturtheorie” supported in part by the Deutsche Forschungsgemeinschaft under grant BO 635/9-3.
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References
Arnold, L. (1998): Random Dynamical Systems. Springer-Verlag, Berlin.
Barnsley, M. (1988): Fractals Everywhere. Academic Press, New York.
Böhm, V. & J. Jungeilges (2004): “Estimating Affine Economic Models with Discrete Random Perturbations”, Discussion Paper 513, Department of Economics, University of Bielefeld.
Borovkov, A. A. (1998): Ergodicity and Stability of Stochastic Processes. John Wiley & Sons, New York.
Brandt, A. (1986): “The Stochastic Equation Y t+1 = A t Y t + B t with Stationary Coefficients”, Advances in Applied Probability, 18, 211–220.
Duffie, D., J. Geanakoplos, A. Mas-Colell & A. McLennan (1994): “Stationary Markov Equilibria”, Econometrica, 62(4), 745–781.
Hamilton, J. D. (1994): Time Series Analysis. Princeton University Press.
Hicks, J. (1950): A Contribution to the Theory of the Trade Cycle. Oxford University Press, Oxford.
Kesten, H. (1973): “Random Difference Equations and Renewal Theory for Products of Random Matrices”, Acta Math., 131, 207–248.
Lasota, A. & M. Mackey (1994): Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics, vol. 97 of Applied Mathematical Science. Springer-Verlag, New York.
Samuelson, P. A. (1939): “Interaction between the Multiplier Analysis and the Principle of Acceleration”, Review of Economics and Statistics, 21, 75–78.
Schmalfuβ, B. (1996): “A Random Fixed Point Theorem Based on Lyapunov Exponents”, Random and Computational Dynamics, 4(4), 257–268.
Schmalfuβ, B. (1998): “A Random Fixed Point Theorem and the Random Graph Transformation”, Journal of Mathematical Analysis and Application, 225(1), 91–113.
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Böhm, V. (2006). Multiplier-Accelerator Models with Random Perturbations. In: Puu, T., Sushko, I. (eds) Business Cycle Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32168-3_5
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