Author:
Caravaggio Andrea,Cerboni Baiardi Lorenzo,Sodini Mauro
Abstract
AbstractIn this paper, we consider the nonlinear discrete-time dynamic model proposed by Bischi and Baiardi (Chaos Solitons Fractals 79:145-156, 2015a). The model considers players with adaptive adjustment mechanisms towards the best reply and a form of inertia in adopting such mechanism. Moreover, we formulate an extension of the original model, where endogenous market size is considered. Through numerical simulations, we show that multiple attractors may exist in the presence of homogeneous agents and the emergence of non-synchronized trajectories both in the short (on-off intermittency) and long (global riddling) run. Therefore, the article highlights that strategic contexts exist in which the players’ knowledge of the market and the adoption of the best reply do not always allow the use of the representative agent’s rhetoric to describe the dynamics of the model.
Funder
Università della Calabria
Publisher
Springer Science and Business Media LLC
Subject
General Economics, Econometrics and Finance,Finance
Reference49 articles.
1. Abraham, R., Mira, C., Gardini, L.: Chaos in Discrete Dynamical Systems. Springer, Berlin (1997)
2. Alexander, J., Yorke, J.A., You, Z., Kan, I.: Riddled basins. Int. J. Bifurc. Chaos 2(04), 795–813 (1992)
3. Aoki, M.: New Approaches to Macroeconomic Modeling: Evolutionary Stochastic Dynamics, Multiple Equilibria, and Externalities as Field Effects. Cambridge University Press, Cambridge (1998)
4. Ashwin, P., Buescu, J., Stewart, I.: From attractor to chaotic saddle: a tale of transverse instability. Nonlinearity 9(3), 703 (1996)
5. Basuroy, S., Nguyen, D.: Multinomial logit market share models: equilibrium characteristics and strategic implications. Manage. Sci. 44(10), 1396–1408 (1998)
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