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Synchronization and On-Off Intermittency Phenomena in a Market Model with Complementary Goods and Adaptive Expectations

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  • Bignami Fernando

    (Università Cattolica del Sacro Cuore)

  • Agliari Anna

    (Università Cattolica del Sacro Cuore)

Abstract

In this paper we point out some features of the dynamical models describing the interaction of two similar agents competing in a market. Such models are fitted by a two-dimensional map symmetric with respect to the diagonal, i.e., such that M(x,y)=M(y,x). In particular we shall consider a model describing the strategic behavior of two firms that produce complementary goods and have adaptive expectations.The aim of the paper is the analysis of the trajectories generated by the iteration of M starting from different initial conditions. In particular we are interested in two different problems arising in such a situation. First, we analyze the conditions that allow an agent to reach a favourable position (in terms of its profit) in the long run. Second we investigate the mechanisms that lead the agents to behave in the same way in the long run (synchronization) and the phenomena associated with these particular situations, such as the on-off intermittency.

Suggested Citation

  • Bignami Fernando & Agliari Anna, 2010. "Synchronization and On-Off Intermittency Phenomena in a Market Model with Complementary Goods and Adaptive Expectations," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(2), pages 1-31, March.
    • Handle: RePEc:bpj:sndecm:v:14:y:2010:i:2:n:5
    DOI: 10.2202/1558-3708.1696
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    References listed on IDEAS

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    1. Bischi, Gian Italo & Kopel, Michael, 2001. "Equilibrium selection in a nonlinear duopoly game with adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 73-100, September.
    2. Matsumoto, Akio & Nonaka, Yasuo, 2006. "Statistical dynamics in a chaotic Cournot model with complementary goods," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 769-783, December.
    3. Agliari, Anna & Gardini, Laura & Puu, Tönu, 2005. "Some global bifurcations related to the appearance of closed invariant curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(3), pages 201-219.
    4. Bischi, Gian-Italo & Stefanini, Luciano & Gardini, Laura, 1998. "Synchronization, intermittency and critical curves in a duopoly game," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 44(6), pages 559-585.
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    Cited by:

    1. Fanti, Luciano & Gori, Luca & Mammana, Cristiana & Michetti, Elisabetta, 2014. "Local and global dynamics in a duopoly with price competition and market share delegation," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 253-270.
    2. Luca Gori & Nicolò Pecora & Mauro Sodini, 2017. "Market share delegation in a nonlinear duopoly with quantity competition: the role of dynamic entry barriers," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 905-931, November.
    3. Fanti, Luciano & Gori, Luca & Mammana, Cristiana & Michetti, Elisabetta, 2013. "The dynamics of a Bertrand duopoly with differentiated products: Synchronization, intermittency and global dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 52(C), pages 73-86.

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