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Nonlinear Stochastic Dynamics For Supply Counterfeiting In Monopolistic Markets


  • Marco Corazza

    (University "Ca' Foscari" of Venice)

  • Marco Corazza

    (University "Ca' Foscari" of Venice)


Counterfeiting is a well known world-wide phenomenon afflicting several real economies. Notwithstanding the importance of this topic, there are not many works about it in the literatute; moreover, these contributions mainly deal with counterfeiting employing a model developed in a static time frame. In this paper we propose, by means of a system of first order nonlinear and stochastic difference equations, a discrete time dynamical model for a monopolistic market characterized by the presence of a supply counterfeiter. More precisely, we determine some theoretical results peculiar to such a dynamical system and relevant to its solution and its asymptotic behaviour. Nevertheless, because of the presence of nonlinearities and stochastics, these results are not able to fully characterize the proposed dynamical system; so, in order to fill this deficiency, we also carry out a numerical investigation with a Swarm-based code.

Suggested Citation

  • Marco Corazza & Marco Corazza, 2000. "Nonlinear Stochastic Dynamics For Supply Counterfeiting In Monopolistic Markets," Computing in Economics and Finance 2000 176, Society for Computational Economics.
  • Handle: RePEc:sce:scecf0:176

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    References listed on IDEAS

    1. Nelson Minar & Rogert Burkhart & Chris Langton & Manor Askenazi, 1996. "The Swarm Simulation System: A Toolkit for Building Multi-Agent Simulations," Working Papers 96-06-042, Santa Fe Institute.
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    3. Ordover, Janusz A & Saloner, Garth & Salop, Steven C, 1990. "Equilibrium Vertical Foreclosure," American Economic Review, American Economic Association, vol. 80(1), pages 127-142, March.
    4. Perry, Martin K., 1989. "Vertical integration: Determinants and effects," Handbook of Industrial Organization,in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 4, pages 183-255 Elsevier.
    5. Riyaz Sikora & Michael J. Shaw, 1998. "A Multi-Agent Framework for the Coordination and Integration of Information Systems," Management Science, INFORMS, vol. 44(11-Part-2), pages 65-78, November.
    6. Teece, David J., 1980. "Economies of scope and the scope of the enterprise," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 223-247, September.
    7. Joseph Farrell & Hunter K. Monroe & Garth Saloner, 1998. "The Vertical Organization of Industry: Systems Competition versus Component Competition," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 7(2), pages 143-182, June.
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