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E. I. Jury, “The Inners Approch to Some Problems of System Theory,” IEEE Transactions on Automatic Control, Vol. 16, No. 3, 1971, pp. 233-241. doi:10.1109/TAC.1971.1099725

has been cited by the following article:

• TITLE: Multi-Team Bertrand Game with Heterogeneous Players

  AUTHORS: Mohammed Fathy Elettreby, Daoud Suleiman Mashat, Ashraf Mobarez Zenkour

  KEYWORDS: Bertrand Game, Non-convex Dynamical Multi-team Game, Incomplete Information Dynamical System, Marginal Profit Method, Nash Equilibrium

  JOURNAL NAME: Applied Mathematics, Vol.2 No.9, September 19, 2011

  ABSTRACT: In this paper, we proposed a general form of a multi-team Bertrand game. Then, we studied a two-team Bertrand game, each team consists of two firms, with heterogeneous strategies among teams and homogeneous strategies among players. We find the equilibrium solutions and the conditions of their local stability. Numerical simulations were used to illustrate the complex behaviour of the proposed model, such as period doubling bifurcation and chaos. Finally, we used the feedback control method to control the model.