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| Stochastic Catastrophe Analysis of Strategic Alliances’ Coopetition Including Simulations
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| XU Yan,HU Bin |
| Huazhong University of Science and Technology, Wuhan, China |
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Abstract The evolution process of partners’ strategies in strategic alliances with multifirm was considered by evolutionary game theory perspective. A deterministic dynamical equation is developed, based on which, the Gaussian White noise is introduced to show the disturbance, and a stochastic dynamical equation is created. The catastrophe of strategic alliances that ranges cooperation to betrayal in the process is analyzed by means of stochastic catastrophe theory. The catastrophe set of control variables is found to explain and forecast the catastrophe of strategic alliances. To validate the correctness of the model, some numerical simulations are given in different scenarios, and it is evident from the illustrations that the behavior of the strategic alliances encounters catastrophe near the catastrophe set.
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Received: 15 September 2011
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2012, Vol. 9 
