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Managing uncertainty or discontinuity in an innovation is still a challenge to most companies. For sustainable corporate survival over the long term, one of the problems caused by discontinuous innovation is the innovator’s dilemma. In specific, the dynamics between discontinuous innovation and incumbents inspires the interestof researchers and managers. This paper employs catastrophe theory as a theoretical basis to explain the driving force of new discontinuous change. In other words, we extract the control variables overcoming innovation dilemma by interpreting the dynamics of corporate strategy for discontinuous innovation from the perspective of catastrophe theory. First, we define four types of discontinuity such as technology discontinuity, product discontinuity, business discontinuity, and consumer preference discontinuity. Second, we analyze the dynamics of the competition between companies by interpreting the cases of discontinuous innovation. This analyzing process enables us to identify the control variable which can, in advance, respond to the discontinuous situation.

A Case Study of Discontinuous Innovation Based on Cusp Catastrophe Model : Implications for Predictive Risk Management