Study the complexity and control of the recycling-supply chain of China's color TVs market based on the government subsidy

• The behavior of the informal recycler is considered to show its impact on the recycle system.
• The dynamic games between the recyclers and the government are analyzed considering the government subsidy.
• We explore the condition for the system to maintain stable and the method to control a chaotic system.
• We compare the influence of the parameters on the profits of all parties.

In these days, as the recycling of household appliances becomes increasingly popular, the recycling network tends to be perfect in television industry. This paper focuses on the game among two recyclers and a processor in a Duopoly market of color TV recycling. We find that if the adjustment coefficients of the decision variables are changed abruptly, the system will fall into chaotic state. In order to avoid hazard of falling into a chaotic state, we adopt the method of delay control, providing the manufacturers with effective measures about chaos control. This paper analyzes the system's reactions to government decision, finding that when the parameters become beneficial for manufacturers, consumers and the environment, the system will fall into chaos and system's regional stability will reduce. Resulting from our analysis, this paper gives advice on the improvement of the environment and enhance in social welfare. Tested through the data we collected, this study is practical in both its theory and its applicability.