| Summary: | With the change in emerging technology and the economic environment, governance of the lack and alienation of platform corporate social responsibility has become more urgent. Firstly, this paper analyses the autonomy defects of the platform corporate social responsibility and illustrates the need for heteronomy of platform corporate social responsibility. Secondly, we use differential game to study the heteronomy strategies for platform corporate social responsibility: self-beneficial governance or co-beneficial governance, including the optimal governance effort level and optimal profit and optimal trajectory of the amount of governance. Then, numerical examples are used to compare the two situations. Finally, the conclusion is verified by SFIC model. The result shows that: <xref rid="deqn1-deqn3" ref-type="disp-formula">(1)</xref> The amount of governance gradually reaches a stable state over time. <xref rid="deqn1-deqn3" ref-type="disp-formula">(2)</xref> Co-beneficial governance can improve the heteronomy of platform corporate social responsibility. <xref rid="deqn1-deqn3" ref-type="disp-formula">(3)</xref> The maturity of the ecosystem in which the governance subject and platform corporation are located positively affects the amount of governance.
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