The exponential growth of data has raised concerns about data integrity, especially in the face of malicious data poisoning attacks. Distance-based defenses like trimming have been proposed but are easily evaded by attackers. Game theory offers a promising approach to address the evasiveness of poisoning attacks. Existing game-theoretical models often overlook the complexities of online data poisoning attacks, where strategies must adapt to dynamic data collection processes. An interactive game-theoretical model is presented in this paper to defend against online data manipulation attacks using the trimming strategy. The model accommodates a complete strategy space and simplifies the derivation of Stackelberg equilibrium. Two strategies, Tit-for-tat and Elastic, are devised from this analytical model and tested on real-world datasets to showcase their effectiveness.
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