Before revision:  Third, by illustrating the regulatory procedure in linear dynamical systems, we prove that it can align social and financial interests , which are typically at odds . Specifically, we identify conditions under which the regulation imposes a low cost on the SMP's reward (e.g., profits) and incentivizes the SMP to increase content diversity . We provide illustrative simulations .
After revision:  Third, by illustrating the regulatory procedure in linear dynamical systems, we prove that it can align social and financial interests , which are typically at odds . Specifically, we identify conditions under which the regulation imposes a low cost on the SMP's reward (e.g., profits) and incentivizes the SMP to increase content diversity .