Trust AI Regulation? Discerning users are vital to build trust and effective AI regulation

The paper’s baseline three-population replicator model (equations (14a–c)) and Jacobian DF(x,y,z) match the system the candidate analyzes. The paper proves: (i) all vertices are equilibria; (ii) for ε>0, (1,0,0) is asymptotically stable; for ε<0, (0,0,0) is asymptotically stable; and (iii) when ε<0 and 0<cP≤u there is a non-vertex equilibrium (cP/u, ε/(ε−1), 1) which is unstable due to a positive eigenvalue. These results are stated and derived in the paper’s equilibrium and stability analysis (including the explicit Jacobian and the eigenvalue sign checks) . The candidate solution reproduces the same linearization, vertex checks, and the instability of the non-vertex equilibrium via the positive λ3, and even adds correct discussion of degenerate zero-cost cases (except for a minor, nonessential remark about a “continuum of nearby equilibria” in the measure-zero case cR=v=0, cP=u, which does not actually arise). Overall, both arguments are consistent; the paper has a small notational slip in one example (at (1,0,0) it lists −cR instead of −(cR+v)), but its general formula and conclusions are correct.