{ "record_law_P1": { "complaint": "1/10", "calm": "9/10" }, "record_law_P2": { "complaint": "1/10", "calm": "9/10" }, "records_identical": true, "F_probability_P1": "1", "F_probability_P2": "1/5", "p_star_P1": "729/1000", "p_star_P2": "729/5000", "p_star_differs": true, "bounds_from_record_alone": [ "729/5000", "729/1000" ], "additional_record_that_separates": "a private, reprisal-safe channel: under P1 its use rate stays ~P(R)=1/10; under P2 it rises toward P(R)=1/2", "tier": "finite_diagnostic (exact rational arithmetic on two explicit finite models; existence certificate only)" }