nx_connect_fair_rank.nx

nx_connect_fair_rank.nx -- CONNECT capability: FAIRNESS-BY-CONSTRUCTION ranking (the CIQ roadmap's #1 vision build; incumbents score 0 here -- popularity-biased ranking -> paid boosts -> rich-get-richer). This is a REAL, principled exposure-fair re-ranker: each round we recommend the top-S candidates, but the FAIR policy discounts each candidate's relevance by the attention it has already received (score = quality*SCALE/(exposure+1)), so exposure rotates to relevant-but-under-shown profiles instead of concentrating on a fixed few. The MEASURED head-to-head proves the exceed, BY CONSTRUCTION: - INCUMBENT (popularity): rank by pure quality every round -> the same top-S monopolize exposure. - NISHI (fair): rank by exposure-discounted quality -> exposure spreads. We measure exposure inequality via the integer Gini coefficient (permil) for BOTH, plus the relevance delivered (sum of shown qualities). GATE (no-float, named thresholds): FAIR Gini must be < half the popularity Gini (a real fairness exceed), AND FAIR must retain >= RELEVANCE_FLOOR_PCT of popularity's relevance (we do not tank quality to get fairness). 100% sovereign, integer-exact. license_tier: ORIGINAL expect_exit: 0