{
  "model": "EVE Sim v3 - Network & Dependency Graph",
  "graph": "scale-free DAG, N=8000, 3 deps/asset (preferential attachment)",
  "params": {
    "dep_share": 0.1,
    "alpha_depth_attenuation": 0.6,
    "lambda_own_freshness": 1.5,
    "lambda_dep_freshness_fix": 2.0
  },
  "concentration": {
    "own_mint": {
      "gini": 0.5515302559140944,
      "top1": 0.10097075731804302,
      "top10": 0.4131530212779625
    },
    "royalty_no_decay": {
      "gini": 0.9264180294976683,
      "top1": 0.6117094856709743,
      "top10": 0.8687306246473324
    },
    "royalty_decay": {
      "gini": 0.8908668407678977,
      "top1": 0.49666646879904003,
      "top10": 0.7928983987374829
    },
    "royalty_decay_cap": {
      "gini": 0.8292607247701129,
      "top1": 0.20833935780461313,
      "top10": 0.6742633333726437
    },
    "total_no_decay": {
      "gini": 0.5428046415192194,
      "top1": 0.11313576755475631,
      "top10": 0.4149206066969601
    },
    "total_decay": {
      "gini": 0.5460107998498496,
      "top1": 0.09975492572538142,
      "top10": 0.4099839001375982
    }
  },
  "cap_mult": 20.0,
  "royalty_share_by_age_decile_no_decay": [
    0.7964,
    0.0764,
    0.0383,
    0.0282,
    0.022,
    0.0136,
    0.0112,
    0.0075,
    0.0047,
    0.0018
  ],
  "royalty_share_by_age_decile_decay": [
    0.6569,
    0.0821,
    0.0504,
    0.0455,
    0.0433,
    0.0326,
    0.0328,
    0.0268,
    0.0204,
    0.0091
  ],
  "alpha_sweep": {
    "alpha": [
      0.1,
      0.2,
      0.3,
      0.4,
      0.5,
      0.6,
      0.7,
      0.8,
      0.9
    ],
    "top10_share_no_decay": [
      0.8089,
      0.8204,
      0.8324,
      0.8446,
      0.8568,
      0.8687,
      0.8803,
      0.8915,
      0.9022
    ],
    "top10_share_decay": [
      0.7295,
      0.7401,
      0.752,
      0.7649,
      0.7786,
      0.7929,
      0.8076,
      0.8223,
      0.837
    ]
  },
  "fragility": {
    "systemic_top1_footprint_share": 0.2926,
    "max_in_degree": 1052,
    "note": "Footprint = total downstream mint depending on a node. Scale-free -> a few systemic nodes. BUT under Legacy, a dead owner's asset PERSISTS and stays usable (data/code remains); only the owner's royalty stops -> no FUNCTIONAL cascade. Systemic risk is about asset AVAILABILITY (argue for commons-custody of critical deps), not economic contagion."
  },
  "legacy_floor_dividend": {
    "share_owners_deceased": 0.438,
    "ancestral_dividend_share_of_dep_pool": 0.819,
    "top10_capture_no_legacy_heirs": 0.793,
    "top10_capture_with_legacy_floor": 0.167,
    "note": "Orphaned dependency-shares of Legacy (dead-owner) assets route to the floor, NOT to heirs or the living stack. Because the oldest, most-depended-on assets are the ones whose owners have died, much of the dependency pool becomes an ANCESTRAL DIVIDEND funding the floor, and concentration among living owners falls vs the all-alive snapshot."
  },
  "headline": "Pay-the-stack concentrates dependency royalties heavily into a few foundational ('genesis') assets WHILE THEIR OWNERS ARE ALIVE (royalty Gini 0.93 vs 0.55 own-mint; oldest 10% capture ~80%). This is a WITHIN-LIFE concentration, not a dynasty - Legacy ends every earning stream at death. Two levers bound the living concentration: W_age freshness-decay on the dependency stream and a per-node royalty cap (top-10% 87%->79%->67%). And because the oldest, most-depended-on assets are exactly the ones whose owners have died, routing their orphaned dependency-shares to the FLOOR - not to heirs, and not to the living stack (which would reward removing an upstream owner) - turns much of the pool into an ANCESTRAL DIVIDEND funding the safety net and drops living concentration further. Fragility is topological (top asset underlies ~29% of mint) but Legacy prevents an economic cascade -> an availability concern met by commons-custody. Verdict: SURVIVES WITH CHANGES.",
  "closes_roadmap_item": "Network / dependency-graph concentration model (Modeling Roadmap #4)"
}