DEBT NETWORK → EXACT CLEARING → CERTIFICATE

NetworkClear

交易对手违约传染与债务清算。Synthetic institution networks, pro-rata repayment, exact rational payments, and independent small-network verification.

Gross unpaid internal debt and outside creditor losses are reported separately. This model is an educational experiment, not a real-bank risk estimate.

Scenario CSV · Payments · Debt flows · Algorithm rounds · SHA-256 manifest

anchor-000-pct

0Defaulting institutions
0Additional cascade defaults
$0.00Outside creditor shortfall
$0.00Gross unpaid debt (includes internal debt)

Defaults: none. Cascade additions: none. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$10000.001/1paid in full1000000/10/1
B$8000.001/1paid in full800000/10/1
C$6400.001/1paid in full640000/10/1
D$5000.001/1paid in full500000/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

0 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-010-pct

2Defaulting institutions
1Additional cascade defaults
$260.00Outside creditor shortfall
$1300.00Gross unpaid debt (includes internal debt)

Defaults: A, B. Cascade additions: B. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$9000.009/10DEFAULT900000/10/1
B$7700.0077/80DEFAULT770000/10/1
C$6400.001/1paid in full640000/10/1
D$5000.001/1paid in full500000/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

2 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-020-pct

3Defaulting institutions
2Additional cascade defaults
$696.00Outside creditor shortfall
$3480.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C. Cascade additions: B, C. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$8000.004/5DEFAULT800000/10/1
B$6900.0069/80DEFAULT690000/10/1
C$6020.00301/320DEFAULT602000/10/1
D$5000.001/1paid in full500000/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

3 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-030-pct

4Defaulting institutions
3Additional cascade defaults
$1380.00Outside creditor shortfall
$6116.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$7000.007/10DEFAULT700000/10/1
B$6100.0061/80DEFAULT610000/10/1
C$5380.00269/320DEFAULT538000/10/1
D$4804.001201/1250DEFAULT480400/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-040-pct

4Defaulting institutions
3Additional cascade defaults
$2380.00Outside creditor shortfall
$9068.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$6000.003/5DEFAULT600000/10/1
B$5300.0053/80DEFAULT530000/10/1
C$4740.00237/320DEFAULT474000/10/1
D$4292.001073/1250DEFAULT429200/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-050-pct

4Defaulting institutions
3Additional cascade defaults
$3380.00Outside creditor shortfall
$12020.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$5000.001/2DEFAULT500000/10/1
B$4500.009/16DEFAULT450000/10/1
C$4100.0041/64DEFAULT410000/10/1
D$3780.00189/250DEFAULT378000/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-060-pct

4Defaulting institutions
3Additional cascade defaults
$4380.00Outside creditor shortfall
$14972.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$4000.002/5DEFAULT400000/10/1
B$3700.0037/80DEFAULT370000/10/1
C$3460.00173/320DEFAULT346000/10/1
D$3268.00817/1250DEFAULT326800/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-070-pct

4Defaulting institutions
3Additional cascade defaults
$5380.00Outside creditor shortfall
$17924.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$3000.003/10DEFAULT300000/10/1
B$2900.0029/80DEFAULT290000/10/1
C$2820.00141/320DEFAULT282000/10/1
D$2756.00689/1250DEFAULT275600/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-080-pct

4Defaulting institutions
3Additional cascade defaults
$6380.00Outside creditor shortfall
$20876.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$2000.001/5DEFAULT200000/10/1
B$2100.0021/80DEFAULT210000/10/1
C$2180.00109/320DEFAULT218000/10/1
D$2244.00561/1250DEFAULT224400/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-090-pct

4Defaulting institutions
3Additional cascade defaults
$7380.00Outside creditor shortfall
$23828.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$1000.001/10DEFAULT100000/10/1
B$1300.0013/80DEFAULT130000/10/1
C$1540.0077/320DEFAULT154000/10/1
D$1732.00433/1250DEFAULT173200/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-100-pct

4Defaulting institutions
3Additional cascade defaults
$8380.00Outside creditor shortfall
$26780.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$0.000/1DEFAULT0/10/1
B$500.001/16DEFAULT50000/10/1
C$900.009/64DEFAULT90000/10/1
D$1220.0061/250DEFAULT122000/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

broad-050-pct

7Defaulting institutions
5Additional cascade defaults
$4559.17Outside creditor shortfall
$14880.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D, E, G, H. Cascade additions: B, C, D, E, H. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$5000.001/2DEFAULT500000/10/1
B$4250.0017/32DEFAULT425000/10/1
C$3650.0073/128DEFAULT365000/10/1
D$3170.00317/500DEFAULT317000/10/1
E$3950.0079/80DEFAULT395000/10/1
F$3000.001/1paid in full300000/10/1
G$1250.001/2DEFAULT125000/10/1
H$1250.005/6DEFAULT125000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

cycle-090-pct

2Defaulting institutions
1Additional cascade defaults
$350.00Outside creditor shortfall
$1385.19Gross unpaid debt (includes internal debt)

Defaults: E, F. Cascade additions: F. Injection budget: $0.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$10000.001/1paid in full1000000/10/1
B$8000.001/1paid in full800000/10/1
C$6400.001/1paid in full640000/10/1
D$5000.001/1paid in full500000/10/1
E$2837.04383/540DEFAULT7660000/270/1
F$2777.7825/27DEFAULT2500000/90/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

2 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-050-rescue-anchor

4Defaulting institutions
3Additional cascade defaults
$1380.00Outside creditor shortfall
$6116.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $2000.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$7000.007/10DEFAULT700000/10/1
B$6100.0061/80DEFAULT610000/10/1
C$5380.00269/320DEFAULT538000/10/1
D$4804.001201/1250DEFAULT480400/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

anchor-050-rescue-equal

4Defaulting institutions
3Additional cascade defaults
$2380.00Outside creditor shortfall
$9972.00Gross unpaid debt (includes internal debt)

Defaults: A, B, C, D. Cascade additions: B, C, D. Injection budget: $2000.00.

InstitutionTotal paidExact recovery ratioStatusExact centsFixed-point residual
A$5250.0021/40DEFAULT525000/10/1
B$4950.0099/160DEFAULT495000/10/1
C$4710.00471/640DEFAULT471000/10/1
D$4518.002259/2500DEFAULT451800/10/1
E$4000.001/1paid in full400000/10/1
F$3000.001/1paid in full300000/10/1
G$2500.001/1paid in full250000/10/1
H$1500.001/1paid in full150000/10/1
Algorithm evidence

4 active-set solves. These are computation steps, not elapsed contagion time. All clearing residuals are exactly zero; external assets equal outside payments plus final equity.

Nominal liability matrix / 债务矩阵

Rows owe columns. Amounts below are USD; outside creditors do not owe the network.

Debtor ↓ / Creditor →ABCDEFGHOUTSIDE
A0.008000.000.000.000.000.000.000.002000.00
B0.000.006400.000.000.000.000.000.001600.00
C0.000.000.005120.000.000.000.000.001280.00
D0.000.000.000.000.000.000.000.005000.00
E0.000.000.000.000.003000.000.000.001000.00
F0.000.000.000.002200.000.000.000.00800.00
G0.000.000.000.00500.000.000.001500.00500.00
H0.000.000.000.000.00500.000.000.001000.00

Every debtor has positive outside debt. Display rounds to cents; mathematical payments can be fractional cents. networkclear verify examples/demo recomputes all files and exhaustively checks clearing regimes for networks of at most eight nodes. Hashes establish consistency, not authenticity.