FA-57056 / Auction allocation rules / Open access
Consortium bid: share conservation · case 01
Consortium award shares leave units unassigned or overassigned.
ROOT CAUSE
Consortium award shares leave units unassigned or overassigned.
VERIFIED REPAIR
For share conservation, apply the stipulated decision sum(x["shares"].get(m,0) for m in x["members"])==x["award"].
Unsuccessful approach: The attempted repair uses sum(x["shares"].values())>=x["award"]; the explicit regression cases demonstrate that this still violates the stipulated auction rule.
Case contract
A consortium submits one joint bid with named members and a designated representative. Member approvals are scope-specific. Award shares are literal integer units, member exits cannot strand assigned units, and affiliate conflicts are checked against both consortiums. Named decision share-conservation: For share conservation, apply the stipulated decision sum(x["shares"].get(m,0) for m in x["members"])==x["award"].
Why this case matters
Offline administrative auction model for software failure analysis.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
v0 = x["representative"] in x["members"]
v1 = set(x["members"])<=set(x["signers"])
v2 = all(set(x["lots"])<=set(x["approved_lots"].get(m,[])) for m in x["members"])
v3 = sum(x["shares"].values())<=x["award"]
v4 = all(x["shares"].get(m,0)==0 for m in x["exits"])
v5 = x["replacement"] in x["approved_members"] and x["replacement"] not in x["members"]
v6 = not any(set(x["affiliates"].get(m,[]))&set(x["rivals"]) for m in x["members"])
v7 = {m:x["award"] if x["joint"] else x["shares"].get(m,0) for m in x["members"]}
v8 = all(x["shares"].get(m,0)<=x["member_caps"].get(m,0) for m in x["members"])
v9 = not x["dissolved"] and all(x["payments"].get(m,0)>=x["required"].get(m,0) for m in x["members"])
return {'representative-membership':v0,'unanimous-bid-signature':v1,'joint-lot-mandate':v2,'share-conservation':v3,'exit-assignment-guard':v4,'replacement-member-approval':v5,'affiliate-rival-exclusion':v6,'joint-exposure':v7,'member-cap-certification':v8,'dissolution-settlement':v9}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('unallocated award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 6, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('member not signer / unallocated award', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 6, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('overassigned award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 4, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('member not signer / overassigned award', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 4, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('normal contract', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('member not signer', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('outsider signs', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'c'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('existing replacement', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'a', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('all signed', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'b'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('outsider representative', {'members': ['a', 'b'], 'representative': 'c', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('single lot mandate', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True])]
def vary(value):
if type(value) is int: return value*N
if isinstance(value,list): return [vary(v) for v in value]
if isinstance(value,dict): return {k:(v if k in ['count', 'delivery_index', 'disputed', 'maximum_set', 'minimum_set', 'stage', 'threshold', 'waived'] else vary(v)) for k,v in value.items()}
return value
for label, request, expected in fixtures:
check(label, solve(vary(request))['share-conservation'], expected[N-1])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| unallocated award | True | False | Failed |
| member not signer / unallocated award | True | False | Failed |
| overassigned award | False | False | Passed |
| member not signer / overassigned award | False | False | Passed |
| normal contract | True | True | Passed |
| member not signer | True | True | Passed |
| outsider signs | True | True | Passed |
| existing replacement | True | True | Passed |
| all signed | True | True | Passed |
| outsider representative | True | True | Passed |
| single lot mandate | True | True | Passed |
SHA-256 / ac2b8c10411b93ccb4a249b7496a01f49b951f06b970a5d85554cf180af6e98d
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
v0 = x["representative"] in x["members"]
v1 = set(x["members"])<=set(x["signers"])
v2 = all(set(x["lots"])<=set(x["approved_lots"].get(m,[])) for m in x["members"])
v3 = sum(x["shares"].values())>=x["award"]
v4 = all(x["shares"].get(m,0)==0 for m in x["exits"])
v5 = x["replacement"] in x["approved_members"] and x["replacement"] not in x["members"]
v6 = not any(set(x["affiliates"].get(m,[]))&set(x["rivals"]) for m in x["members"])
v7 = {m:x["award"] if x["joint"] else x["shares"].get(m,0) for m in x["members"]}
v8 = all(x["shares"].get(m,0)<=x["member_caps"].get(m,0) for m in x["members"])
v9 = not x["dissolved"] and all(x["payments"].get(m,0)>=x["required"].get(m,0) for m in x["members"])
return {'representative-membership':v0,'unanimous-bid-signature':v1,'joint-lot-mandate':v2,'share-conservation':v3,'exit-assignment-guard':v4,'replacement-member-approval':v5,'affiliate-rival-exclusion':v6,'joint-exposure':v7,'member-cap-certification':v8,'dissolution-settlement':v9}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('unallocated award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 6, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('member not signer / unallocated award', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 6, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('overassigned award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 4, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('member not signer / overassigned award', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 4, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('normal contract', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('member not signer', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('outsider signs', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'c'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('existing replacement', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'a', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('all signed', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'b'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('outsider representative', {'members': ['a', 'b'], 'representative': 'c', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('single lot mandate', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True])]
def vary(value):
if type(value) is int: return value*N
if isinstance(value,list): return [vary(v) for v in value]
if isinstance(value,dict): return {k:(v if k in ['count', 'delivery_index', 'disputed', 'maximum_set', 'minimum_set', 'stage', 'threshold', 'waived'] else vary(v)) for k,v in value.items()}
return value
for label, request, expected in fixtures:
check(label, solve(vary(request))['share-conservation'], expected[N-1])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| unallocated award | False | False | Passed |
| member not signer / unallocated award | False | False | Passed |
| overassigned award | True | False | Failed |
| member not signer / overassigned award | True | False | Failed |
| normal contract | True | True | Passed |
| member not signer | True | True | Passed |
| outsider signs | True | True | Passed |
| existing replacement | True | True | Passed |
| all signed | True | True | Passed |
| outsider representative | True | True | Passed |
| single lot mandate | True | True | Passed |
SHA-256 / 2c3ab757f4c3146b434ab6353f59e5d9ebf8adbab9a09d1732d9ffabcd8d8e57
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
v0 = x["representative"] in x["members"]
v1 = set(x["members"])<=set(x["signers"])
v2 = all(set(x["lots"])<=set(x["approved_lots"].get(m,[])) for m in x["members"])
v3 = sum(x["shares"].get(m,0) for m in x["members"])==x["award"]
v4 = all(x["shares"].get(m,0)==0 for m in x["exits"])
v5 = x["replacement"] in x["approved_members"] and x["replacement"] not in x["members"]
v6 = not any(set(x["affiliates"].get(m,[]))&set(x["rivals"]) for m in x["members"])
v7 = {m:x["award"] if x["joint"] else x["shares"].get(m,0) for m in x["members"]}
v8 = all(x["shares"].get(m,0)<=x["member_caps"].get(m,0) for m in x["members"])
v9 = not x["dissolved"] and all(x["payments"].get(m,0)>=x["required"].get(m,0) for m in x["members"])
return {'representative-membership':v0,'unanimous-bid-signature':v1,'joint-lot-mandate':v2,'share-conservation':v3,'exit-assignment-guard':v4,'replacement-member-approval':v5,'affiliate-rival-exclusion':v6,'joint-exposure':v7,'member-cap-certification':v8,'dissolution-settlement':v9}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('unallocated award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 6, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('member not signer / unallocated award', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 6, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('overassigned award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 4, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('member not signer / overassigned award', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 4, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [False, False, False, False, False]), ('normal contract', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('member not signer', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('outsider signs', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'c'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('existing replacement', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'a', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('all signed', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'b'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('outsider representative', {'members': ['a', 'b'], 'representative': 'c', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True]), ('single lot mandate', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [True, True, True, True, True])]
def vary(value):
if type(value) is int: return value*N
if isinstance(value,list): return [vary(v) for v in value]
if isinstance(value,dict): return {k:(v if k in ['count', 'delivery_index', 'disputed', 'maximum_set', 'minimum_set', 'stage', 'threshold', 'waived'] else vary(v)) for k,v in value.items()}
return value
for label, request, expected in fixtures:
check(label, solve(vary(request))['share-conservation'], expected[N-1])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| unallocated award | False | False | Passed |
| member not signer / unallocated award | False | False | Passed |
| overassigned award | False | False | Passed |
| member not signer / overassigned award | False | False | Passed |
| normal contract | True | True | Passed |
| member not signer | True | True | Passed |
| outsider signs | True | True | Passed |
| existing replacement | True | True | Passed |
| all signed | True | True | Passed |
| outsider representative | True | True | Passed |
| single lot mandate | True | True | Passed |
SHA-256 / aa10efe6de1a7a9c234084135d6ed597b1f34dc1fc7fd3c3517db8a38054ac67
Verification & scope
Stipulated toy auction rules, not a venue specification, financial advice, optimization claim, or live trading implementation. Nonnegative integer inputs and internally aligned list fields only. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.
Observations recorded using Python 3.12.14 at 2026-09-29T14:46:13.003551+00:00.
Case digest / d88d028b711b31d1605ca1a8def2868a078162d24098d4bc182b264e680529a1