FAILURE MAP
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FA-57041 / Auction allocation rules / Open access

Consortium bid: representative membership · case 01

An outside representative submits a consortium offer.

Verified by executionVariant 1 · 11 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

An outside representative submits a consortium offer.

VERIFIED REPAIR

For representative membership, apply the stipulated decision x["representative"] in x["members"].

Unsuccessful approach: The attempted repair uses x["representative"] in x["signers"]; 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 representative-membership: For representative membership, apply the stipulated decision x["representative"] in x["members"].

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 = True
    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 = [('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}, [False, False, False, False, False]), ('member not signer / 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}, [False, False, False, False, False]), ('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]), ('member not signer / outsider signs', {'members': ['a', 'b'], 'representative': 'b', '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]), ('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]), ('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]), ('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}, [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]), ('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]), ('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}, [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))['representative-membership'], 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 fixtureActualExpectedOutcome
outsider representativeTrueFalseFailed
member not signer / outsider representativeTrueFalseFailed
member not signerTrueTruePassed
member not signer / outsider signsTrueTruePassed
normal contractTrueTruePassed
outsider signsTrueTruePassed
overassigned awardTrueTruePassed
existing replacementTrueTruePassed
all signedTrueTruePassed
single lot mandateTrueTruePassed
unallocated awardTrueTruePassed

SHA-256 / a0c18c707f3f93cded2a92085f27103dd1083d56957f40176d6e6629decdde33

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["signers"]
    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 = [('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}, [False, False, False, False, False]), ('member not signer / 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}, [False, False, False, False, False]), ('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]), ('member not signer / outsider signs', {'members': ['a', 'b'], 'representative': 'b', '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]), ('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]), ('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]), ('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}, [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]), ('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]), ('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}, [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))['representative-membership'], 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 fixtureActualExpectedOutcome
outsider representativeFalseFalsePassed
member not signer / outsider representativeFalseFalsePassed
member not signerFalseTrueFailed
member not signer / outsider signsFalseTrueFailed
normal contractTrueTruePassed
outsider signsTrueTruePassed
overassigned awardTrueTruePassed
existing replacementTrueTruePassed
all signedTrueTruePassed
single lot mandateTrueTruePassed
unallocated awardTrueTruePassed

SHA-256 / 80d09eb8317d79b96126abbbcf1fbde2ff7051a3b1b64f342285f6d8f67cf694

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 = [('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}, [False, False, False, False, False]), ('member not signer / 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}, [False, False, False, False, False]), ('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]), ('member not signer / outsider signs', {'members': ['a', 'b'], 'representative': 'b', '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]), ('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]), ('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]), ('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}, [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]), ('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]), ('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}, [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))['representative-membership'], 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 fixtureActualExpectedOutcome
outsider representativeFalseFalsePassed
member not signer / outsider representativeFalseFalsePassed
member not signerTrueTruePassed
member not signer / outsider signsTrueTruePassed
normal contractTrueTruePassed
outsider signsTrueTruePassed
overassigned awardTrueTruePassed
existing replacementTrueTruePassed
all signedTrueTruePassed
single lot mandateTrueTruePassed
unallocated awardTrueTruePassed

SHA-256 / fd7594d1540b4d26e106a7e2d97218d3fd4d66babe6bdaa61b3316ccd741fb4b

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 2026-09-29T14:46:12.936428+00:00.

Case digest / 5791c732a423994be3884b08801e90a3e8792c671acc8d92ebc27eea1ef957d8