FA-57066 / Auction allocation rules / Open access

Consortium bid: replacement member approval · case 01

An existing or unapproved member is used as the replacement entrant.

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ROOT CAUSE

An existing or unapproved member is used as the replacement entrant.

VERIFIED REPAIR

For replacement member approval, apply the stipulated decision x["replacement"] in x["approved_members"] and x["replacement"] not in x["members"].

Unsuccessful approach: The attempted repair uses x["replacement"] in x["approved_members"]; 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 replacement-member-approval: For replacement member approval, apply the stipulated decision x["replacement"] in x["approved_members"] and x["replacement"] not 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 = 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"] 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 = [('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}, [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}, [False, False, False, False, False]), ('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}, [False, False, False, False, False]), ('member not signer / existing replacement', {'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': '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}, [False, False, False, False, False]), ('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}, [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]), ('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}, [False, False, False, False, False]), ('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]), ('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}, [False, False, False, False, False]), ('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])]
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))['replacement-member-approval'], 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
normal contract	`True`	`False`	Failed
member not signer	`True`	`False`	Failed
existing replacement	`False`	`False`	Passed
member not signer / existing replacement	`False`	`False`	Passed
outsider signs	`True`	`False`	Failed
overassigned award	`True`	`False`	Failed
all signed	`True`	`False`	Failed
outsider representative	`True`	`False`	Failed
single lot mandate	`True`	`False`	Failed
unallocated award	`True`	`False`	Failed

SHA-256 / 047d6f65e0a5c4ca397c656385099e9732b933d1d2a96e1375bc3e4d9203a045

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"].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"]
    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 = [('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}, [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}, [False, False, False, False, False]), ('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}, [False, False, False, False, False]), ('member not signer / existing replacement', {'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': '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}, [False, False, False, False, False]), ('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}, [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]), ('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}, [False, False, False, False, False]), ('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]), ('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}, [False, False, False, False, False]), ('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])]
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))['replacement-member-approval'], 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
normal contract	`False`	`False`	Passed
member not signer	`False`	`False`	Passed
existing replacement	`True`	`False`	Failed
member not signer / existing replacement	`True`	`False`	Failed
outsider signs	`False`	`False`	Passed
overassigned award	`False`	`False`	Passed
all signed	`False`	`False`	Passed
outsider representative	`False`	`False`	Passed
single lot mandate	`False`	`False`	Passed
unallocated award	`False`	`False`	Passed

SHA-256 / b4e3757d39f236d0817d805d419603ef518ec27d1461ccd77014cd83daeaa588

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 = [('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}, [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}, [False, False, False, False, False]), ('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}, [False, False, False, False, False]), ('member not signer / existing replacement', {'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': '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}, [False, False, False, False, False]), ('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}, [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]), ('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}, [False, False, False, False, False]), ('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]), ('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}, [False, False, False, False, False]), ('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])]
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))['replacement-member-approval'], 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
normal contract	`False`	`False`	Passed
member not signer	`False`	`False`	Passed
existing replacement	`False`	`False`	Passed
member not signer / existing replacement	`False`	`False`	Passed
outsider signs	`False`	`False`	Passed
overassigned award	`False`	`False`	Passed
all signed	`False`	`False`	Passed
outsider representative	`False`	`False`	Passed
single lot mandate	`False`	`False`	Passed
unallocated award	`False`	`False`	Passed

SHA-256 / 2bef7655498ff3bc793a0b65088a136c1b72eb9b072aaaffb97e8ae9a59d3651

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 2026-09-29T14:46:13.026439+00:00.

Case digest / b2512fbc6f274e8dbb802386cc40556aeea08b3d1d2752898b60c8a4eeb0f1c9