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FA-57266 / Auction allocation rules / Open access

Tie ballot: ballot supply remainder · case 01

Tie ballot distributes full supply again after partial awards.

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

ROOT CAUSE

Tie ballot distributes full supply again after partial awards.

VERIFIED REPAIR

For ballot supply remainder, apply the stipulated decision max(0,x["supply"]-len(set(x["winners"]))).

Unsuccessful approach: The attempted repair uses x["supply"]-len(x["winners"]); the explicit regression cases demonstrate that this still violates the stipulated auction rule.

Case contract

A toy tied-award ballot has a frozen eligible bidder roster, published ticket order, one ticket per eligible bidder, and an explicitly supplied draw index. It is deterministic: no randomness claim. Declined winners rotate to the next eligible ticket without returning the declined bidder to the draw. Named decision ballot-supply-remainder: For ballot supply remainder, apply the stipulated decision max(0,x["supply"]-len(set(x["winners"]))).

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 = list(dict.fromkeys(t for t in x["tickets"] if t in x["roster"]))
    v1 = [t for t in x["tickets"] if t in x["roster"]]
    v2 = [t for t in dict.fromkeys(x["tickets"]) if t in x["roster"] and t not in x["disqualified"]]
    v3 = x["roster"][x["draw"]] if 0<=x["draw"]<len(x["roster"]) else None
    v4 = next((t for t in x["committed"] if t not in x["declined"]),None)
    v5 = x["supply"]
    v6 = list(dict.fromkeys(t for t in x["tickets"] if t in x["roster"]))==x["committed"]
    v7 = x["committed"][:x["supply"]] if x["published"] else []
    v8 = x["round"]==x["ballot_round"]
    v9 = [x["substitutes"].get(w,w) if x["substitutes"].get(w,w) in x["consented"] else w for w in x["winners"]]
    return {'one-ticket-per-bidder':v0,'roster-ticket-admission':v1,'disqualification-before-draw':v2,'draw-index-contract':v3,'declined-ticket-rotation':v4,'ballot-supply-remainder':v5,'ticket-order-commitment':v6,'publication-before-award':v7,'round-specific-ballot':v8,'winner-substitute-consent':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('future ballot', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 3, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('zero supply', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 0, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [0, 0, 0, 0, 0]), ('future ballot / zero supply', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 0, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 3, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [0, 0, 0, 0, 0]), ('no declines', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': [], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('draw first', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 0, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('draw beyond roster', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 7, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('all disqualified', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['a', 'b', 'c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('all tickets valid', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('unpublished draw', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': False, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('same round', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 2, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9])]
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))['ballot-supply-remainder'], 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
normal contract21Failed
future ballot21Failed
zero supply00Passed
future ballot / zero supply00Passed
no declines21Failed
draw first21Failed
draw beyond roster21Failed
all disqualified21Failed
all tickets valid21Failed
unpublished draw21Failed
same round21Failed

SHA-256 / a28e74408cac0f5d0201a07bfb42fdbadc6e29af0fc7b3cca597a551723f3e7e

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    v0 = list(dict.fromkeys(t for t in x["tickets"] if t in x["roster"]))
    v1 = [t for t in x["tickets"] if t in x["roster"]]
    v2 = [t for t in dict.fromkeys(x["tickets"]) if t in x["roster"] and t not in x["disqualified"]]
    v3 = x["roster"][x["draw"]] if 0<=x["draw"]<len(x["roster"]) else None
    v4 = next((t for t in x["committed"] if t not in x["declined"]),None)
    v5 = x["supply"]-len(x["winners"])
    v6 = list(dict.fromkeys(t for t in x["tickets"] if t in x["roster"]))==x["committed"]
    v7 = x["committed"][:x["supply"]] if x["published"] else []
    v8 = x["round"]==x["ballot_round"]
    v9 = [x["substitutes"].get(w,w) if x["substitutes"].get(w,w) in x["consented"] else w for w in x["winners"]]
    return {'one-ticket-per-bidder':v0,'roster-ticket-admission':v1,'disqualification-before-draw':v2,'draw-index-contract':v3,'declined-ticket-rotation':v4,'ballot-supply-remainder':v5,'ticket-order-commitment':v6,'publication-before-award':v7,'round-specific-ballot':v8,'winner-substitute-consent':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('future ballot', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 3, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('zero supply', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 0, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [0, 0, 0, 0, 0]), ('future ballot / zero supply', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 0, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 3, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [0, 0, 0, 0, 0]), ('no declines', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': [], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('draw first', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 0, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('draw beyond roster', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 7, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('all disqualified', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['a', 'b', 'c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('all tickets valid', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('unpublished draw', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': False, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('same round', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 2, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9])]
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))['ballot-supply-remainder'], 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
normal contract11Passed
future ballot11Passed
zero supply-10Failed
future ballot / zero supply-10Failed
no declines11Passed
draw first11Passed
draw beyond roster11Passed
all disqualified11Passed
all tickets valid11Passed
unpublished draw11Passed
same round11Passed

SHA-256 / 1b3ac7d404834c47346ea8aeebd47a935c8f17b770485782002ba69fca09ffc9

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    v0 = list(dict.fromkeys(t for t in x["tickets"] if t in x["roster"]))
    v1 = [t for t in x["tickets"] if t in x["roster"]]
    v2 = [t for t in dict.fromkeys(x["tickets"]) if t in x["roster"] and t not in x["disqualified"]]
    v3 = x["roster"][x["draw"]] if 0<=x["draw"]<len(x["roster"]) else None
    v4 = next((t for t in x["committed"] if t not in x["declined"]),None)
    v5 = max(0,x["supply"]-len(set(x["winners"])))
    v6 = list(dict.fromkeys(t for t in x["tickets"] if t in x["roster"]))==x["committed"]
    v7 = x["committed"][:x["supply"]] if x["published"] else []
    v8 = x["round"]==x["ballot_round"]
    v9 = [x["substitutes"].get(w,w) if x["substitutes"].get(w,w) in x["consented"] else w for w in x["winners"]]
    return {'one-ticket-per-bidder':v0,'roster-ticket-admission':v1,'disqualification-before-draw':v2,'draw-index-contract':v3,'declined-ticket-rotation':v4,'ballot-supply-remainder':v5,'ticket-order-commitment':v6,'publication-before-award':v7,'round-specific-ballot':v8,'winner-substitute-consent':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('future ballot', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 3, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('zero supply', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 0, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [0, 0, 0, 0, 0]), ('future ballot / zero supply', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 0, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 3, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [0, 0, 0, 0, 0]), ('no declines', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': [], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('draw first', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 0, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('draw beyond roster', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 7, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('all disqualified', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['a', 'b', 'c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('all tickets valid', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('unpublished draw', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': False, 'round': 2, 'ballot_round': 1, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9]), ('same round', {'roster': ['a', 'b', 'c'], 'tickets': ['b', 'a', 'b', 'd', 'c'], 'disqualified': ['c'], 'draw': 1, 'declined': ['b'], 'winners': ['a'], 'supply': 2, 'committed': ['b', 'a', 'c'], 'published': True, 'round': 2, 'ballot_round': 2, 'substitutes': {'a': 'z'}, 'consented': ['z']}, [1, 3, 5, 7, 9])]
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))['ballot-supply-remainder'], 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
normal contract11Passed
future ballot11Passed
zero supply00Passed
future ballot / zero supply00Passed
no declines11Passed
draw first11Passed
draw beyond roster11Passed
all disqualified11Passed
all tickets valid11Passed
unpublished draw11Passed
same round11Passed

SHA-256 / 5bfa4932794b1ce3903414da223fb8919a26fad85ed9d85ce7737482b459d2bb

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 2026-09-29T14:46:15.040487+00:00.

Case digest / 0b7c0caac985bd0c983be9620e4bba2ea1836d1e6fa4712ec9d6b2786bb8c861