FA-57691 / Auction allocation rules / Open access

Reserve schedule: effective reserve step · case 01

Reserve lookup uses the final scheduled value before it takes effect.

Verified by executionVariant 1 · 9 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Reserve lookup uses the final scheduled value before it takes effect.

VERIFIED REPAIR

For effective reserve step, apply the stipulated decision max(((t,v) for t,v in zip(x["starts"],x["values"]) if t<=x["round"]),default=(0,None))[1].

Unsuccessful approach: The attempted repair uses next((v for t,v in zip(x["starts"],x["values"]) if t<=x["round"]),None); the explicit regression cases demonstrate that this still violates the stipulated auction rule.

Case contract

A seller precommits a reserve schedule before an auction. Reserve changes have effective rounds, approval and disclosure states. A hidden reserve can block sale but must not be represented as a competing bidder. The model certifies schedules rather than selecting a second-price payment. Named decision effective-reserve-step: For effective reserve step, apply the stipulated decision max(((t,v) for t,v in zip(x["starts"],x["values"]) if t<=x["round"]),default=(0,None))[1].

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["values"][-1]
    v1 = max(((t,v) for t,v,a in zip(x["starts"],x["values"],x["approved"]) if t<=x["round"] and a),default=(0,None))[1]
    v2 = x["current_reserve"] if x["disclosed"] else None
    v3 = x["current_reserve"] if x["frozen"] else x["submitted_reserve"]
    v4 = max(x["submitted_reserve"],x["floor"],x["seller_minimum"])
    v5 = x["floor"]<=x["submitted_reserve"]<=x["ceiling"]
    v6 = max(x["lot_minimum"],x["current_reserve"]*x["quantity"])
    v7 = len(x["real_bids"])
    v8 = x["current_reserve"] if x["withdrawn"] else x["submitted_reserve"]
    v9 = x["submitted_reserve"] if x["round"]>=x["grant_round"] else x["current_reserve"]
    return {'effective-reserve-step':v0,'approved-reserve-step':v1,'hidden-reserve-redaction':v2,'reserve-freeze':v3,'reserve-lower-bound':v4,'reserve-range-admission':v5,'whole-lot-reserve':v6,'reserve-not-a-bidder':v7,'withdrawn-reserve-amendment':v8,'grant-round-activation':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('seller floor binds', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 15, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('amendment starts this round', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 3}, [9, 18, 27, 36, 45]), ('first round', {'round': 1, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [12, 24, 36, 48, 60]), ('last round', {'round': 6, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [6, 12, 18, 24, 30]), ('all approved', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, True, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('public reserve', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': True, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('frozen reserve', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': True, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('reserve below floor', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 4, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45])]
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', 'quantity', '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))['effective-reserve-step'], 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	`6`	`9`	Failed
seller floor binds	`6`	`9`	Failed
amendment starts this round	`6`	`9`	Failed
first round	`6`	`12`	Failed
last round	`6`	`6`	Passed
all approved	`6`	`9`	Failed
public reserve	`6`	`9`	Failed
frozen reserve	`6`	`9`	Failed
reserve below floor	`6`	`9`	Failed

SHA-256 / 8a85d684a4b1a6be95b8a5214c12316ad6fe55d09f437f966763f05a41c1e716

2 / The unsuccessful fix

Exit 1

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

N = 1
observations = []
def solve(x):
    v0 = next((v for t,v in zip(x["starts"],x["values"]) if t<=x["round"]),None)
    v1 = max(((t,v) for t,v,a in zip(x["starts"],x["values"],x["approved"]) if t<=x["round"] and a),default=(0,None))[1]
    v2 = x["current_reserve"] if x["disclosed"] else None
    v3 = x["current_reserve"] if x["frozen"] else x["submitted_reserve"]
    v4 = max(x["submitted_reserve"],x["floor"],x["seller_minimum"])
    v5 = x["floor"]<=x["submitted_reserve"]<=x["ceiling"]
    v6 = max(x["lot_minimum"],x["current_reserve"]*x["quantity"])
    v7 = len(x["real_bids"])
    v8 = x["current_reserve"] if x["withdrawn"] else x["submitted_reserve"]
    v9 = x["submitted_reserve"] if x["round"]>=x["grant_round"] else x["current_reserve"]
    return {'effective-reserve-step':v0,'approved-reserve-step':v1,'hidden-reserve-redaction':v2,'reserve-freeze':v3,'reserve-lower-bound':v4,'reserve-range-admission':v5,'whole-lot-reserve':v6,'reserve-not-a-bidder':v7,'withdrawn-reserve-amendment':v8,'grant-round-activation':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('seller floor binds', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 15, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('amendment starts this round', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 3}, [9, 18, 27, 36, 45]), ('first round', {'round': 1, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [12, 24, 36, 48, 60]), ('last round', {'round': 6, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [6, 12, 18, 24, 30]), ('all approved', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, True, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('public reserve', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': True, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('frozen reserve', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': True, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('reserve below floor', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 4, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45])]
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', 'quantity', '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))['effective-reserve-step'], 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	`12`	`9`	Failed
seller floor binds	`12`	`9`	Failed
amendment starts this round	`12`	`9`	Failed
first round	`12`	`12`	Passed
last round	`12`	`6`	Failed
all approved	`12`	`9`	Failed
public reserve	`12`	`9`	Failed
frozen reserve	`12`	`9`	Failed
reserve below floor	`12`	`9`	Failed

SHA-256 / e455ecfe851994d4e8c65db3f5af11678009917ec57d3a8939ddce4be52f7f9e

3 / The verified repair

Exit 0

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

N = 1
observations = []
def solve(x):
    v0 = max(((t,v) for t,v in zip(x["starts"],x["values"]) if t<=x["round"]),default=(0,None))[1]
    v1 = max(((t,v) for t,v,a in zip(x["starts"],x["values"],x["approved"]) if t<=x["round"] and a),default=(0,None))[1]
    v2 = x["current_reserve"] if x["disclosed"] else None
    v3 = x["current_reserve"] if x["frozen"] else x["submitted_reserve"]
    v4 = max(x["submitted_reserve"],x["floor"],x["seller_minimum"])
    v5 = x["floor"]<=x["submitted_reserve"]<=x["ceiling"]
    v6 = max(x["lot_minimum"],x["current_reserve"]*x["quantity"])
    v7 = len(x["real_bids"])
    v8 = x["current_reserve"] if x["withdrawn"] else x["submitted_reserve"]
    v9 = x["submitted_reserve"] if x["round"]>=x["grant_round"] else x["current_reserve"]
    return {'effective-reserve-step':v0,'approved-reserve-step':v1,'hidden-reserve-redaction':v2,'reserve-freeze':v3,'reserve-lower-bound':v4,'reserve-range-admission':v5,'whole-lot-reserve':v6,'reserve-not-a-bidder':v7,'withdrawn-reserve-amendment':v8,'grant-round-activation':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('seller floor binds', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 15, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('amendment starts this round', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 3}, [9, 18, 27, 36, 45]), ('first round', {'round': 1, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [12, 24, 36, 48, 60]), ('last round', {'round': 6, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [6, 12, 18, 24, 30]), ('all approved', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, True, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('public reserve', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': True, 'frozen': False, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('frozen reserve', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': True, 'submitted_reserve': 8, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45]), ('reserve below floor', {'round': 3, 'starts': [1, 3, 5], 'values': [12, 9, 6], 'approved': [True, False, True], 'disclosed': False, 'frozen': False, 'submitted_reserve': 4, 'current_reserve': 10, 'floor': 7, 'seller_minimum': 5, 'ceiling': 20, 'quantity': 3, 'lot_minimum': 24, 'real_bids': [11, 8], 'reserve_as_bid': 10, 'withdrawn': False, 'grant_round': 4}, [9, 18, 27, 36, 45])]
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', 'quantity', '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))['effective-reserve-step'], 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	`9`	`9`	Passed
seller floor binds	`9`	`9`	Passed
amendment starts this round	`9`	`9`	Passed
first round	`12`	`12`	Passed
last round	`6`	`6`	Passed
all approved	`9`	`9`	Passed
public reserve	`9`	`9`	Passed
frozen reserve	`9`	`9`	Passed
reserve below floor	`9`	`9`	Passed

SHA-256 / 9f1ac5cf6fff57ecd806e15ae2f2d3f78e53b44937be1e14abc0a65cb3f36172

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 2026-09-29T14:46:19.377335+00:00.

Case digest / 4b57f68ff807495f32ef646a081565e640534ce725546796d9c90f7f9d51513c