FA-56606 / Auction allocation rules / Open access
Clock demand: demand cap · case 01
A global cap substitutes for each lot demand cap.
ROOT CAUSE
A global cap substitutes for each lot demand cap.
VERIFIED REPAIR
Apply each lot cap to its own requested quantity.
Unsuccessful approach: The attempted repair uses [min(q,max(x["caps"])) for q in x["requested"]]; the explicit regression cases demonstrate that this still violates the stipulated auction rule.
Case contract
One bounded clock-auction round maintains per-lot demand at posted prices. Demand reductions become binding only at accepted clock prices; exits cannot be undone; deferred reductions are reconsidered against the new price. Arrays are aligned by lot and values are nonnegative integers. Named decision demand-cap: Apply each lot cap to its own requested quantity.
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 = [min(o,r) if a else o for o,r,a in zip(x["old"],x["requested"],x["accepted"])]
v1 = [0 if e else q for e,q in zip(x["exited"],x["requested"])]
v2 = [p if a else old for p,old,a in zip(x["prices"],x["previous_prices"],x["accepted"])]
v3 = x["requested"]
v4 = [max(0,q-s) for q,s in zip(x["old"],x["supply"])]
v5 = [i for i,(q,s) in enumerate(zip(x["old"],x["supply"])) if q>s]
v6 = [d if p>=w else o for d,p,w,o in zip(x["deferred"],x["prices"],x["withdrawal_prices"],x["old"])]
v7 = all(q<=s for q,s in zip(x["old"],x["supply"]))
v8 = [a and p!=o for a,p,o in zip(x["accepted"],x["prices"],x["previous_prices"])]
v9 = x["old"] if x["round"]<=x["last_round"] else x["requested"]
return {'accepted-reduction':v0,'irreversible-exit':v1,'posted-price-lock':v2,'demand-cap':v3,'excess-demand':v4,'clock-step-selection':v5,'deferred-exit-trigger':v6,'round-clearing-quiescence':v7,'price-change-ack':v8,'round-demand-replay':v9}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('unequal demand caps', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [1, 5], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[1, 4], [2, 8], [3, 12], [4, 16], [5, 20]]), ('unequal demand caps / balanced lots', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [1, 5], 'supply': [5, 3], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[1, 4], [2, 8], [3, 12], [4, 16], [5, 20]]), ('balanced lots', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [5, 3], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('cross lot surplus', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 9], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('exit at trigger', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [9, 25], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('all accepted', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, True], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('none accepted', {'old': [5, 3], 'requested': [2, 4], 'accepted': [False, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('no exited lots', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, False], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('auction reopened', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': True, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]])]
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))['demand-cap'], 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 | [2, 4] | [2, 3] | Failed |
| unequal demand caps | [2, 4] | [1, 4] | Failed |
| unequal demand caps / balanced lots | [2, 4] | [1, 4] | Failed |
| balanced lots | [2, 4] | [2, 3] | Failed |
| cross lot surplus | [2, 4] | [2, 3] | Failed |
| exit at trigger | [2, 4] | [2, 3] | Failed |
| all accepted | [2, 4] | [2, 3] | Failed |
| none accepted | [2, 4] | [2, 3] | Failed |
| no exited lots | [2, 4] | [2, 3] | Failed |
| auction reopened | [2, 4] | [2, 3] | Failed |
SHA-256 / b904a007a8a5c1cf0355787f260c091565fb71da4438c4eb360e5fad4e27708a
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
v0 = [min(o,r) if a else o for o,r,a in zip(x["old"],x["requested"],x["accepted"])]
v1 = [0 if e else q for e,q in zip(x["exited"],x["requested"])]
v2 = [p if a else old for p,old,a in zip(x["prices"],x["previous_prices"],x["accepted"])]
v3 = [min(q,max(x["caps"])) for q in x["requested"]]
v4 = [max(0,q-s) for q,s in zip(x["old"],x["supply"])]
v5 = [i for i,(q,s) in enumerate(zip(x["old"],x["supply"])) if q>s]
v6 = [d if p>=w else o for d,p,w,o in zip(x["deferred"],x["prices"],x["withdrawal_prices"],x["old"])]
v7 = all(q<=s for q,s in zip(x["old"],x["supply"]))
v8 = [a and p!=o for a,p,o in zip(x["accepted"],x["prices"],x["previous_prices"])]
v9 = x["old"] if x["round"]<=x["last_round"] else x["requested"]
return {'accepted-reduction':v0,'irreversible-exit':v1,'posted-price-lock':v2,'demand-cap':v3,'excess-demand':v4,'clock-step-selection':v5,'deferred-exit-trigger':v6,'round-clearing-quiescence':v7,'price-change-ack':v8,'round-demand-replay':v9}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('unequal demand caps', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [1, 5], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[1, 4], [2, 8], [3, 12], [4, 16], [5, 20]]), ('unequal demand caps / balanced lots', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [1, 5], 'supply': [5, 3], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[1, 4], [2, 8], [3, 12], [4, 16], [5, 20]]), ('balanced lots', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [5, 3], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('cross lot surplus', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 9], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('exit at trigger', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [9, 25], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('all accepted', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, True], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('none accepted', {'old': [5, 3], 'requested': [2, 4], 'accepted': [False, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('no exited lots', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, False], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('auction reopened', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': True, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]])]
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))['demand-cap'], 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 | [2, 3] | [2, 3] | Passed |
| unequal demand caps | [2, 4] | [1, 4] | Failed |
| unequal demand caps / balanced lots | [2, 4] | [1, 4] | Failed |
| balanced lots | [2, 3] | [2, 3] | Passed |
| cross lot surplus | [2, 3] | [2, 3] | Passed |
| exit at trigger | [2, 3] | [2, 3] | Passed |
| all accepted | [2, 3] | [2, 3] | Passed |
| none accepted | [2, 3] | [2, 3] | Passed |
| no exited lots | [2, 3] | [2, 3] | Passed |
| auction reopened | [2, 3] | [2, 3] | Passed |
SHA-256 / d63676f225fee2fbec8a16b593cf856e109d4588f5192640b9ec0cb0186fd46e
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
v0 = [min(o,r) if a else o for o,r,a in zip(x["old"],x["requested"],x["accepted"])]
v1 = [0 if e else q for e,q in zip(x["exited"],x["requested"])]
v2 = [p if a else old for p,old,a in zip(x["prices"],x["previous_prices"],x["accepted"])]
v3 = [min(q,c) for q,c in zip(x["requested"],x["caps"])]
v4 = [max(0,q-s) for q,s in zip(x["old"],x["supply"])]
v5 = [i for i,(q,s) in enumerate(zip(x["old"],x["supply"])) if q>s]
v6 = [d if p>=w else o for d,p,w,o in zip(x["deferred"],x["prices"],x["withdrawal_prices"],x["old"])]
v7 = all(q<=s for q,s in zip(x["old"],x["supply"]))
v8 = [a and p!=o for a,p,o in zip(x["accepted"],x["prices"],x["previous_prices"])]
v9 = x["old"] if x["round"]<=x["last_round"] else x["requested"]
return {'accepted-reduction':v0,'irreversible-exit':v1,'posted-price-lock':v2,'demand-cap':v3,'excess-demand':v4,'clock-step-selection':v5,'deferred-exit-trigger':v6,'round-clearing-quiescence':v7,'price-change-ack':v8,'round-demand-replay':v9}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('unequal demand caps', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [1, 5], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[1, 4], [2, 8], [3, 12], [4, 16], [5, 20]]), ('unequal demand caps / balanced lots', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [1, 5], 'supply': [5, 3], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[1, 4], [2, 8], [3, 12], [4, 16], [5, 20]]), ('balanced lots', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [5, 3], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('cross lot surplus', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 9], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('exit at trigger', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [9, 25], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('all accepted', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, True], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('none accepted', {'old': [5, 3], 'requested': [2, 4], 'accepted': [False, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('no exited lots', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, False], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': False, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]]), ('auction reopened', {'old': [5, 3], 'requested': [2, 4], 'accepted': [True, False], 'exited': [False, True], 'prices': [10, 20], 'previous_prices': [8, 20], 'caps': [3, 3], 'supply': [4, 2], 'deferred': [1, 2], 'withdrawal_prices': [9, 25], 'reopened': True, 'round': 2, 'last_round': 1}, [[2, 3], [4, 6], [6, 9], [8, 12], [10, 15]])]
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))['demand-cap'], 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 | [2, 3] | [2, 3] | Passed |
| unequal demand caps | [1, 4] | [1, 4] | Passed |
| unequal demand caps / balanced lots | [1, 4] | [1, 4] | Passed |
| balanced lots | [2, 3] | [2, 3] | Passed |
| cross lot surplus | [2, 3] | [2, 3] | Passed |
| exit at trigger | [2, 3] | [2, 3] | Passed |
| all accepted | [2, 3] | [2, 3] | Passed |
| none accepted | [2, 3] | [2, 3] | Passed |
| no exited lots | [2, 3] | [2, 3] | Passed |
| auction reopened | [2, 3] | [2, 3] | Passed |
SHA-256 / 33420f402466cc6e7782f3cdd6fe0293ea0a477bd2d47d374b6e8094cfe2ec04
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 2026-09-29T14:46:08.796501+00:00.
Case digest / 841057b04b1741103e89f86f1511dc5287192c1ca4949a272c56457c40e071bb