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FA-85976 / Game economy crafting balance / Open access

Auction house fees: Deposit counts day blocks instead of half days · case 01

Long listings are undercharged by half.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The deposit multiplier divides duration by 24 hours instead of 12-hour blocks.

THE FAILURE

The deposit multiplier divides duration by 24 hours instead of 12-hour blocks.

Unsuccessful approach: Clamping to one block fixes 12-hour listings but still halves longer ones.

Case contract

Deposit = per_block * (hours//12) where per_block = max(1, floor(stack_value*15/100)). Sold: net = price - cut with cut = 5% of price rounded half up (deposit refunded). Expired: net = -deposit. Cancelled: net = -deposit - floor(bid*5/100) (bid defaults to 0). Returns {deposit, net} in copper.

Why this case matters

Game economies leak or destroy currency when one crafting or pricing rule is off by one boundary, rounding stage or state update; the defect is observable in exact integer outcomes.

1 / The failure

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

N = 1
observations = []
def solve(listing, outcome):
    blocks = listing['hours'] // 24
    per_block = max(1, listing['stack_value'] * 15 // 100)
    deposit = per_block * blocks
    status = outcome['status']
    if status == 'sold':
        cut = (listing['price'] * 5 + 50) // 100
        net = listing['price'] - cut
    elif status == 'cancelled':
        net = -deposit - outcome.get('bid', 0) * 5 // 100
    else:
        net = -deposit
    return {'deposit': deposit, 'net': net}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('long cheap listing #1',
   [{'price': 10, 'hours': 48, 'stack_value': 3}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('cancel with bid #1',
   [{'price': 500, 'hours': 24, 'stack_value': 40}, {'status': 'cancelled', 'bid': 390}],
   {'deposit': 12, 'net': -31}),
  ('half-up cut boundary #1',
   [{'price': 10, 'hours': 12, 'stack_value': 100}, {'status': 'sold'}],
   {'deposit': 15, 'net': 9}),
  ('regression duration blocks #1',
   [{'price': 11, 'hours': 24, 'stack_value': 13}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #2',
   [{'price': 10, 'hours': 48, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #3',
   [{'price': 50, 'hours': 24, 'stack_value': 6}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #1',
   [{'price': 11, 'hours': 12, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 1, 'net': -1}),
  ('fault site duration blocks #2',
   [{'price': 1, 'hours': 12, 'stack_value': 4743}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 711, 'net': -711})],
 [('half-up cut boundary #1',
   [{'price': 10, 'hours': 12, 'stack_value': 100}, {'status': 'sold'}],
   {'deposit': 15, 'net': 9}),
  ('cancel with bid #1',
   [{'price': 500, 'hours': 24, 'stack_value': 40}, {'status': 'cancelled', 'bid': 390}],
   {'deposit': 12, 'net': -31}),
  ('regression duration blocks #1',
   [{'price': 11, 'hours': 24, 'stack_value': 13}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #2',
   [{'price': 10, 'hours': 48, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #3',
   [{'price': 50, 'hours': 24, 'stack_value': 6}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #4',
   [{'price': 190, 'hours': 24, 'stack_value': 13}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #1',
   [{'price': 11, 'hours': 12, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 1, 'net': -1}),
  ('fault site duration blocks #2',
   [{'price': 1, 'hours': 12, 'stack_value': 4743}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 711, 'net': -711})],
 [('cancel with bid #1',
   [{'price': 500, 'hours': 24, 'stack_value': 40}, {'status': 'cancelled', 'bid': 390}],
   {'deposit': 12, 'net': -31}),
  ('long cheap listing #1',
   [{'price': 10, 'hours': 48, 'stack_value': 3}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #1',
   [{'price': 10, 'hours': 48, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #2',
   [{'price': 50, 'hours': 24, 'stack_value': 6}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #3',
   [{'price': 190, 'hours': 24, 'stack_value': 13}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #4',
   [{'price': 912, 'hours': 24, 'stack_value': 0}, {'status': 'cancelled'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #1',
   [{'price': 11, 'hours': 12, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 1, 'net': -1}),
  ('fault site duration blocks #2',
   [{'price': 1, 'hours': 12, 'stack_value': 4743}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 711, 'net': -711})],
 [('long cheap listing #1',
   [{'price': 10, 'hours': 48, 'stack_value': 3}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('cancel with bid #1',
   [{'price': 500, 'hours': 24, 'stack_value': 40}, {'status': 'cancelled', 'bid': 390}],
   {'deposit': 12, 'net': -31}),
  ('fault site duration blocks #1',
   [{'price': 11, 'hours': 12, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 1, 'net': -1}),
  ('fault site duration blocks #2',
   [{'price': 1, 'hours': 12, 'stack_value': 4743}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 711, 'net': -711}),
  ('regression duration blocks #1',
   [{'price': 912, 'hours': 24, 'stack_value': 0}, {'status': 'cancelled'}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #2',
   [{'price': 190, 'hours': 48, 'stack_value': 0}, {'status': 'cancelled', 'bid': 99}],
   {'deposit': 4, 'net': -8}),
  ('regression duration blocks #3',
   [{'price': 190, 'hours': 24, 'stack_value': 13}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #3',
   [{'price': 190, 'hours': 12, 'stack_value': 13}, {'status': 'cancelled'}],
   {'deposit': 1, 'net': -1})],
 [('half-up cut boundary #1',
   [{'price': 10, 'hours': 12, 'stack_value': 100}, {'status': 'sold'}],
   {'deposit': 15, 'net': 9}),
  ('long cheap listing #1',
   [{'price': 10, 'hours': 48, 'stack_value': 3}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #1',
   [{'price': 190, 'hours': 24, 'stack_value': 13}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #1',
   [{'price': 190, 'hours': 12, 'stack_value': 13}, {'status': 'cancelled'}],
   {'deposit': 1, 'net': -1}),
  ('regression duration blocks #2',
   [{'price': 1, 'hours': 24, 'stack_value': 7}, {'status': 'sold'}],
   {'deposit': 2, 'net': 1}),
  ('regression duration blocks #3',
   [{'price': 30, 'hours': 48, 'stack_value': 7}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('fault site duration blocks #2',
   [{'price': 10, 'hours': 12, 'stack_value': 0}, {'status': 'cancelled', 'bid': 99}],
   {'deposit': 1, 'net': -5}),
  ('regression duration blocks #4',
   [{'price': 912, 'hours': 24, 'stack_value': 0}, {'status': 'cancelled'}],
   {'deposit': 2, 'net': -2})]]
for label, args, expected in cases[N-1]:
    check(label, solve(*args), expected)
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
long cheap listing #1{'deposit': 2, 'net': -2}{'deposit': 4, 'net': -4}Failed
cancel with bid #1{'deposit': 6, 'net': -25}{'deposit': 12, 'net': -31}Failed
half-up cut boundary #1{'deposit': 0, 'net': 9}{'deposit': 15, 'net': 9}Failed
regression duration blocks #1{'deposit': 1, 'net': -1}{'deposit': 2, 'net': -2}Failed
regression duration blocks #2{'deposit': 2, 'net': -2}{'deposit': 4, 'net': -4}Failed
regression duration blocks #3{'deposit': 1, 'net': -1}{'deposit': 2, 'net': -2}Failed
fault site duration blocks #1{'deposit': 0, 'net': 0}{'deposit': 1, 'net': -1}Failed
fault site duration blocks #2{'deposit': 0, 'net': 0}{'deposit': 711, 'net': -711}Failed

SHA-256 / 1024d98bd875228eddac9c6c87a8a361b6a2ea520c8f0230fb83f8ae014e3ae1

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(listing, outcome):
    blocks = max(1, listing['hours'] // 24)
    per_block = max(1, listing['stack_value'] * 15 // 100)
    deposit = per_block * blocks
    status = outcome['status']
    if status == 'sold':
        cut = (listing['price'] * 5 + 50) // 100
        net = listing['price'] - cut
    elif status == 'cancelled':
        net = -deposit - outcome.get('bid', 0) * 5 // 100
    else:
        net = -deposit
    return {'deposit': deposit, 'net': net}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('long cheap listing #1',
   [{'price': 10, 'hours': 48, 'stack_value': 3}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('cancel with bid #1',
   [{'price': 500, 'hours': 24, 'stack_value': 40}, {'status': 'cancelled', 'bid': 390}],
   {'deposit': 12, 'net': -31}),
  ('half-up cut boundary #1',
   [{'price': 10, 'hours': 12, 'stack_value': 100}, {'status': 'sold'}],
   {'deposit': 15, 'net': 9}),
  ('regression duration blocks #1',
   [{'price': 11, 'hours': 24, 'stack_value': 13}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #2',
   [{'price': 10, 'hours': 48, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #3',
   [{'price': 50, 'hours': 24, 'stack_value': 6}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #1',
   [{'price': 11, 'hours': 12, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 1, 'net': -1}),
  ('fault site duration blocks #2',
   [{'price': 1, 'hours': 12, 'stack_value': 4743}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 711, 'net': -711})],
 [('half-up cut boundary #1',
   [{'price': 10, 'hours': 12, 'stack_value': 100}, {'status': 'sold'}],
   {'deposit': 15, 'net': 9}),
  ('cancel with bid #1',
   [{'price': 500, 'hours': 24, 'stack_value': 40}, {'status': 'cancelled', 'bid': 390}],
   {'deposit': 12, 'net': -31}),
  ('regression duration blocks #1',
   [{'price': 11, 'hours': 24, 'stack_value': 13}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #2',
   [{'price': 10, 'hours': 48, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #3',
   [{'price': 50, 'hours': 24, 'stack_value': 6}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #4',
   [{'price': 190, 'hours': 24, 'stack_value': 13}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #1',
   [{'price': 11, 'hours': 12, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 1, 'net': -1}),
  ('fault site duration blocks #2',
   [{'price': 1, 'hours': 12, 'stack_value': 4743}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 711, 'net': -711})],
 [('cancel with bid #1',
   [{'price': 500, 'hours': 24, 'stack_value': 40}, {'status': 'cancelled', 'bid': 390}],
   {'deposit': 12, 'net': -31}),
  ('long cheap listing #1',
   [{'price': 10, 'hours': 48, 'stack_value': 3}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #1',
   [{'price': 10, 'hours': 48, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #2',
   [{'price': 50, 'hours': 24, 'stack_value': 6}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #3',
   [{'price': 190, 'hours': 24, 'stack_value': 13}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #4',
   [{'price': 912, 'hours': 24, 'stack_value': 0}, {'status': 'cancelled'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #1',
   [{'price': 11, 'hours': 12, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 1, 'net': -1}),
  ('fault site duration blocks #2',
   [{'price': 1, 'hours': 12, 'stack_value': 4743}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 711, 'net': -711})],
 [('long cheap listing #1',
   [{'price': 10, 'hours': 48, 'stack_value': 3}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('cancel with bid #1',
   [{'price': 500, 'hours': 24, 'stack_value': 40}, {'status': 'cancelled', 'bid': 390}],
   {'deposit': 12, 'net': -31}),
  ('fault site duration blocks #1',
   [{'price': 11, 'hours': 12, 'stack_value': 0}, {'status': 'expired'}],
   {'deposit': 1, 'net': -1}),
  ('fault site duration blocks #2',
   [{'price': 1, 'hours': 12, 'stack_value': 4743}, {'status': 'cancelled', 'bid': 0}],
   {'deposit': 711, 'net': -711}),
  ('regression duration blocks #1',
   [{'price': 912, 'hours': 24, 'stack_value': 0}, {'status': 'cancelled'}],
   {'deposit': 2, 'net': -2}),
  ('regression duration blocks #2',
   [{'price': 190, 'hours': 48, 'stack_value': 0}, {'status': 'cancelled', 'bid': 99}],
   {'deposit': 4, 'net': -8}),
  ('regression duration blocks #3',
   [{'price': 190, 'hours': 24, 'stack_value': 13}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #3',
   [{'price': 190, 'hours': 12, 'stack_value': 13}, {'status': 'cancelled'}],
   {'deposit': 1, 'net': -1})],
 [('half-up cut boundary #1',
   [{'price': 10, 'hours': 12, 'stack_value': 100}, {'status': 'sold'}],
   {'deposit': 15, 'net': 9}),
  ('long cheap listing #1',
   [{'price': 10, 'hours': 48, 'stack_value': 3}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('regression duration blocks #1',
   [{'price': 190, 'hours': 24, 'stack_value': 13}, {'status': 'expired'}],
   {'deposit': 2, 'net': -2}),
  ('fault site duration blocks #1',
   [{'price': 190, 'hours': 12, 'stack_value': 13}, {'status': 'cancelled'}],
   {'deposit': 1, 'net': -1}),
  ('regression duration blocks #2',
   [{'price': 1, 'hours': 24, 'stack_value': 7}, {'status': 'sold'}],
   {'deposit': 2, 'net': 1}),
  ('regression duration blocks #3',
   [{'price': 30, 'hours': 48, 'stack_value': 7}, {'status': 'expired'}],
   {'deposit': 4, 'net': -4}),
  ('fault site duration blocks #2',
   [{'price': 10, 'hours': 12, 'stack_value': 0}, {'status': 'cancelled', 'bid': 99}],
   {'deposit': 1, 'net': -5}),
  ('regression duration blocks #4',
   [{'price': 912, 'hours': 24, 'stack_value': 0}, {'status': 'cancelled'}],
   {'deposit': 2, 'net': -2})]]
for label, args, expected in cases[N-1]:
    check(label, solve(*args), expected)
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
long cheap listing #1{'deposit': 2, 'net': -2}{'deposit': 4, 'net': -4}Failed
cancel with bid #1{'deposit': 6, 'net': -25}{'deposit': 12, 'net': -31}Failed
half-up cut boundary #1{'deposit': 15, 'net': 9}{'deposit': 15, 'net': 9}Passed
regression duration blocks #1{'deposit': 1, 'net': -1}{'deposit': 2, 'net': -2}Failed
regression duration blocks #2{'deposit': 2, 'net': -2}{'deposit': 4, 'net': -4}Failed
regression duration blocks #3{'deposit': 1, 'net': -1}{'deposit': 2, 'net': -2}Failed
fault site duration blocks #1{'deposit': 1, 'net': -1}{'deposit': 1, 'net': -1}Passed
fault site duration blocks #2{'deposit': 711, 'net': -711}{'deposit': 711, 'net': -711}Passed

SHA-256 / 6af1fdfddd01cb8b1d469dd7c8527d42c2b5a1f63425175be9f592e37bec8878

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 8 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

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Verification & scope

Deterministic toy contract stipulated for this model; integer or exact arithmetic only, not a reproduction of any specific game engine. 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 2026-09-29T14:50:45.410833+00:00.

Case digest / fbda43639bbd81b8d0c6a2877961494d8fc48486a37bd6c86de97211e28b566e