# CorpusFetch Method Slice (Zero-Prose Python Stdlib Reference) # Canonical Residual: https://corpusfetch.com/c/what-bidding-invariants-prevent-multi-agent-auction-price-collapse.md # Remnant Warrant: https://corpusfetch.com/c/what-bidding-invariants-prevent-multi-agent-auction-price-collapse.warrant.json # Markdown SHA-256: d34327088b2f4431b6dfb343eb39d3af5616ec048a891cf7e5f62a62d41cce7c # Code AST SHA-256: 3ec5fa4625953080bb551e4bde91ac8d9b60d030b26b46b8892710259978b46a # Verified Classes: AuctionVerdict, Bid, AuctionState, AuctionPolicy, AuctionManifest, AuctionViabilityGuard # Defensive Guards: 0 fail-closed invariants (zero external deps) from dataclasses import dataclass from enum import Enum, auto import hashlib import json import statistics class AuctionVerdict(Enum): VIABLE_CLEARING = auto() AUCTION_COLLAPSE_RISK = auto() COLLUSION_SUSPECTED = auto() NO_SALE_REQUIRED = auto() @dataclass(frozen=True) class Bid: bidder_id: str bid_amount: float @dataclass(frozen=True) class AuctionState: bids: tuple[Bid, ...] seller_willingness: float reserve_price: float min_distinct_bidders: int min_viable_bid_ratio: float @dataclass(frozen=True) class AuctionPolicy: collusion_variance_threshold: float @dataclass(frozen=True) class AuctionManifest: verdict: AuctionVerdict clearing_price: float | None directive: str manifest_digest: str class AuctionViabilityGuard: @staticmethod def _hash(data: str) -> str: return hashlib.sha256(data.encode("utf-8")).hexdigest() @classmethod def evaluate_auction( cls, state: AuctionState, policy: AuctionPolicy ) -> AuctionManifest: # Gate 1: No bids if not state.bids: return AuctionManifest( verdict=AuctionVerdict.NO_SALE_REQUIRED, clearing_price=None, directive="HALT: No bids. Auction failed.", manifest_digest=cls._hash("NO_BIDS") ) # Gate 2: Bidder count distinct_bidders = len({b.bidder_id for b in state.bids}) if distinct_bidders < state.min_distinct_bidders: return AuctionManifest( verdict=AuctionVerdict.AUCTION_COLLAPSE_RISK, clearing_price=None, directive=f"HALT: Only {distinct_bidders} bidders < {state.min_distinct_bidders}. Requeue.", manifest_digest=cls._hash(f"FEW_BIDDERS:{distinct_bidders}") ) # Gate 3: Viability threshold sorted_bids = sorted((b.bid_amount for b in state.bids), reverse=True) top_bid = sorted_bids[0] viable_threshold = state.seller_willingness * state.min_viable_bid_ratio if top_bid < viable_threshold: return AuctionManifest( verdict=AuctionVerdict.AUCTION_COLLAPSE_RISK, clearing_price=None, directive=f"HALT: Top bid {top_bid:.2f} < viable {viable_threshold:.2f}. Requeue with different parameters.", manifest_digest=cls._hash(f"BELOW_VIABLE:{top_bid:.2f}") ) # Gate 4: Collusion detection if len(sorted_bids) > 2: variance = statistics.variance(sorted_bids) if variance < policy.collusion_variance_threshold: return AuctionManifest( verdict=AuctionVerdict.COLLUSION_SUSPECTED, clearing_price=None, directive=f"HALT: Bid variance {variance:.4f} < {policy.collusion_variance_threshold:.4f}. Possible collusion.", manifest_digest=cls._hash(f"COLLUSION:{variance:.4f}") ) # Gate 5: Viable clearing clearing = top_bid digest = cls._hash(json.dumps({ "bidders": str(distinct_bidders), "top_bid": f"{top_bid:.2f}", "viable_threshold": f"{viable_threshold:.2f}", "reserve": f"{state.reserve_price:.2f}" }, sort_keys=True)) return AuctionManifest( verdict=AuctionVerdict.VIABLE_CLEARING, clearing_price=clearing, directive=f"PROCEED: Clearing at {clearing:.2f} with {distinct_bidders} bidders.", manifest_digest=digest )