When people sell assets at a loss in a downturn, the dominant behavioral account — prospect theory — locates the pathology in the seller's mind: a reference point, a kink, loss aversion. The companion paper (wp32) relocates it to the seller's balance sheet. The distinction is not semantic. One diagnosis prescribes investor education; the other prescribes liquidity — and only the second moved markets when tested at scale. It matters ethically because it changes who is held responsible for the loss, and what intervention counts as just. Verified
Take agents with entirely standard preferences (no kink, no reference point) who hold an asset while carrying a non-deferrable commitment \(\bar c\) — rent, mortgage, food — whose breach carries a default cost \(\chi\) (eviction, foreclosure). Let the asset have retention value \(v>0\), and let the shortfall be \(g=\bar c-(\text{cash}+\text{income}+\text{credit})\). Keeping the asset pays \(v-\chi\,\mathbf 1\{g>0\}\). Selling at price \(p\) pays \(p-\chi\,\mathbf 1\{0 Urgency is the value of an extra dollar of liquidity. In a smooth version of this problem it is the multiplier \(\lambda\) on a liquidity constraint that includes asset sales and default as choices: \(\lambda>0\) implies the constraint binds, and a shortfall before those choices does not by itself establish it. A forced sale is a sale that happens with \(g>0\) and would not happen with \(g\le 0\), \(v\) and \(\chi\) held fixed. That a fitted loss-aversion parameter absorbs the clustering of forced sales in the loss domain is a further empirical claim, argued in the companion paper and not established here. Open This is the ethical crux stated as mathematics: the harm is invisible in the standard data, and a plausible-but-wrong story — bad investor psychology — is always available to explain it away. Hold that sentence; the digital turn is built on it. Forced sales are not isolated. With limited arbitrage, price satisfies \(p = \mu - \kappa S\), where forced supply \(S\) itself rises as price falls (margin, collateral, refinancing). The loop yields amplification a local price multiplier for \(0\le\rho<1\) that grows without bound as \(\rho\to 1\). Fire-sale discounts can occur below that point, and a discontinuous low-price equilibrium needs a nonlinear supply schedule that is not specified here. The mark-to-market loss is borne by all holders, not only the shocked fraction \(f\). Model The amplification is the crisis; the shortfall is only its seed. The same mechanism supplies a concrete micro-foundation for \(r > g\): those forced to sell into the trough transfer wealth to those liquid enough to buy it, every cycle. Model Everything above is a documented, pre-digital mechanism. The reason it belongs at a digital-ethics forum is what algorithmic credit does to it. Modern AI credit and marketing systems ingest high-frequency behavioral and financial signals — cash-flow volatility, missed-payment precursors, app and search behavior, the calendar of obligations. In the model's language, they estimate \(\lambda\) in real time, per person. The state that Theorem 1 proves is latent to the regulator becomes an observable to the lender. That single asymmetry — \(\lambda\) visible to the pricing system, invisible to oversight — converts a diffuse, ambient wealth transfer into a targeted, timed, and deniable one. Prospective The model names its own remedy, and it is not "educate borrowers." Two levers. Make \(\lambda\) observable to oversight. Because the entire harm rides on an asymmetry of visibility, the governance target is auditability: mandated logging of the features and the timing that drive an offer, so distress-conditioning can be told apart from risk-pricing after the fact. This connects to a broader program of mine on verifiable, auditable AI — machine-checked guarantees about what a decision actually depended on — as a governance instrument rather than a compliance afterthought. Prospective Bridge liquidity — the seed. If small, timely transfers set forced supply to zero, the just and efficient intervention sits upstream of the sale, not downstream of the loss. The policy object is the shortfall, not the "irrational" seller. Model This is a summary of completed work, deposited and citable, grounded additionally in the author's years on the sell side as a registered representative — where the demand this machinery serves ("the best return, in the fastest time, with the least risk") is stated in a sentence and satisfied by no asset, only by payoff shapes engineered to appear to satisfy it. Two lines I hold, and that a digital-ethics venue should demand. The base mechanism — non-identification, cascade, the seed, the \(r>g\) micro-foundation — is argued from theory and macro evidence (1971–2026) and is the settled contribution. Verified The algorithmic-amplification claim — that AI credit systems already estimate and price on \(\lambda\) — is a prospective governance argument: the capability plainly exists; comprehensive public evidence of its deployment is still Open, and I flag it rather than assert it. Separating the two is itself the method: the paper models the exact blind spot — a real harm a plausible wrong story can hide — and then refuses to commit the same overreach in its own claims. Full working paper: "The Response Gap" — the formal version, with the evidence-and-identification section and the measurement agenda — is deposited at 10.5281/zenodo.21752834. 3 · Theorem 1 — non-identification (the blind spot)
4 · Theorem 2 — cascade and the seed
5 · The digital turn — what AI changes
6 · Governance by observability
7 · Contribution, status, and an honesty line
Read next: wp32 · The Forced Urgency Gap (the theorems in full) · wp27 · The Ethics of Algebra.
Keywords: algorithmic credit · liquidity constraints · identification · wealth transfer · auditable AI · GELSI · fair lending · r>g.