Markets natural attractlet · § 7.4 · read card by card

Markets

Structure that a crowd produces without any member of it aiming at the structure.

A market looks like the sum of what its participants know: a spread that holds a range, prices that stay bounded, and coordination nobody arranged. It is tempting to read that as intelligence, aggregated. But take the intelligence out, and most of the structure remains. Each of these three panels takes a published market model, removes every trace of judgement, leaving agents that only follow a fixed rule, and checks what survives against a number the original paper computed in advance: the run threshold, the spread’s scaling with order flow, and the location of the phase transition.

Every card here reads the same way, and that is the point of the section rather than a weakness of it. Cut off the flow of orders, of depositors or of traders and there is nothing left: no book, no bank, no game. None of these structures produces its own supply. What separates them is what kind of structure survives that admission. The order book's spread is a statistic of its input, in the way the mean of a thousand dice rolls is a statistic of the dice. The bank run is a genuine second outcome that the same inputs also permit. The minority game's coordinated state is neither: it is a collective phase, with a location on an axis, that the population enters and leaves at a point none of its members can see.

How to read a card

Each card is one published model. Its small tag is an authored reading of that model against the taxonomy map, a teaching device, not a measurement. The kernel says nothing about markets.

Red, natural attractlet · § 7.4: “a naturally-occurring non-recursive structure that exhibits attractor-like behavior under external driving.” All three model cards carry it.

Gold, candidate · reading open: one card, Bitcoin, below the models. Its protocol alone is an attractlet, with its basins written in by its designer. Whether Bitcoin, drawn with the people it pays and recruits, is more than that is left open.

Neither the tag nor the panel reads the simulation. Any program that runs these models is an attractlet model under § 7.4, as on the Lorenz page.

And the direction of the debt matters. Economists and physicists built these three models, published them, and checked them against real exchanges and real bank failures long before this framework existed. The framework did not discover them and takes no credit for them. What it asks is narrower and comes second: what kind of structure is each of these actually producing?

What the panels do claim is arithmetic. Each one reproduces a number from the paper it cites, by an independent route, and shows its working on the page: the optimal deposit contract and the run threshold, the scaling of the spread with the arrival rates, and the location of the phase transition.

The Bank Run

natural attractlet · § 7.4

Diamond and Dybvig's bank has two outcomes at identical fundamentals and nothing in its books decides between them. The contract that makes every depositor better off is the contract that can be destroyed by the belief that it will be. The safest bank is the useless one. Runnable now.

BasinTwo basins, and a threshold between them that you set yourself. Below the tipping fraction the rumour dies in two rounds; above it the bank is gone in three. The optimal contract puts that threshold at 56.1%, and every contract worth having can be run on. The only contract with no run basin at all is the one that offers nothing.
Enter simulation →

The Order Book

natural attractlet · § 7.4

Every order placed at random. Nobody forecasts, nobody reads anything, nobody has a strategy. The book still has a bid-ask spread of a definite size, and the arrival rates predict that size before you run it. Runnable now.

BasinThe weakest reading in the set, deliberately. The spread is not a state the book settles into; it is a running average of the order flow, and it has no basin in the sense the other cards use the word. That is what makes it worth having here: a structure with a size, a stability and a use, which nothing chose and nothing is maintaining.
Enter simulation →

The Minority Game

natural attractlet · § 7.4

Traders who cannot talk to each other, sharing one public record too short to say anything useful. They coordinate anyway, six times better than coin flipping, and stop doing so at a transition whose location was calculated before this simulation existed. Runnable now.

BasinA basin with a coordinate. The other cards in this branch show that a structure appears. This one shows a structure appearing at a specific place on a specific axis: the coordinated phase exists below a critical information-per-trader and not above it, and the panel measures that critical value at 0.338 against a published 0.3374. The traders cannot see the axis and are not trying to be on either side of it.
Enter simulation →

The open reading

a published design, a live simulation, and a question left open

Bitcoin

candidate · reading open

A currency whose creator disappeared and which kept going. Every 2016 blocks it reads its own timestamps and resets its difficulty; every copy of the ledger refuses forged payments. The panel reproduces the white paper's attacker odds, then runs the race and finds the paper's formula was an approximation. Runnable now.

BasinTen minutes a block, held by a rule that reads its own history. Halve the computing power and the blocks slow to twenty minutes, until the next adjustment brings them back. The same issuance that pays the miners recruits new ones when they leave. Its software developers are not paid by the system; they are replaced by people drawn to a currency nobody can shut down, and whether that counts as the system rebuilding itself is where the reading stays open.
Enter simulation →

A reading from outside the models

a live event, no simulation, and a different tag

Data Center Return on Investment

recursive · not sovereign

Spending on AI data centers is running at roughly twenty times the revenue of the companies whose products justify it. AI labs, cloud companies, chip suppliers and utilities each keep the others going, and none of them is running the loop. The page asks what kind of structure that is, and what number would show whether each added watt still pays. A reading, no simulation.

BasinA rule for where money goes. A gain in AI capability is taken as the reason to fund the next round of computing power, so a falling share price or a weak quarter is absorbed and the money comes back. The edge of the basin is one belief: that each added unit of compute and electricity buys capability someone will pay for. That belief can be measured, as capability gained per watt.
Read the page →

The Crash of 2008 Through the Lens of RAPT

recursive · ruptured

The same shape as the data-center reading, but finished. A self-feeding loop in housing finance ran on one belief, that prices would keep rising, looked strongest right before that belief broke, and could not restart on its own when it did. The page tells the crisis plainly first, then reads it as a structure. A reading, no simulation.

BasinA belief that funded itself, until it didn't. Rising prices made lending look safe, which funded more buying, which raised prices again. The edge of the basin was the belief that prices would keep rising. When it broke, the specific loop suffered irreversible loss; the wider system survived only on an outside rescue, which is the tell that it could not stand on its own.
Read the page →

The Autocatalytic Sets of the Financial Markets

recursive · supplied

Four loops that make more of themselves, written out member by member: collateral and leverage, liquidity, deposits, and fund flows. Each one gets its circuit, the outside supply it runs on, the member whose loss stops it, and a dated episode when that member was in fact removed. A reading of published work, no simulation.

BasinFour of them, and each one is fed. Every loop here returns after a knock, and every one of them survives on something it does not produce: a haircut rule, dealer funding, the meaning of a queue, household savings. In three of the four that supplied member is a rule or a public institution, which is where the page ends up: when a market comes back, the question worth asking is which member had gone missing and who put it back.
Read the page →

The Autocatalytic Sets of the Financial Markets, Two

recursive · supplied

What happens to a loop that already closes when one of its members is taken out and a different one put in. The rate that meters credit, the funds that supply short-term money, and the counterparty on the other side of a Treasury trade, each with dates. One of the three is still running. A reading of published work, no simulation.

BasinThe condition names a role, not an occupant. A reaction needs some catalyst, not a particular one, so a member can be swapped wherever the role can be filled twice. What that licenses is narrower than it sounds: the loop rejects a replacement only for failing to close it, never for being worse. One case here is a member removed by rule whose role the replacement could not occupy at all: the money kept reaching banks only by re-routing through an intermediary that was not previously in the circuit, at a higher cost for the same function.
Read the page →

Box and Papers

recursive · supplied

The secondary market in Rolex watches written out as a loop: the waiting list, the grey dealers, the price trackers, the counterfeiters, and the warranty card the street turned into proof of authenticity. Then the maker taking that proof back with its own certified resale. A reading of published work, no simulation.

BasinThe ranking came back and the price did not. Street prices fell hard after early 2022, and the same three brands still hold more than half the secondary market by value. Here the catalyst is made inside the loop, by one member: the card, the record behind it and the certified resale all come from the maker. Drawn around the street, the loop is fed; drawn to include the maker, it is a different candidate.
Read the page →

The two ends of the axis: Living Structures → and Attractlets →.

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