A field report from an artificial economy · Wealth vs inequality

Bigger and Fairer

Does a richer economy have to be a less equal one? 2,080 simulated 20-year histories, thousands of simulated households each, with Extreme AI as the central case and ordinary central-bank money throughout.

Extreme AI as the base case The efficient frontier Who owns the gains A parameter recipe

The short answer: no trade-off at the top

It is easy to make everyone equal by making everyone poor, and the simulator confirms it. The question is whether you must give up wealth to get equality once the economy is rich. Under Extreme AI the answer here is no. The largest economies in these runs come in every shape. Output stays between 292× and 295× today while the wealth Gini ranges from 0.14 to 0.75. Across all 96 Extreme-AI settings, the more equal ones tended to be bigger, not smaller (rank correlation between output and wealth Gini: -0.65). The one place wealth and inequality rise together is the AI level itself: going from no AI to Extreme AI multiplies output and, unless the rules change, concentrates wealth.

Where the numbers come from

  • Runs 20 seeds per setting, 500 households, 50 firms, 3 banks, 240 months, fiat money with the central bank at app defaults. Figures are medians across seeds; ranges are the 10th–90th percentile. “Year 20” is the last 12 months.
  • Spot check Key settings rerun at the app’s full scale (4,000 households, 200 firms, 4 banks), 4 seeds each.
  • Live app buttons open the deployed simulator with the same settings and 10 seeds. Press Run.

What “wealth” and “inequality” mean here

  • Size of the pie: real output (GDP) in year 20 as a multiple of today’s. Consumption is shown as a multiple of today’s median household consumption.
  • Inequality: the app’s wealth Gini, plus top-1% and top-10% shares computed from every household’s deposits and claims on firm capital.
01
The map

Wealth vs inequality: the frontier is flat

Every setting tested is a dot below. The gold line is the efficient frontier: settings no other setting beats on both size and equality, all with inflation under 5%. It runs almost horizontally across the top. Moving left along it, from 0.75 to 0.14, costs less than 1% of output.

Each dot is one setting (median of 20 runs). Up = bigger economy, left = more equal.1.02.05.01020501002000.200.400.600.801.0Wealth Gini in year 20 (0 = everyone equal, 1 = one household owns everything)Real output in year 20, × today (log)No AINo AI grantPure capitalismSubstantial AIExtreme AI, app defaultsEveryone poorRecommended mixFrontierInequality leversGrowth leversCombinationsPure capitalismNo AI

Everyone poor

1.1× output
No AI, no productivity growth. Wealth Gini 0.56. The median household consumes 0.89× today’s median. Equal-ish, and stagnant.

Pure capitalism

147× output
Extreme AI, every growth lever maxed, ownership concentration 0.99, no AI grant, wide skill spread, 10% tax. Wealth Gini 0.92, top 10% hold 98%. The median household consumes 0.65× today’s median: poorer than now.

Recommended mix

294× output
The same growth levers plus broad ownership (0.1), a 50% AI grant and a narrow skill spread (0.1). Wealth Gini 0.16, top 1% hold 2.2%. The median household consumes 378× today’s median.

Pure capitalism is not the richest corner: the recommended mix doubles its output. The poorest 40% show the pattern even more sharply: their consumption tends to be highest where inequality is lowest.

The poorest 40% by setting1.0101000.200.400.600.801.0Wealth Gini in year 20Poorest 40%: consumption, × today’s median (log)Pure capitalismExtreme AI, app defaultsRecommended mixEveryone poor
Takeaway

Low inequality with low wealth is one corner, not a law. Once the AI is in place, the size of the pie and the evenness of the slices are almost independent, and where they interact, evenness helps.

02
Why fairness grows the pie here

Someone has to be able to buy what the agents make

Under Extreme AI about half of households have no job and wages are a sliver of income. In these runs output follows household spending power. The AI grant (government.ubiShare) pays a share of the AI slice of output equally to every household. Switch it off and output stalls at about 63× today in all 20 seeds, the median household consumes 0.47× today’s median, and the top 1% hold 77% of wealth. At the 25% default, output reaches 114×; at 50% or more it levels off at about 125×. With growth levers maxed and broad ownership, the same dial takes output from 147× to 294×.

Real output, × today0100200300025% (default)50%75%100%AI grant (ubiShare)Extreme AI+ growth maxed, broad ownership
Wealth Gini0.00.20.40.60.81.0025% (default)50%75%100%AI grant (ubiShare)Extreme AI+ growth maxed, broad ownership

No inflation cliff. Bigger grants did not push prices up. Across every Extreme-AI setting, median inflation stayed at or below 0.5% a year, and no single run exceeded 1.2%.

Takeaway

In this model the grant is not a slice taken from the pie. It is what lets the pie be baked.

03
Ownership concentration

Flatten the profit tilt and both measures improve

Profits and claims on firm capital are split in proportion to skill raised to a power: 1.5 plus ai.ownershipConcentration × (AI factor − 1). Under Extreme AI the AI factor ends near 17.5, so the default 0.8 gives an exponent of about 15. Profits flow to a handful of the most-skilled households. At 0.1 the exponent is about 3.1. The top 1%’s share falls from 66% to 19%, the wealth Gini from 0.88 to 0.71, and output rises from 114× to 127×. That fits the spending-power pattern in section 02: more of the profit reaches households who spend it.

Ownership concentration dose-response (Extreme AI)0501000.10.20.40.60.8 (default)0.99ai.ownershipConcentrationTop 1% share of wealth, %Wealth Gini ×100Output, × today
Takeaway

Lowering ownership concentration is the one lever that improves every measure in every test.

04
Skill spread and the tie effect

A slightly narrower skill spread can make things worse

Skills are drawn from a lognormal spread (household.skillSigma), capped, then scaled so the average is 1. With the default steep profit tilt, the rule is “most skilled takes nearly all”, so what matters is how many households share the top. At the default 0.7, about 5 households tie at the cap and split the profits. At 1.1, 36 tie, so the top 1% hold only 15%, but the top 10% still hold 86%. At 0.3 or 0.5 nobody ties: one household stands alone at the top and takes 41–66% of all wealth. Output falls to 101× and 83×, the same spending-power pattern again. Only at 0.1, where even the top household is barely above average, does the spread truly compress wealth (Gini 0.56, output 126×).

Top 1%’s share of wealth, %0%20%40%60%80%100%0.10.150.20.30.50.71.1household.skillSigma (0.7 = default)Default ownership (0.8)Broad ownership (0.1)
Real output, × today0501001500.10.150.20.30.50.71.1household.skillSigmaDefault ownership (0.8)Broad ownership (0.1)

With broad ownership (0.1) the tie effect disappears. Narrowing the skill spread then lowers the wealth Gini steadily (0.72 at 1.1 to 0.17 at 0.1), and output stays at 126× throughout. In the real world this lever stands for broad access to education and tools, not a policy switch.

Takeaway

Lower the ownership concentration first. After that, a narrower skill spread helps at every step.

05
Taxes, bonds and the grant

Funding the grant with taxes concentrates wealth

One working hypothesis was that a bond-financed grant leaks back to the rich through bond coupons (paid to banks and passed on to large deposits), so the income tax should rise with the grant. The runs say otherwise. Setting the bond rate to zero removes the coupons and barely changes anything. Raising the tax to fund the grant leaves everyone’s consumption the same but pushes wealth inequality back up.

100% AI grant (Extreme AI)Wealth GiniTop 1%Poorest 40% consumeBonds, × a year’s GDP
Tax 20% (default)0.6241%67×3.0
Tax 20%, bond rate 0 (no coupons)0.6143%68×2.7
Tax 35%0.6948%69×1.8
Tax 50%0.8770%68×0.6

Why. A bond-financed grant leaves new money in every household’s account, so savings spread widely. A tax-financed grant takes the same money back out of household incomes, the treasury surplus is returned in proportion to income, and more of what is left of household wealth is claims on firm capital, which are concentrated (claims are 11% of household wealth at a 20% tax, 38% at 50%). The income Gini is 0.50 in every row: only who holds the savings changes. Raising the flat tax with the grant at its 25% default is worse still: at 35% the top 1% hold 83% (default 66%).

The price is public debt. Bonds held by banks reach 3.0× a year’s output at a 100% grant, against 0.8× at the defaults. The recommended mix stays at 0.9×. These runs show no inflation from this debt; a real economy might react differently.

Takeaway

The equal grant does the compressing. A flat tax with income-proportional rebates works against it.

06
Growth levers

A few levers set the size; most are already maxed out

Base productivity growth is the strongest growth lever: 4% a year takes output from 114× to 213×. Falling compute prices are essential: if the price of compute stops falling, Extreme AI never takes hold and output reaches only 2.9×. Compute productivity, the final automatable share and adoption timing also matter. Adoption steepness, the physical-task limit, robotics timing and a faster agent-cost half-life barely move output, because Extreme AI already saturates them.

Real output in year 20, × today, one growth lever at a time (Extreme AI)0×100×200×ExtremedefaultsGrowth0%Growth4%Computeprice flatCompute−60%/yrComputeprod. 0Computeprod. 2Autom.end 70%Adoptionyear 8SteeperadoptionPhysicallimit 0Cost half-life 6 moAllmaxed

All growth levers maxed together give 234× with a wealth Gini of 0.86 (defaults: 0.88). They don’t steepen the profit tilt in these runs: the AI factor ends near 17.7 either way. Growth levers enlarge the pie but don’t touch the slices.

Takeaway

Keep compute prices falling and productivity growing. Then use the distribution levers to decide who gets the gains.

07
Three households

All three do better in the fair mix than under pure capitalism

One representative run (seed 11). The owner is the wealthiest household in year 20 under Extreme AI defaults and starts among the most skilled. The median family sits mid-pack on skill, starting wealth and final consumption. The struggling household started in the bottom 40% and ends near the bottom in consumption. The same households are traced through each world. In the recommended mix their skills are closer together, so the owner starts less far ahead.

Year-20 consumption, × today’s medianEveryone poorPure capitalismExtreme defaultsRecommended mix
Owner6.4×208×8,532×638×
Median family0.87×0.67×27×402×
Struggling household0.76×1.08×22×305×
Pure capitalism: consumption, × today’s median1.0101001,00010,00005101520yearsOwnerMedian familyStruggling household
Recommended mix: same three households1.0101001,00010,00005101520years

Under pure capitalism the median family consumes less than today, and the owner shares the top with about 36 tied households in an economy half the size. In the recommended mix all three end up hundreds of times richer than today’s median household. Only the Extreme-defaults owner does better, by taking most of a smaller pie.

08
The recipe

Max the growth levers, then spread ownership and pay the grant

Recommended settings (Extreme AI, fiat)

ai.ownershipConcentration0.1Cuts the profit-tilt exponent from about 15 to about 3. The biggest single equality gain, and output rises.
government.ubiShare0.5Brings output to its plateau. 0.75–1.0 trims the Gini a little more (0.14 at 1.0) but raises public debt to 2.3× GDP.
tax.incomeRate0.2 (keep)Raising it concentrates wealth.
household.skillSigma0.1 (≤ 0.2)Only after ownership is broad. 0.3 still gives Gini 0.36.
productivity.baseGrowth0.04The strongest growth lever.
ai.computeCostDeclineRate
ai.computeProductivity
ai.automatableShareEnd
adoption and robotics
high / earlyCompute must keep getting cheaper. The rest are near saturation under Extreme AI, so maxing them is harmless.

Result: output 294× today (99.8% of the largest economy tested), wealth Gini 0.16, top 1% 2.2%, median household 378× and poorest 40% 301× today’s median consumption, inflation 0.1%, bonds 0.9× GDP.

How the working hypotheses fared

HypothesisVerdictEvidence
Lower ownership concentration cuts inequality without shrinking the pieHeldGini 0.88 → 0.71; output 114× → 127×.
A bigger AI grant redistributes the boomHeld, and moreIt also grows the boom: 63× with none, 125× at 50%.
Bond coupons leak the grant back to large balances, so raise the tax with itDidn’t holdNo coupons: Gini 0.61 vs 0.62. 50% tax: Gini 0.87.
The flat tax alone doesn’t compress the distributionHeldIt widens it: top 1% 83% at a 35% tax.
Lower skill spread cuts inequality, output unchangedPartlyTrue at 0.1, or at any value with broad ownership. At default ownership, 0.3–0.5 raises the top 1% to 76–84% and cuts output to 83–101×.
The listed growth levers raise wealthPartlyBase growth, compute price decline, compute productivity, automatable share and adoption midpoint do. Steepness, physical share, robotics timing and agent-cost half-life are saturated under Extreme AI.
Growth levers steepen the profit tiltDidn’t holdThe AI factor ends near 17.5 with or without them; Gini 0.88 vs 0.86.

Checks and limits

Full-scale check. At 4,000 households, 200 firms and 4 banks (4 seeds each): Extreme defaults 122× output, Gini 0.87; no grant 62×; pure capitalism 143×, Gini 0.92; recommended mix 286×, Gini 0.17, inflation 0.1%; with skill spread 0.3 286×, Gini 0.36.
Model, not forecast. Results follow the simulator’s rules: profit claims weighted by a power of skill, a flat tax with income-proportional rebates, and a grant tied to the AI slice of output. Under different ownership rules, different households would get rich.
Wealth measure. Household wealth is deposits plus claims on firm capital. Part of the deposits under a large grant are the counterpart of government bonds, which is why the debt line is reported next to it.
Derived measures. Top 1%, poorest 40% and the three households come from yearly snapshots of every household in each run, taken without changing the simulator.