Work, automation & the majority vote
When AI does the work,
what should happen to the job?
Suppose mathematicians’ work is automated first. Keep their jobs, change their pay or let them go? Test rules that also apply when the next occupations are affected.
1,000 self-interested US voters. Each considers ten years of their own income. A simplified model, with adjustable assumptions.
The selected policy
Employer
Comparing employment choices
Government
Comparing income support
What workers take home
Income after tax, including employer pay, benefits, dividends and capital income. Before AI = 100.
Read the chart as a table
| Year | Affected roles | Productive roles | All workers |
|---|
The foreign response
Compare alternatives
Would US voters change a decision?
Each row changes one decision. The others stay fixed. A change needs 501 votes.
| Decision | Strongest alternative | Votes to switch |
|---|
Income and output in year ten
Starting values = 100. Policies can change several decisions together.
| Policy | Workers | Owners | Output | 10-year benefit |
|---|
Try your own US policy
Choose the employer rule, government floor and both household taxes. US deployment and the foreign policy stay fixed.
Follow the money in year ten
Annual resource units; starting US output = 100. Transfers change who receives income.
Voting details and tie-breaking
About the model
The rules change
the answer.
Workers keep their vote after losing a job. They vote for the policy that improves their own expected income, including the cost of weaker investment. “Mathematicians first” describes the thought experiment; the model does not predict which profession comes next.
Voting and international competition
The US has 1,000 voters. Job protections, the income floor, the worker-household tax and the owner-household tax have separate ballots. A policy is stable when no single change can win 501 votes while the other decisions stay fixed. A package that changes several decisions together may still win.
Each voter is perfectly rational and self-interested. Voters know their order of exposure and compare ten years of expected income, discounted by 3% a year. Logarithmic utility makes an income loss more costly when income is already low. A 1% offset keeps utility finite at zero income; it adds no money to the budget. Job retention has no separate value beyond its income.
In international mode, the rest of the world acts as one decision-maker. It chooses its own complete policy, including AI deployment, to maximize the objective you select. A stable result requires both US ballot stability and a foreign best response. It does not require the foreign policy to win a US vote.
There may be several stable results or none. Voting details show the selection rule and any remaining challenge. An unstable fallback is not an equilibrium. Policies are fixed for ten years; repeated elections and renegotiation are outside this model.
Employer pay, benefits and taxes
Employers can lay off workers or retain obsolete roles at 50%, 100% or 125% of the starting wage before tax. These roles add no output. Employer payments come from capital income; finding new productive work is a separate transition.
The government can set a floor of 0%, 50% or 100% of the starting wage after household tax. It pays only the gap left by employer pay. A worker retained at full salary with a 50% worker tax keeps half that salary; a full income floor would require a government top-up of the other half.
The worker-household tax reaches wages, retention pay and worker-owned capital. The owner-household tax reaches the remaining owners’ capital income. Each rate can be 0%, 50% or 100%. Government transfers are exempt. Receipts fund the income floor first, then an equal dividend for every household, including owners. The floor excludes capital income and this dividend.
Employers and governments can run out of money. Voters compare actual payments after shortfalls. The equal dividend is an assumed spending rule. The policy menu does not reproduce the current US tax and benefit system.
Economic assumptions and limits
Starting US output is 100: 60 goes to labor and 40 to capital. Workers receive all labor income and their chosen share of capital income. Changing the worker-owner ratio divides these starting incomes among different numbers of households.
International defaults use relative GDP and bilateral trade exposure. Both economies share the household mix, capital ownership and behavioral assumptions set by the sliders; their economic size, import exposure and frontier capability can differ. AI gains, displacement, return to work and responses to taxes remain adjustable assumptions. Zero foreign frontier capability leaves the foreign economy and its imports in place.
Taxes and required employer pay can slow AI investment and reduce productive effort. They can also erode existing capital capacity through an assumed 5% annual renewal requirement. This rate is a modeling choice, not an estimate from the cited data.
This is a finite policy comparison, not a full model of the world economy. It does not solve market prices, demand, debt, firms’ investment decisions or individual labor supply. It omits lobbying, monetary policy, AI safety and military outcomes. Changing the policy menu or voting procedure can change the result.
Equations and calculation method
Why the pirate game?
The pirate puzzle asks who can win enough votes to divide a fixed treasure. Automation changes how much is produced and who receives it. This simulator keeps the voting question and adds production, employment and government payments.
Sources & credits
Data and
inspiration.
Inspired by Nuño Sempere (@NunoSempere) and Humans on AI #53, September 15, 2026.
World economy data used for the defaults
The World Bank’s 2025 figures put US GDP at $30.77 trillion and the rest of the world at $87.58 trillion, a ratio of 2.846. Its population figures are 341.8 million and 7.874 billion, a ratio of 23.037. Market size uses GDP, not population. Population is shown here for context and does not change the selected policies. Displayed reference values are rounded; calculations retain their full precision.
The BEA’s 2025 trade figures (page 4) give US imports of $4.362 trillion and exports of $3.430 trillion. Imports from the other actor are 14.18% of US GDP and 3.92% of foreign GDP. These are bilateral exposure measures; trade within the foreign bloc is excluded.
The Stanford AI Index 2026 records 59 notable models from the US and 35 from China. This supports including foreign frontier development. Model counts do not measure relative productivity or the response to taxes.
Research behind the economic mechanisms
- Daron Acemoglu and Pascual Restrepo, “Automation and New Tasks” (2019)
Productivity, displacement and new tasks are separate mechanisms.
- IMF, “Broadening the Gains from Generative AI: The Role of Fiscal Policies” (2024)
Income support, capital taxation and international constraints on taxing mobile profits.
- João Guerreiro, Sergio Rebelo and Pedro Teles, “Should Robots Be Taxed?”
Tax choices depend on workers’ ability to adjust. This simulator uses household taxes, so its rates cannot be read as the paper’s robot-tax results.
- OECD Employment Outlook 2018, chapter 4
Unemployment support, wage insurance and schemes that preserve employment.
- Ian Stewart, “A Puzzle for Pirates” (1999)
The voting puzzle behind the analogy.
The income rules and behavioral assumptions are this page’s own. The sources do not endorse its results.