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The Long-Run Evolution of Wealth Inequality under Increasing Investment Freedom, A Multi-Agent Simulation Study

This multi-agent simulation study reveals that the impact of increasing investment freedom on wealth inequality is conditional on household consumption behavior, reducing inequality only when annual consumption remains below a critical threshold of approximately 7% of wealth.

Original authors: Arie Jacobi, Joseph Tzur

Published 2026-08-18
📖 5 min read🧠 Deep dive

Original authors: Arie Jacobi, Joseph Tzur

Original paper licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

For decades, economists have watched countries open their doors to global finance, allowing more people to buy stocks, bonds, and other investments. The logic seemed straightforward: if more people can participate in the market, more people can build wealth, and the gap between the rich and the poor should shrink. This idea rests on a simple belief that access is the great equalizer. However, the real world is messy. In actual economies, people differ in their skills, their starting money, and the laws that govern them, making it nearly impossible to see if opening the markets is the true cause of any change in inequality. To cut through this confusion, researchers needed a way to isolate the specific effect of investment access from everything else. They needed to watch what happens when everyone starts with exactly the same amount of money and the same job, but only some are allowed to invest.

A team of researchers set out to answer this question by building a digital laboratory. Instead of studying real countries, they created a computer simulation of 1,000 people. At the very beginning, every single person in this virtual world had the same amount of wealth and earned the exact same salary. The only difference between them was a policy choice made by the researchers: how many people were allowed to invest their money in the stock market. This "investment freedom" was set to different levels, ranging from just a few people having access to the entire population being able to invest. The researchers then let this virtual world run for 100 years, tracking how the wealth of each person changed over time. They did this not just once, but 26 times, each time with a different sequence of random market returns, to ensure their findings were not just a lucky accident of one specific run.

The simulation revealed a surprising and specific rule that governs whether opening up the market helps or hurts equality. The outcome depended entirely on how the people in the simulation chose to spend their money. The researchers found a clear tipping point, a behavioral threshold that determined the future of wealth distribution. When the people in the simulation spent less than about 7 percent of their total wealth each year, expanding investment freedom worked as expected. As more people were allowed to invest, the wealth gap narrowed. The ability to earn returns on capital spread across a larger group of people, and because they were saving most of their gains, the wealth grew steadily and evenly.

However, the story changed completely when the spending habits crossed that 7 percent line. In the scenarios where people consumed more than 7 percent of their wealth annually, the benefits of opening the market began to fade. If the spending rate went even higher, the effect could actually reverse, leading to more inequality rather than less. The reason is mechanical and direct: when people spend a large portion of their wealth, they have less left over to reinvest. Without reinvestment, the power of compound growth—the process where earnings generate their own earnings—cannot take hold. In these high-spending environments, simply giving more people access to the market does not help them build wealth; it only gives them more opportunities to spend.

The study also uncovered a second, quieter benefit of wider investment access. When more people were allowed to invest, the results became more predictable and stable. In simulations where only a small fraction of the population could invest, the final wealth distribution was highly sensitive to luck; a few people might get incredibly lucky with market returns while others got unlucky, creating wild swings in inequality. But when access was broad, these individual lucky or unlucky streaks were spread out across thousands of people. The randomness of the market averaged out, leading to a more stable and consistent level of inequality regardless of how the market performed in any given year.

This research suggests that the promise of financial freedom is not automatic. It is not a magic switch that instantly fixes inequality. Instead, the outcome is conditional on human behavior. The simulation shows that for investment access to act as a tool for reducing the wealth gap, it must be paired with a culture of saving and reinvestment. If people spend their gains as fast as they earn them, opening the doors to the market may do little to change the long-term distribution of wealth. The study does not claim to have solved the problem of inequality in the real world, nor does it account for taxes, inheritance, or differences in income. But by stripping away those complexities, it offers a clear, fundamental insight: the path to a more equal society depends as much on what people do with their money as it does on who is allowed to invest it.

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