Why Most People Lose Money in Pyramid Schemes: ASJ Mathematical & Behavioral Analysis

The Unavoidable Arithmetic of Collapse

The most fundamental reason why pyramid schemes are designed to make most participants lose money is not hidden in fine print or legal technicalities—it is baked into their mathematical structure. Unlike legitimate businesses that generate revenue through sales to external customers, pyramid schemes generate revenue primarily through recruitment. This creates an unavoidable geometric progression that eventually exceeds the available population, causing the scheme to collapse.

A peer-reviewed study in the Journal of Business and Social Development and The High Street Business constructs a mathematical model of a typical pyramid scheme where each participant recruits three new members . Under this model, the number of participants at each level grows exponentially:

The formula for this growth is geometric: the number of recruits at any level equals 3n−13n−1. The total number of participants after n levels is calculated as 3n−1223n−1​ .

The Global Population Ceiling

Applying this formula to the entire global population (approximately 7.95 billion people) reveals a stark reality. The maximum possible levels of such a scheme before exhausting the world’s population is just 21 levels . At the 21st level, approximately 5.23 billion people—about 65.78% of the entire world population—would need to be involved just to sustain payments to all members .

This is, of course, impossible. In reality, the “bubble bursts” long before reaching the 21st level because:

• Not every recruited person actively recruits others

• Not everyone persuaded to join remains committed

• The pool of available recruits shrinks dramatically with each level 

Why the Bottom Layer Always Loses

The mathematics reveals why losses are concentrated at the bottom. The number of people who lose money equals the number at the most recent level—the largest group. The formula shows that the probability of losing money in such a scheme is approximately 66.67% . As the Wikipedia entry on pyramid schemes explains, “the bottom layer of the pyramid contains the most people… when the scheme collapses, members in the bottom layers did not have any opportunity to profit from the scheme; still, they have already paid to join” .

The Two-Thirds Probability Problem

The mathematical model demonstrates that regardless of how the scheme is structured, the inherent geometric progression guarantees that the majority of participants—approximately two-thirds—will be in the bottom layers when collapse occurs . These participants pay their money but never receive the promised returns because the scheme collapses before their position in the pyramid becomes profitable.

This is not a failure of execution; it is a feature of the design. As Wikipedia notes, “the behavior of pyramid schemes follows the mathematics concerning exponential growth quite closely. Each level of the pyramid is much larger than the one before it. For a pyramid scheme to make money for everyone who enrolls in it, it would have to expand indefinitely” .

The “Infinite Market” Fallacy

All pyramid schemes and Multi-Level Marketing (MLM) programs operate on a fundamental assumption that is false: that markets are infinite and virgin. As financial analyst Dr. Jon M. Taylor has written, “All MLMs assume infinite and virgin markets, which don’t exist in the real world. All depend on unlimited recruitment of a network of endless chains of participants as primary customers” .

This assumption contradicts the reality of finite populations, finite social networks, and finite recruitment capacity. A study of MLM participation found that approximately 99.7% of all MLM participants lose money after accounting for expenses . The LinkedIn analysis of MLM structures notes that “if each person must recruit just 6 others, by the 13th level, you would need more people than exist on the planet” . This mathematical impossibility is not theoretical—it is deterministic.

The Transition from Investment Scheme to Criminal Enterprise

When pyramid schemes operate in the investment space rather than the product sales space, they become even more clearly fraudulent. In Ghana, the Securities and Exchange Commission (SEC) has flagged entities like Mekanism Marketing Ltd, which used a “Job 1 to Job 10” task-based system to lure victims with promises of fixed daily returns .

The SEC described such promised returns as “not only unrealistic but structurally unsustainable, characteristic of classic Ponzi schemes that rely on new deposits to pay off older investors” . The SEC noted that by operating without a valid licence, such entities expose investors “to total loss with no legal recourse through the regulator’s protection funds” .

The QNET Model and Recruitment Exploitation

The QNET case in Ghana illustrates how pyramid structures, even when wrapped in product sales, lead to widespread financial loss. In 2024, police arrested 487 individuals allegedly linked to QNET, which had been misusing its name and products to lure victims . The Attorney-General’s Office has documented how such schemes encourage victims to recruit others through “networking and referral systems”—the hallmark of pyramid operations .

The $15.19 Million Crypto Fraud Case

The Economic and Organised Crime Office (EOCO) recovered $15,191,730.13 from a Chinese-Malaysian criminal network that operated a pyramid scheme disguised as e-commerce and trading investments . This scheme, which operated since 2019, used a classic pyramid structure where victims were encouraged to recruit others and were offered VIP investment packages ranging from GH₵770 to GH₵9,240 .

The Attorney-General explained that the “criminals developed attractive flyers to promote fraudulent investment and categorized the investment into classes… depending on the package, the price would enhance or increase” . Victims were told they would make “fantastic earnings” by operating trading accounts, owning online shops, and trading on the company’s platform—none of which existed .

The Scale of Losses in Ghana

The problem of pyramid scheme losses in Ghana is not small. In 2024 alone, the Cyber Security Authority recorded 149 online investment fraud cases, with losses totalling GH₵1.99 million—nearly a three-fold increase from 2023 . In 2018, Bank of Ghana data revealed that 119,300 victims lost GH₵59.6 million to just four Ponzi schemes, excluding the Menzgold case .

These numbers represent real people, real savings, and real economic damage. They also represent only reported cases—the true scale is likely larger.

Psychological Exploitation and the Sunk Cost Fallacy

Beyond the mathematical collapse, pyramid schemes exploit human psychology to keep participants invested even as losses accumulate. The LinkedIn analysis describes how schemes use “cult-like tactics—love bombing, isolating you from ‘negative’ friends and family, and fostering an ‘us vs. them’ mentality” . This creates what is known as the sunk cost fallacy: the more money and time participants invest, the harder it becomes to admit they have been fooled and walk away.

This psychological exploitation is deliberate and systematic. The same analysis notes that the MLM industry employs “large legal teams to structure their compensation plans just enough to avoid the legal definition of a ‘pyramid scheme'” while maintaining the core recruitment-based revenue model .

The Victims Are Not Fools

A crucial point: those who lose money in pyramid schemes are not unintelligent. They are often professionals, business owners, and educated individuals who were presented with convincing pitches, fake testimonials, and carefully constructed appearances of legitimacy. In the Mekanism Marketing case, the scheme used “aggressive social media advertisements” and a structured task-based system to appear legitimate .

The Attorney-General’s Office noted that victims of the crypto fraud scheme were presented with “attractive flyers to promote fraudulent investment” and were given instructional videos on how to make payments using virtual currencies . The scheme was sophisticated, not obvious.

Why Most People Lose: The Summary

Conclusion: Built to Fail

Pyramid schemes are not poorly executed legitimate businesses that occasionally fail. They are mathematically designed to fail for the vast majority of participants. The geometric progression that makes early participants profitable is the same geometric progression that guarantees collapse for later participants. This is not a flaw in the model—it is the model.

As the SEC has warned, the promised returns are “unrealistic and unsustainable, bearing characteristics of a fraudulent scheme designed to lure unsuspecting investors” . When the pipeline for fresh deposits dries up—as it inevitably must—the scheme collapses, and those who joined last lose their money.

The most important protection against pyramid schemes is understanding this mathematical reality. If an opportunity requires you to recruit others to make money, and if the compensation structure rewards recruitment more than actual sales to external customers, you are not joining a business—you are entering a mathematical trap designed to transfer your money to those above you.

The numbers do not lie. The pyramid always collapses. And when it does, the bottom layers—where most people stand—are crushed.

Source: Accra Street Journal 

Last Updated on June 10, 2026 by Samuel Kwame Boadu

Samuel Kwame Boadu

Samuel Kwame Boadu is a Ghanaian media entrepreneur and storyteller with a passion for amplifying urban voices and uncovering everyday truths. He is the Editor-in-Chief and Founder of Accra Street Journal, a dynamic digital platform dedicated to capturing the pulse of Ghana’s capital—its people, culture, challenges, business, sports and innovations.

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