Abstract

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. This is not possible because the population of Earth is finite. When the scheme inevitably runs out of new recruits, lacking other sources of revenue, it collapses. Since the biggest terms in this geometric sequence are at the end, most people will be in the lower levels of the pyramid; accordingly, the bottom layer of the pyramid contains the most people. Therefore, a pyramid scheme is characterized by a few people (including the creators of the scheme) making large amounts of money, while subsequent members lose money. For this reason, they are considered scams. These scams exploit the trust and friendship that exists in groups of people. Because of the tight-knit structure of many groups, outsiders may not know about the affinity scam. Victims may try to work things out within the group rather than notify authorities or pursue legal remedies. Affinity scams often involve “Ponzi” or pyramid schemes where new investor money is used to pay earlier investors, making it appear as if the investment is successful and legitimate. With little or no legitimate earnings, Ponzi schemes require a constant flow of new money to survive. When it becomes hard to recruit new investors, or when large numbers of existing investors cash out, these schemes tend to collapse. Ponzi schemes are named after Charles Ponzi, who duped investors in the 1920s with a postage stamp speculation scheme.

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