Pyramid Schemes Explained: The Math Behind Gifting Circles and MLMs

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A friend invites you to a gifting circle: put in $100, bring two people, and be blessed with $800. It sounds like mutual aid, but it is a pyramid scheme, a model in which money comes from recruiting rather than from selling anything to outside customers. This episode works through the arithmetic that dooms every version. If each member must recruit six people, the 12th layer holds 2.2 billion participants, and the 13th would need 13.1 billion more, which is more people than exist. The bottom layer always holds the majority, and it is mathematically guaranteed to lose.

Because the math is so plain, the schemes survive on disguise. The eight ball model hides behind names like the airplane game, the dinner party, Women Empowering Women, and the blessing loom, which bends the pyramid into a mandala. The episode also separates pyramids from Ponzi schemes, explains matrix schemes and the FTC test for multi-level marketing, and follows the damage from Ireland and Colombia to Thailand and Albania, where collapsing schemes helped bring down a government.

• In the airplane game, eight passengers each pay the captain, the board splits in two, and the organizer fills the first seven spots with fake names to collect the early payouts.
• By the time an airplane game runs 10 levels deep, the loss rate is 87 percent.
• The FTC sued Burn Lounge in 2007 for hiding a pyramid behind digital music sales, and Vemma Nutrition Company agreed to a $238 million settlement after a 2015 suit.
• Colombia declared a state of economic emergency in November 2008 after schemes affecting over 400,000 families collapsed and riots followed.
• In Albania in 1997, scheme liabilities reached nearly half of GDP, and the collapse fed civil unrest in which armories were looted and thousands died.