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Game Theory Explains How Algorithms Can Drive Up Prices

The Owner Press by The Owner Press
November 23, 2025
in Newswire
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The unique model of this story appeared in Quanta Magazine.

Think about a city with two widget retailers. Prospects choose cheaper widgets, so the retailers should compete to set the bottom value. Sad with their meager earnings, they meet one night time in a smoke-filled tavern to debate a secret plan: In the event that they increase costs collectively as an alternative of competing, they will each earn more money. However that sort of intentional price-fixing, referred to as collusion, has lengthy been unlawful. The widget retailers resolve to not threat it, and everybody else will get to take pleasure in low-cost widgets.

For properly over a century, US legislation has adopted this fundamental template: Ban these backroom offers, and honest costs needs to be maintained. Lately, it’s not so easy. Throughout broad swaths of the economic system, sellers more and more depend on laptop applications referred to as studying algorithms, which repeatedly modify costs in response to new information in regards to the state of the market. These are sometimes a lot less complicated than the “deep studying” algorithms that energy fashionable synthetic intelligence, however they will nonetheless be susceptible to sudden conduct.

So how can regulators be certain that algorithms set honest costs? Their conventional strategy received’t work, because it depends on discovering specific collusion. “The algorithms undoubtedly usually are not having drinks with one another,” mentioned Aaron Roth, a pc scientist on the College of Pennsylvania.

But a widely cited 2019 paper confirmed that algorithms might study to collude tacitly, even after they weren’t programmed to take action. A group of researchers pitted two copies of a easy studying algorithm in opposition to one another in a simulated market, then allow them to discover completely different methods for growing their earnings. Over time, every algorithm discovered by way of trial and error to retaliate when the opposite minimize costs—dropping its personal value by some large, disproportionate quantity. The tip end result was excessive costs, backed up by mutual risk of a value conflict.

Image may contain Head Person Face Happy Smile Body Part Neck Dimples Adult Photography Portrait and Clothing

Aaron Roth suspects that the pitfalls of algorithmic pricing might not have a easy resolution. “The message of our paper is it’s arduous to determine what to rule out,” he mentioned.

{Photograph}: Courtesy of Aaron Roth

Implicit threats like this additionally underpin many instances of human collusion. So if you wish to assure honest costs, why not simply require sellers to make use of algorithms which might be inherently incapable of expressing threats?

In a recent paper, Roth and 4 different laptop scientists confirmed why this will not be sufficient. They proved that even seemingly benign algorithms that optimize for their very own revenue can typically yield unhealthy outcomes for consumers. “You may nonetheless get excessive costs in ways in which sort of look cheap from the surface,” mentioned Natalie Collina, a graduate scholar working with Roth who co-authored the brand new research.

Researchers don’t all agree on the implications of the discovering—loads hinges on the way you outline “cheap.” But it surely reveals how refined the questions round algorithmic pricing can get, and the way arduous it might be to control.



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