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How Algorithms Using Game Theory Can Increase Prices

A local scenario involving two widget merchants illustrates a complex issue in modern pricing strategies. In this situation, the merchants compete to offer the lowest prices to attract customers. However, this competitive environment leads to slim profit margins. The merchants consider a secret collaboration to raise prices, an act known as collusion. Although this practice is illegal, the drift towards it is increasingly being observed in the age of technology.

Impact of Algorithms on Pricing

The marketplace has evolved with the introduction of learning algorithms. These computer programs adjust prices based on real-time data, significantly impacting pricing strategies. Unlike deep learning algorithms, these simpler models can exhibit unintended behaviors that may complicate regulatory efforts.

Challenges for Regulators

Historically, regulators focused on explicit collusion between sellers. However, learning algorithms execute pricing strategies without any direct communication. A pivotal study from 2019 revealed that algorithms could engage in what is termed “tacit collusion,” learning from one another’s strategies despite not being designed to do so.

In a controlled experiment, researchers observed two learning algorithms increasing their profits by retaliating against price cuts from one another. This resulted in artificially high prices driven by an underlying threat of a price war. Aaron Roth, a computer scientist, emphasized the complexity in determining effective regulatory measures due to the absence of discernible threats among algorithms.

Exploring Game Theory in Algorithmic Pricing

Recent research delves into how game theory can illuminate the intricacies of algorithmic pricing. By simulating pricing scenarios, researchers aim to understand how collusion emerges among algorithms. Joseph Harrington, an economist, explained that these experiments can reveal not only how collusion forms but also strategies to mitigate it.

Equilibrium Strategies in Competition

The dynamics of competitive pricing can be illustrated through a game like rock-paper-scissors. In this context, learning algorithms can evolve their strategies based on opponents’ previous moves. Game theorists describe equilibrium as a state where each player’s strategy becomes optimal in response to the other’s, hindering any motivation for change.

  • Learning algorithms can lead to high prices unexpectedly.
  • Equilibrium strategies are crucial to understanding pricing dynamics.
  • Revealing when pricing is unfair remains a regulatory challenge.

New Insights on Collusion and Pricing Strategies

More sophisticated algorithms, termed “no-swap-regret,” guarantee that players cannot improve their outcome by switching strategies. When two such algorithms interact in a competitive market, they typically reach equilibrium with fair prices. However, these algorithms face challenges when interacting with different pricing strategies.

A study in 2024 aimed to uncover optimal strategies when a no-swap-regret algorithm faces a different kind of adversary. The results indicated that assigning high probabilities to high pricing could become profitable against these algorithms, challenging conventional pricing wisdom.

As the use of algorithms continues to grow in the economy, it highlights the necessity of understanding the mathematical foundations of pricing strategies. Addressing the complexities introduced by algorithmic behaviors is essential for maintaining fair market conditions.

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