Article: The Mathematics of Regulatory Fragmentation

This study explores the rapidly evolving landscape of state-level digital platform regulation in the United States and uncovers a surprising mathematical dimension to how overlapping laws impact technology design, compliance costs, and market dynamics.

MATHEMATICS OF REGULATORY FRAGMENTATION

🔍 What the Research Explores

State governments have introduced a patchwork of social media safety laws that impose technical mandates on online platforms — especially aimed at enhancing user protections such as youth safety. While well-intentioned, these regulations do not simply add compliance costs as jurisdictions pile on more rules. Instead:

  • Each new state requirement interacts with every other, creating multiplicative — not additive — technical burdens for platforms.

  • This exponential growth in complexity stems from a combinatorial reality: as more distinct regulations are introduced, the number of potential conflicts and design constraints multiplies rapidly.

  • Smaller platforms and new market entrants are particularly disadvantaged, as they face disproportionately high engineering and operational costs to satisfy conflicting rules across jurisdictions.

  • Ironically, regulatory fragmentation may also undermine the very safeguards these laws are meant to provide, by incentivizing workarounds and fragmenting the user experience.

📌 Why It Matters

This research highlights a critical, often overlooked dimension of digital policy: the interactions between laws matter just as much as the content of the laws themselves. By applying mathematical reasoning to regulation, this work provides policymakers, researchers, and technologists with a new lens for assessing the real-world effects of decentralized digital governance.

The paper contributes to debates on platform regulation, digital governance, and the economics of compliance: topics that are central to recent legislative efforts across the U.S. and around the world.

📥 Read the Paper

The full paper (58 pages) is available on SSRN.

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