The heuristic trading rules used by Wall Street professionals for 40 years are actually rigorous mathematical laws derived from stochastic inventory systems.
April 25, 2026
Original Paper
Auction Market Theory as an Emergent Property of Inventory Dynamics: The First Formal Mathematical Treatment
SSRN · 6616280
The Takeaway
Traders have long relied on Volume Profile and Value Area as a form of intuition or market art. A formal mathematical treatment has finally proved that these concepts are emergent properties of how inventory moves through a market. These patterns are not just observations. they are a direct result of the physics of trading. This proof turns a set of experienced guesses into a hard science. It provides a level of certainty for professional strategies that was previously based only on trial and error. The machines of Wall Street are following rules that we are only now beginning to fully calculate.
From the abstract
Auction Market Theory (AMT), introduced by Steidlmayer (1984) at the Chicago Board of Trade, has been used by professional traders for four decades to interpret market structure through volume profile analysis. Despite widespread practitioner adoption, AMT has never received a formal mathematical treatment in the academic literature. This paper provides one. Using a two-equation stochastic system-an inventory process with Hawkes self-exciting arrivals and a linear price impact process-we show th