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Research Paper · Youssef Al-Hakim · Claire Dumont · 2025-11-28

Session Duration and Loss Rate: A Longitudinal Study

Status: published
Keywords: session duration, loss rate, longitudinal, bankroll depletion, fatigue

We tracked 380 recreational roulette players across a twelve-month period, recording session duration, bet sizing, and session outcomes. We find a robust and statistically significant positive relationship between session duration and loss rate per unit staked. Players in sessions longer than two hours lose at approximately 1.8 times the rate of players in sessions shorter than one hour, after controlling for stake size and wheel type. We attribute this effect to a combination of increased total action (more spins exposing more capital to the house edge) and a degradation in bet discipline that we observe in extended sessions.

The relationship between session duration and player outcomes is a question of both mathematical and behavioral importance. On purely mathematical grounds, session duration affects total action — the sum of all amounts staked — and therefore determines the absolute magnitude of expected loss. A player who stakes 5 units per spin for 200 spins has a total action of 1,000 units; their expected loss is 27 units on a European wheel. The same player for 500 spins has total action of 2,500 and expected loss of 67.5 units. Duration is, in this sense, directly linked to cost.

We recruited 380 recreational players through partner venues and the Roulette Community's member network. Participants agreed to report session data through a structured logging application over twelve months. We collected 4,218 sessions in total. Each session record included start and end time, wheel type, stated base bet unit, starting and ending chip count, and a short qualitative assessment of attention and fatigue.

Our primary finding is that the loss rate per unit staked — the realized house edge from the player's perspective — increases with session duration. Players in sessions of under one hour realized a median loss rate of 3.1% per unit staked (close to the theoretical 2.703%). Players in sessions of one to two hours realized 3.9%. Players in sessions exceeding two hours realized 4.8%. The trend is monotonic and highly significant (Kruskal-Wallis H = 87.4, p < 0.001).

Two mechanisms appear to drive the elevated loss rate in longer sessions. The first is mathematical: longer sessions expose more capital to the house edge. A player who increases bet sizes as their session progresses — a common observed behavior — amplifies this effect. The second is behavioral: our qualitative assessment data shows that self-reported attention and discipline decline significantly after 90 minutes, with 64% of players in two-hour-plus sessions reporting some degree of fatigue or reduced concentration in their self-assessments.

The behavioral mechanism appears to manifest specifically in bet discipline deterioration. Examining logged bet sequences, we find that players in extended sessions show increasing bet-size variance relative to their stated base unit after the 90-minute mark. Specifically, the coefficient of variation of bet sizes increases by an average of 41% in the second half of sessions exceeding two hours. This pattern is consistent with impulsive bet escalation under fatigue.

Our recommendations for players and session hosts are straightforward. For players: a session duration limit of 90 minutes is supported by the data as the point at which degradation becomes measurable. For hosts: scheduling natural breaks at 60-minute intervals — refreshments, discussion, a review of the session so far — can preserve the bet discipline that protects players from the behavioral component of the elevated loss rate.

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