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PreprintarXiv licencearXiv

Two-resolution state modelling of intermittent online gambling activity during Sweden's temporary deposit-cap period

Abstract

Intermittent online gambling records create two distinct representation problems: calendar-time analyses must retain represented days with no recorded play, whereas analyses of active behaviour must preserve variation within active episodes. We pair calendar-time and active-bout models in a two-resolution analysis of 14.2 million player-days from a single operator during 2019-2023. The calendar-time layer retains assignable represented days in five observed categories and propagates a pre-period reference. The active-episode layer fits a Bayesian mixed-emission hidden semi-Markov model to turnover, playing time, approved deposits and session counts. In the reference four-regime fit, two regimes share a rounded model-implied turnover median of 153.5 EUR, while their model-implied playing-time and approved-deposit medians differ by factors of 4.6 and 5.7, respectively, and their expected total session counts by a factor of 2.8. This separation remains under an ordinary hidden Markov model, two routing perturbations and a residual-dependence sensitivity; the tested turnover-only fits were diagnostically unstable. Over the temporary Swedish deposit-cap period, deposits and turnover per represented player-day were roughly 55% below the propagated reference and active-category occupancy was 7.8% lower. The largest negative deviations in a prespecified Sweden-assigned cohort occurred among high pre-policy deposit-intensity customers. These are operator-specific descriptive comparisons, not causal policy effects.

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BibTeX
@misc{andersson2026tworesolution,
  title = {{Two-resolution state modelling of intermittent online gambling activity during Sweden's temporary deposit-cap period}},
  author = {Sam Andersson and Timo Koski and Helga Westerlind and Keenan Lyon and Per Carlbring and Olof Molander},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07794},
  eprint = {2609.07794},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07794},
}
RIS
TY  - UNPB
TI  - Two-resolution state modelling of intermittent online gambling activity during Sweden's temporary deposit-cap period
AU  - Sam Andersson
AU  - Timo Koski
AU  - Helga Westerlind
AU  - Keenan Lyon
AU  - Per Carlbring
AU  - Olof Molander
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07794
UR  - https://arxiv.org/abs/2609.07794
AB  - Intermittent online gambling records create two distinct representation problems: calendar-time analyses must retain represented days with no recorded play, whereas analyses of active behaviour must preserve variation within active episodes. We pair calendar-time and active-bout models in a two-resolution analysis of 14.2 million player-days from a single operator during 2019-2023. The calendar-time layer retains assignable represented days in five observed categories and propagates a pre-period reference. The active-episode layer fits a Bayesian mixed-emission hidden semi-Markov model to turnover, playing time, approved deposits and session counts. In the reference four-regime fit, two regimes share a rounded model-implied turnover median of 153.5 EUR, while their model-implied playing-time and approved-deposit medians differ by factors of 4.6 and 5.7, respectively, and their expected total session counts by a factor of 2.8. This separation remains under an ordinary hidden Markov model, two routing perturbations and a residual-dependence sensitivity; the tested turnover-only fits were diagnostically unstable. Over the temporary Swedish deposit-cap period, deposits and turnover per represented player-day were roughly 55% below the propagated reference and active-category occupancy was 7.8% lower. The largest negative deviations in a prespecified Sweden-assigned cohort occurred among high pre-policy deposit-intensity customers. These are operator-specific descriptive comparisons, not causal policy effects.
ER  -