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July 21, 2026Open Access

The Gambler Was Right: A Reproducible Challenge to Strategic Indifference in Fair Coin Sequences

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Authors

MTMichael E. Teplinsky

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Overview

Randomized trial examines catastrophic losses in fair coin betting strategies, revealing selective entry advantages.

Key Points

  • The study aims to test the concept of strategic indifference by comparing outcomes of two betting strategies in fair coin flips.
  • Two players observed identical sequences of binary outcomes across 500,000 sequences of coin flips.
  • Selective player entered after observing consecutive same-side outcomes, while the Markov player entered at each direction change.
  • Catastrophic losses were measured and compared between the two players using statistical analysis.
  • The selective player experienced 10.6% to 67.7% fewer catastrophic losses compared to the Markov player, depending on observation depth.
  • Zero gradient reversals were noted, with combined Z-scores ranging from -7.16 to -22.60, indicating statistical significance.
  • Despite differing loss experiences, both players maintained the same per-entry loss rates.

Cite This Study

Michael E. Teplinsky (2026) studied this question.

synapsesocial.com/papers/6a5f0c1886a4235cc161990ehttps://doi.org/10.5281/zenodo.21435471
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