A Note on Payout Functions and Probabilities Related to Shin's Model

28 September 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

In this extended abstract, we investigate the payout functions derived by Shin’s model, especially in the context of two-outcome events. We develop an analytical framework to calculate the expected payouts for both insider and outsider bettors and explore a new analytical solution with curious structure and details. Our findings provide new insights into the mechanics of betting markets and offer a deeper understanding of probability estimation from fixed odds.

Keywords

Probability forecasting
Shin's model
Sports forecasting

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Comment number 1, Алмаз Яруллин: Nov 23, 2025, 23:29

Thank you for sharing this concise yet insightful preprint on "A Note on Payout Functions and Probabilities Related to Shin's Model"! The analytical framework for expected payouts in two-outcome events provides a fresh perspective on insider and outsider dynamics, and the new solution's curious structure is particularly intriguing for unpacking betting market inefficiencies. These insights have clear value for advancing probability forecasting in sports and beyond. Looking forward to its applications in economic modeling—excellent and elegant work!