The effect of past successes on the probability of a current success: evidence from a natural experiment

Abstract A theoretical prediction for performance in a tournament is that a player’s performance in a round can be affected by their results in previous rounds relative to those of the tournament leader. Such a momentum effect relates to the popular belief that in a competitive environment past successes can increases the probability of a current success. The momentum effect is empirically investigated with data from games of single round-robin chess tournaments. The effect is identified by exploiting that players were randomly assigned a number before the start of the tournament which determined for each round their opponent and colour of the pieces. The findings do not support a momentum effect and, moreover, show that the observed momentum in the data can be explained by differences in players’ strength. Furthermore, no empirical support is found for an effect of the outcome of the previous game on the outcome of a current game. Hence, the empirical evidence suggests that past successes per se do not affect the probability of a current success.

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Publication Details

Journal
Journal of the Royal Statistical Society Series A (Statistics in Society)
Published
2025-06-24
DOI
https://doi.org/10.1093/jrsssa/qnaf065
Primary Topic
Agricultural risk and resilience
Type
article
Field-Weighted Citation Impact
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article

The effect of past successes on the probability of a current success: evidence from a natural experiment

Adriaan Kalwij
Journal of the Royal Statistical Society Series A (Statistics in Society)
Agricultural risk and resilience
article

The effect of past successes on the probability of a current success: evidence from a natural experiment

Adriaan Kalwij
article en

Abstract

Abstract A theoretical prediction for performance in a tournament is that a player’s performance in a round can be affected by their results in previous rounds relative to those of the tournament leader. Such a momentum effect relates to the popular belief that in a competitive environment past successes can increases the probability of a current success. The momentum effect is empirically investigated with data from games of single round-robin chess tournaments. The effect is identified by exploiting that players were randomly assigned a number before the start of the tournament which determined for each round their opponent and colour of the pieces. The findings do not support a momentum effect and, moreover, show that the observed momentum in the data can be explained by differences in players’ strength. Furthermore, no empirical support is found for an effect of the outcome of the previous game on the outcome of a current game. Hence, the empirical evidence suggests that past successes per se do not affect the probability of a current success.

Journal of the Royal Statistical Society Series A (Statistics in Society)
Utrecht University (NL)
Openalex Percentile: Top 80%
Agricultural risk and resilience
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The effect of past successes on the probability of a current success: evidence from a natural experiment — Adriaan Kalwij · Journal of the Royal Statistical Society Series A (Statistics in Society) (2025) | TGRS Research Map | TGRS