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Should the strongest be the last? Strategic choice of ordering in sports relays
The Journal of the New Economic Association. 2024. No. 1(62). P. 31–48.
N. S. Avkhimovich
In this paper, we analyse the strategic order of athletes in sports relays. It is generally believed that the strongest athlete should perform the last. In sports, choking under pressure is a major phenomenon that manifests itself in athletes' performance decrement when faced with stressful conditions. We focus on the pressure the athletes experience when their team is lagging behind the competitor in accuracy-based relays. In theoretical models, we found that choking under pressure has an impact on strategic decisions on team formation when teams consist of players with differentiated skills. Without choking under pressure in place, teams are indifferent to athletes' order. If all athletes experience the same magnitude of performance decrements, the strictly dominant strategy is when a stronger athlete starts and a weaker athlete finishes the race. For the case of differentiated performance decrements, we find the optimal strategy as a function of those decrements. The conventional wisdom strategy "Weaker to start, stronger to finish" is strictly dominant only when the resilience of a strong player is high enough and the performance decrement is much lower than a weak player's.
Publication based on the results of:
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