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The prevalence of chaotic dynamics in games with many players.

ABSTRACT: We study adaptive learning in a typical p-player game. The payoffs of the games are randomly generated and then held fixed. The strategies of the players evolve through time as the players learn. The trajectories in the strategy space display a range of qualitatively different behaviours, with attractors that include unique fixed points, multiple fixed points, limit cycles and chaos. In the limit where the game is complicated, in the sense that the players can take many possible actions, we use a generating-functional approach to establish the parameter range in which learning dynamics converge to a stable fixed point. The size of this region goes to zero as the number of players goes to infinity, suggesting that complex non-equilibrium behaviour, exemplified by chaos, is the norm for complicated games with many players.

SUBMITTER: Sanders JBT

PROVIDER: S-EPMC5861132 | biostudies-literature | 2018 Mar

REPOSITORIES: biostudies-literature

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The prevalence of chaotic dynamics in games with many players.

Sanders James B T JBT Farmer J Doyne JD Galla Tobias T

Scientific reports 20180320 1

We study adaptive learning in a typical p-player game. The payoffs of the games are randomly generated and then held fixed. The strategies of the players evolve through time as the players learn. The trajectories in the strategy space display a range of qualitatively different behaviours, with attractors that include unique fixed points, multiple fixed points, limit cycles and chaos. In the limit where the game is complicated, in the sense that the players can take many possible actions, we use ...[more]

PMID: 29559641

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Project description:BACKGROUND:Gaelic games are some of the most popular sports played by Irish adolescents, and the Gaelic Athletic Association has undertaken educational initiatives to improve awareness of a sports-related concussion (SRC). However, SRC underreporting is common among adolescent athletes internationally, potentially due to poor knowledge or attitudes toward SRC. This study aimed to examine previous experiences with, knowledge of, and attitudes toward reporting SRCs, as well as views on future education in adolescent Gaelic games players and their parents. HYPOTHESES:The hypotheses were as follows: (1) A significant number of adolescent Gaelic games players will have experienced an SRC, (2) nondisclosure of SRCs will be common, and (3) adolescents will display poorer attitudes toward reporting than parents. STUDY DESIGN:Cross-sectional study. LEVEL OF EVIDENCE:Level 3. METHODS:Adolescent male and female Gaelic games players (n = 113) and parents (n = 151) completed an anonymous questionnaire examining previous experiences with, knowledge of, and attitudes toward reporting SRCs, as well as views on future SRC education initiatives. RESULTS:Overall, 57.5% of adolescent Gaelic games players suspected they had suffered an SRC previously, and a greater number of suspected SRCs were reported than were medically diagnosed. Adolescent players (mean score, 11.4/14) and their parents (mean score, 11.8) displayed good knowledge of SRC signs and symptoms. However, adolescents were less likely to report an SRC during an important game or if an important game was coming up. Both adolescents and their parents would like more SRC education, particularly in the format of online videos or medical professional-led workshops. CONCLUSION:Underreporting of SRC occurs in adolescent players, despite good knowledge of SRC signs and symptoms. Education is required to highlight the importance of completing a return-to-play program after an SRC regardless of match importance. CLINICAL RELEVANCE:A multifaceted educational strategy that targets the wider Gaelic games community in the preferred formats identified by key stakeholders is required.

Dataset Information

The prevalence of chaotic dynamics in games with many players.

Publications

The prevalence of chaotic dynamics in games with many players.

Similar Datasets

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