title: Mutual and asynchronous anticipation and action in sports as globally competitive and locally coordinative dynamics.
abstract: Humans interact by changing their actions, perceiving other's actions and executing solutions in conflicting situations. Using oscillator models, nonlinear dynamics have been considered for describing these complex human movements as an emergence of self-organisation. However, these frameworks cannot explain the hierarchical structures of complex behaviours between conflicting inter-agent and adapting intra-agent systems, especially in sport competitions wherein mutually quick decision making and execution are required. Here we adopt a hybrid multiscale approach to model an attack-and-defend game during which both players predict the opponent's movement and move with a delay. From both simulated and measured data, one synchronous outcome between two-agent (i.e. successful defence) can be described as one attractor. In contrast, the other coordination-breaking outcome (i.e. successful attack) cannot be explained using gradient dynamics because the asymmetric interaction cannot always assume a conserved physical quantity. Instead, we provide the asymmetric and asynchronous hierarchical dynamical models to discuss two-agent competition. Our framework suggests that possessing information about an opponent and oneself in local-coordinative and global-competitive scale enables us to gain a deeper understanding of sports competitions. We anticipate developments in the scientific fields of complex movement adapting to such uncontrolled environments.
authors.affiliation: Research Center of Health Physical Fitness and Sports, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-0814, Japan.|Research Fellow of the Japan Society for the Promotion of Science, Japan.
authors.forename: Keisuke
authors.initials: K
authors.lastname: Fujii
authors.affiliation: Faculty of Sports and Health Science, Ritsumeikan University, 1-1-1 Noji-higashi, Kusatsu, Shiga 525-8577, Japan.
authors.forename: Tadao
authors.initials: T
authors.lastname: Isaka
authors.affiliation: Graduate School of Human and Environmental Studies, Kyoto University, Yoshida-nihonmatsu-cho, Sakyo-ku, Kyoto, 606-8501, Japan.
authors.forename: Motoki
authors.initials: M
authors.lastname: Kouzaki
authors.affiliation: Research Center of Health Physical Fitness and Sports, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-0814, Japan.
authors.forename: Yuji
authors.initials: Y
authors.lastname: Yamamoto
mesh_terms: D003163:Competitive Behavior / Q000502:physiology*; D003657:Decision Making / Q000502:physiology; D006801:Humans; D009068:Movement / Q000502:physiology; D017711:Nonlinear Dynamics; D011597:Psychomotor Performance / Q000502:physiology; D013177:Sports / Q000502:physiology*; D014796:Visual Perception / Q000502:physiology