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Switching Dynamics in an Interpersonal Competition Brings about “Deadlock” Synchronization of Players

Author

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  • Akifumi Kijima
  • Koji Kadota
  • Keiko Yokoyama
  • Motoki Okumura
  • Hiroo Suzuki
  • R C Schmidt
  • Yuji Yamamoto

Abstract

In competitive sport game behavior, certain interpersonal patterns of movement coordination evolve even though each individual player only intends to exert their own strategy to win. To investigate this interpersonal pattern formation process, we asked pairs of naïve participants to engage in a play-tag game in which they had to remove a tag fastened to their partner's hip. Relative phase analysis of the players' step towards-away velocities indicated that anti-phase synchronization evolved across 10 repetitions of the game. We clarified evolution of this synchronization process using a dynamical model with an attractor (at relative phase) and a repeller (at relative phase) and discuss the self-organized nature of model and its ability to embody general solution for martial art interpersonal coordination.

Suggested Citation

  • Akifumi Kijima & Koji Kadota & Keiko Yokoyama & Motoki Okumura & Hiroo Suzuki & R C Schmidt & Yuji Yamamoto, 2012. "Switching Dynamics in an Interpersonal Competition Brings about “Deadlock” Synchronization of Players," PLOS ONE, Public Library of Science, vol. 7(11), pages 1-10, November.
    • Handle: RePEc:plo:pone00:0047911
    DOI: 10.1371/journal.pone.0047911
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    References listed on IDEAS

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    1. Mark Walker & John Wooders, 2001. "Minimax Play at Wimbledon," American Economic Review, American Economic Association, vol. 91(5), pages 1521-1538, December.
    2. P.-A. Chiappori, 2002. "Testing Mixed-Strategy Equilibria When Players Are Heterogeneous: The Case of Penalty Kicks in Soccer," American Economic Review, American Economic Association, vol. 92(4), pages 1138-1151, September.
    3. Ignacio Palacios-Huerta & Oscar Volij, 2008. "Experientia Docet: Professionals Play Minimax in Laboratory Experiments," Econometrica, Econometric Society, vol. 76(1), pages 71-115, January.
    4. Shih-Hsun Hsu & Chen-Ying Huang & Cheng-Tao Tang, 2007. "Minimax Play at Wimbledon: Comment," American Economic Review, American Economic Association, vol. 97(1), pages 517-523, March.
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    Cited by:

    1. Ryota Takamido & Keiko Yokoyama & Yuji Yamamoto, 2019. "Task constraints and stepping movement of fast-pitch softball hitting," PLOS ONE, Public Library of Science, vol. 14(2), pages 1-18, February.
    2. Yuji Yamamoto & Keiko Yokoyama & Motoki Okumura & Akifumi Kijima & Koji Kadota & Kazutoshi Gohara, 2013. "Joint Action Syntax in Japanese Martial Arts," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-9, September.

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