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Mutually-antagonistic interactions in baseball networks

Author

Listed:
  • Saavedra, Serguei
  • Powers, Scott
  • McCotter, Trent
  • Porter, Mason A.
  • Mucha, Peter J.

Abstract

We formulate the head-to-head matchups between Major League Baseball pitchers and batters from 1954 to 2008 as a bipartite network of mutually-antagonistic interactions. We consider both the full network and single-season networks, which exhibit structural changes over time. We find interesting structure in the networks and examine their sensitivity to baseball’s rule changes. We then study a biased random walk on the matchup networks as a simple and transparent way to (1) compare the performance of players who competed under different conditions and (2) include information about which particular players a given player has faced. We find that a player’s position in the network does not correlate with his placement in the random walker ranking. However, network position does have a substantial effect on the robustness of ranking placement to changes in head-to-head matchups.

Suggested Citation

  • Saavedra, Serguei & Powers, Scott & McCotter, Trent & Porter, Mason A. & Mucha, Peter J., 2010. "Mutually-antagonistic interactions in baseball networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1131-1141.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:5:p:1131-1141
    DOI: 10.1016/j.physa.2009.10.038
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    References listed on IDEAS

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    1. Caldarelli, Guido, 2007. "Scale-Free Networks: Complex Webs in Nature and Technology," OUP Catalogue, Oxford University Press, number 9780199211517, Decembrie.
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    Cited by:

    1. Herrera-Diestra, J.L. & Echegoyen, I. & Martínez, J.H. & Garrido, D. & Busquets, J. & Io, F.Seirul. & Buldú, J.M., 2020. "Pitch networks reveal organizational and spatial patterns of Guardiola’s F.C. Barcelona," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Calzada-Infante, Laura & Lozano, Sebastián, 2016. "Analysing Olympic Games through dominance networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1215-1230.
    3. Petersen, Alexander M. & Penner, Orion, 2020. "Renormalizing individual performance metrics for cultural heritage management of sports records," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).

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