Mutually-Antagonistic Interactions in Baseball Networks

Autor: Saavedra, Serguei, Powers, Scott, McCotter, Trent, Porter, Mason A., Mucha, Peter J.
Rok vydání: 2009
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1016/j.physa.2009.10.038
Popis: 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 interesting structural changes over time. We find interesting structure in the network 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 compare the performance of players who competed under different conditions and to 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 success in the random walker ranking but instead has a substantial effect on its sensitivity to changes in his own aggregate performance.
Comment: A few clarifications added 14 pages, 2 tables, 6 figures. Submitted
Databáze: arXiv