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Licensed Unlicensed Requires Authentication Published by De Gruyter May 4, 2019

Optimal shot selection strategies for the NBA

  • Mark Fichman and John Robert O’Brien EMAIL logo

Abstract

In this paper we conduct an equilibrium analysis of the 2015–2016 NBA record breaking season culminating in the dramatic final series upset produced by the Cleveland Cavaliers (CLE) over the Golden State Warriors (GSW). A Stackelberg equilibrium (Conitzer and Sandholm 2006) is constructed for each pair of NBA teams, as a pair of mixed offensive strategies defined over 2- and 3-point shot court locations. The first component corresponds to Team A’s offensive strategy playing against team B’s defense, and the second component is team B’s offensive strategy playing against team A’s defense. The results support the following insights. First, the results suggest that future NBA 3-point averages are headed higher to 37.9%, in contrast with current regular and playoff season averages for the 2015–2016 of 28.6% and 30.9%, respectively. Second, the results provide a means for evaluating the influence of an opposing team’s defense upon offensive strategy. Third, the results provide a strategic interpretation of the final NBA 2015–2016 playoff series where CLE upset GSW. GSW started close to their predicted strategy and then almost monotonically shifted further away whereas CLE moved closer to their predicted strategy. Realized outcomes correlate with these strategic trends.

References

Cohen, B. 2018. “The NBA Team With a 4-Point Line.” Wall Street Journal 2017.Search in Google Scholar

Cohen, B. 2017. “The Basketball Team That Never Takes a Bad Shot.” Wall Street Journal 2017.Search in Google Scholar

Conitzer, V. and T. Sandholm. 2006. “Computing the Optimal Strategy to Commit to.” Proceedings of the ACM Conference of EC, Ann Arbor, MI, USA, 82–90.Search in Google Scholar

Conitzer, V. 2016. “On Stackelberg Mixed Strategies.” Synthese (special issue on Logic and the Foundations of Decision and Game Theory) 193(3):689–703.10.1007/s11229-015-0927-6Search in Google Scholar

Fichman, M. and J. R. O’Brien. 2018. “Three Point Shooting and Efficient Mixed Strategies: A Portfolio Management Approach.” Journal of Sports Analytics 4:107–120.10.3233/JSA-160154Search in Google Scholar

Received: 2018-10-31
Accepted: 2019-04-11
Published Online: 2019-05-04
Published in Print: 2019-08-27

©2019 Walter de Gruyter GmbH, Berlin/Boston

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