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Related papers: The problem of shot selection in basketball

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In this paper, we propose a shot percentage distribution strategy among the players of a basketball team to maximize the score that can be achieved by them. The approach is based on the concepts of game theory related to network flow.

Computer Science and Game Theory · Computer Science 2023-10-03 Aditya Singh

Every shot in basketball has an opportunity cost; one player's shot eliminates all potential opportunities from their teammates for that play. For this reason, player-shot efficiency should ultimately be considered relative to the lineup.…

Applications · Statistics 2021-04-19 Nathan Sandholtz , Jacob Mortensen , Luke Bornn

As 3-point shooting in the NBA continues to increase, the importance of perimeter defense has never been greater. Perimeter defenders are often evaluated by their ability to tightly contest shots, but how exactly does contesting a jump shot…

Applications · Statistics 2019-05-03 Luke Bornn , Daniel Daly-Grafstein

It is customary for researchers and practitioners to fit linear models in order to predict NBA player's salary based on the players' performance on court. On the contrary, we focus on the players salary share (with regards to the team…

Applications · Statistics 2022-02-07 Ioanna Papadaki , Michail Tsagris

In this paper, we predict the likelihood of a player making a shot in basketball from multiagent trajectories. Previous approaches to similar problems center on hand-crafting features to capture domain specific knowledge. Although…

Machine Learning · Statistics 2021-01-19 Mark Harmon , Abdolghani Ebrahimi , Patrick Lucey , Diego Klabjan

The debate surrounding the hot hand in the NBA has been ongoing for many years. However, many of the previous works on this theme has focused on only the very next sequential shot attempt, often on very select players. This work looks in…

Other Statistics · Statistics 2019-12-17 Samuel Henry

Understanding player shooting profiles is an essential part of basketball analysis: knowing where certain opposing players like to shoot from can help coaches neutralize offensive gameplans from their opponents; understanding where their…

Machine Learning · Computer Science 2023-03-20 Alejandro Rodriguez Pascual , Ishan Mehta , Muhammad Khan , Frank Rodriz , Rose Yu

The underlying physics of basketball shooting seems to be a straightforward example of the Newtonian mechanics that can easily be traced by numerical methods. However, a human basketball player does not make use of all the possible…

Popular Physics · Physics 2016-10-25 Byeong June Min

This book chapter reviews some of the major principles associated with optimal strategy in basketball. In particular, we consider the principles of allocative efficiency (optimal allocation of shots between offensive options), dynamic…

Physics and Society · Physics 2015-12-18 Brian Skinner , Matthew Goldman

We investigate the probability of scoring a point when playing the basketball shooting game called "Horse". We show that under the Traditional Rules, it is optimal to choose very easy shots. We propose alternative rules called Pops Rules,…

Probability · Mathematics 2022-01-19 Daniel Rosenthal , Jeffrey S. Rosenthal

The purpose of this paper is to determine whether basketball teams who choose to employ an offensive strategy that involves predominantly shooting three point shots is stable and optimal. We employ a game-theoretical approach using…

Dynamical Systems · Mathematics 2015-06-24 Ikjyot Singh Kohli

Shooting skill in the NBA is typically measured by field goal percentage (FG%) - the number of makes out of the total number of shots. Even more advanced metrics like true shooting percentage are calculated by counting each player's…

Applications · Statistics 2018-10-30 Daniel Daly-Grafstein , Luke Bornn

I demonstrate that repetition heats players up, while interruption cools players down in NBA free throw shooting. My analysis also suggests that fatigue and stress come into play. If, as seems likely, all four of these effects have…

Applications · Statistics 2018-01-23 Paul R. Pudaite

Shot charts in basketball analytics provide an indispensable tool for evaluating players' shooting performance by visually representing the distribution of field goal attempts across different court locations. However, conventional methods…

Methodology · Statistics 2025-05-16 Luca Scrucca , Dimitris Karlis

The game of Knockout is a classic playground game played with two basketballs. This paper uses a Markov process to analyze each player's probability of winning the game given their starting position in line and shooting percentages,…

Optimization and Control · Mathematics 2025-05-23 Andrew Flatz , Michael C. Loper , Lezlie Weyer

Scoring in a basketball game is a process highly dynamic and non-linear type. The level of NBA teams improve each season. They incorporate to their rosters the best players in the world. These and other mechanisms, make the scoring in the…

There seems to be an upper limit to predicting the outcome of matches in (semi-)professional sports. Recent work has proposed that this is due to chance and attempts have been made to simulate the distribution of win percentages to identify…

Applications · Statistics 2015-08-21 Albrecht Zimmermann

Experience is an important asset in almost any professional activity. In basketball, there is believed to be a positive association between coaching experience and effective use of team timeouts. Here, we analyze both the extent to which a…

Physics and Society · Physics 2015-03-20 Serguei Saavedra , Satyam Mukherjee , James P. Bagrow

We report an emergence of bifurcation in basketball, a single-particle system governed by Newtonian mechanics. When shooting the basketball, the obvious control parameters are the launch speed and the launch angle. We propose to use the…

Popular Physics · Physics 2016-12-06 Byeong June Min

Within college basketball, the decision to foul or not with a 3-point lead (the "foul up 3" dilemma) significantly impacts teams. A single fouling decision can directly determine the outcome of a game or even an entire season. Within this…

Physics and Society · Physics 2024-02-22 Julian Zapata-Hall
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