Optimal shot selection strategies for the NBA

2019 ◽  
Vol 15 (3) ◽  
pp. 203-211
Author(s):  
Mark Fichman ◽  
John Robert O’Brien
Keyword(s):  
Stackelberg Equilibrium ◽  
Equilibrium Analysis ◽  
Selection Strategies ◽  
Offensive Strategies

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.

scholarly journals An equilibrium analysis of market selection strategies and fee strategies in competing double auction marketplaces

2012 ◽  
Vol 26 (2) ◽  
pp. 245-287 ◽  
Author(s):  
Bing Shi ◽  
Enrico H. Gerding ◽  
Perukrishnen Vytelingum ◽  
Nicholas R. Jennings
Keyword(s):  
Equilibrium Analysis ◽  
Double Auction ◽  
Market Selection ◽  
Selection Strategies

Feature Selection Strategies and Perceptual Expertise in Configuration Search Tasks

2011 ◽  
Author(s):  
Lindsey M. Kitchell ◽  
Francisco J. Parada ◽  
Brandi L. Emerick ◽  
Tom A. Busey
Keyword(s):  
Feature Selection ◽  
Perceptual Expertise ◽  
Search Tasks ◽  
Selection Strategies

Comments on "Shadow Pricing and Macroeconomic Analysis: Some Illustrations from Pakistan" by Squire et al.

1979 ◽  
Vol 18 (2) ◽  
pp. 113-115
Author(s):  
T. N. Srinivasan
Keyword(s):  
General Equilibrium ◽  
Equilibrium Model ◽  
General Equilibrium Model ◽  
Equilibrium Analysis ◽  
Partial Equilibrium ◽  
Shadow Prices ◽  
Essential Point ◽  
Economic Issues ◽  
Shadow Pricing ◽  
Extreme Sensitivity

The paper is too long for conveying the message that shadow pricing used as a method of analysis in micro-economic issues of project selection is also useful for analysing macro-economic issues, such as foreign and domestic borrowing by the government, emigration, etc. Much of the methodological discussion in the paper is available in a readily accessible form in several publications of each of the coauthors; In contrast, the specific application of the methodology to Pakistani problems is much too cavalier. While it is hard to disagree with the authors' claim that shadow pricing "constitutes a relatively informal attempt to capture general equilibrium effects" (p. 89, emphasis added), their depiction of traditional analysis is a bit of a caricature: essentially it sets up a strawman to knock down. After all in the traditional partial equilibrium analysis, the caveat is always entered that the results are possibly sensitive to violation of the ceteris paribus assumptions of the analysis, though often the analysts will claim that extreme sensitivity is unlikely. Analogously, the shadow pricing method presumes "stationarity" of shadow prices in the sense that they are “independent of policy changes under review" (p. 90). The essential point to be noted is that the validity of this assertion or of the "not too extreme sensitivity" assertion of partial equilibrium analysts can be tested only with a full scale general equilibrium model! At any rate this reviewer would not pose the issue as one of traditional partial equilibrium macro-analysis versus shadow pricing as an approximate general equilibrium analysis, but would prefer a description of project analysis as an approach in which a macro-general equilibrium model of a manageable size (implicit or explicit) is used to derive a set of key shadow prices which are then used in a detailed micro-analysis of projects.

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