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Policy capturing in small‐group decision making: Using linear programming to assign factor weights for the NCAA Selection Committee's ranking decisions in the 2016 through 2018 men's basketball tournaments

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  • Bruce A. Reinig
  • Ira Horowitz

Abstract

We present a general approach for applying policy capturing to small‐group decision making and demonstrate the approach with the NCAA Selection Committee's rankings of the 68 teams in the three most recent Division I Men's Basketball Tournaments. We develop a linear programming model that minimizes the extent to which the evaluation of a lower‐ranked team exceeds that of a team ranked immediately above it. The result is a set of linear weights that approximates a group decision when the decision itself is demonstrably internally inconsistent in that a group ranks some teams higher than others despite a lower implied evaluation.

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  • Bruce A. Reinig & Ira Horowitz, 2019. "Policy capturing in small‐group decision making: Using linear programming to assign factor weights for the NCAA Selection Committee's ranking decisions in the 2016 through 2018 men's basketball tourna," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 40(1), pages 97-104, January.
    • Handle: RePEc:wly:mgtdec:v:40:y:2019:i:1:p:97-104
    DOI: 10.1002/mde.2984
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