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

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.     

Market penetration by entry-exit dynamics

A generic characterization of the dynamics of market penetration by technological artifacts is here formulated on the basis of entry rate and exit rate considerations. It is shown that low-order reductions lead to the biologically based logistic dynamic, which—by empirical fit—has been found to be in very good agreement with numerous specific cases. In addition to the derivational justification of the logistic for artifact market penetration, we find that but a small number of parameters are involved in these autonomous characterizations suggesting therefore that market penetration may well be reduced to a similarly small number of dominant operative processes. Some nonautonomous extensions are also discussed.     

On the manager as principal clerk

Until recently, economic theory and economists treated the management process with benign neglect. Insofar as business enterprises — the firms of economic theory – require managers to oversee their daily operations, these managers are implicitly viewed as fungible ‘principal clerks’. This paper makes this view explicit and considers whether it is valid for a particular class of manager, that of a major league baseball team.