Exploiting the Shapley Value in the Estimation of the Position of a Point of Interest for a Group of Individuals

Concepts and tools from cooperative game theory are exploited to quantify the role played by each member of a team in estimating the position of an observed point of interest. The measure of importance known as “Shapley value” is used to this end. From the theoretical point view, we propose a specific form of the characteristic function for the class of cooperative games under investigation. In the numerical analysis, different configurations of a group of individuals are considered: all individuals looking at a mobile point of interest, one of them replaced with an artificially-generated one who looks exactly toward the point of interest, and directions of the heads replaced with randomly-generated directions. The corresponding experimental outcomes are compared.