Shapley inspired solutions to linear programming based N-Person cooperative games

This paper is about N-person cooperative games embedded in a set of N linear programs. In the 1975 seminal paper about linear production, Owen showed that an optimal dual vector of the Grand Coalition (of the Producers) provided the key for determining a solution in the Core. This Core solution depends entirely on the resources (right-hand sides) of the N linear programs; the technology matrices and objective coefficients have no role. We provide a Shapley inspired alternative Core solution which includes the impact of technology and prices missing in the Owen Core solution.