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Shapley inspired solutions to linear programming based N-Person cooperative games
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DOI：10.1080/17509653.2026.2655785.png)
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Abstract
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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.
Keywords:
Primal-dual
Nash equilibrium
Shapley values
N-person games
C6
C71
C72
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2.6
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237
Citations:
739
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