Journal article
Shapley inspired solutions to linear programming based N-Person cooperative games
International journal of management science and engineering management
06 Jun 2026
Abstract
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.
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Details
- Title
- Shapley inspired solutions to linear programming based N-Person cooperative games
- Creators
- Allen L. Soyster - Universidad del NoresteFrederic Murphy - Temple CollegeDavid Toof - Ernst & Young (Israel)Benjamin Lev (Corresponding Author) - Drexel University
- Publication Details
- International journal of management science and engineering management
- Publisher
- Taylor & Francis
- Number of pages
- 13
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Decision Sciences (and Management Information Systems)
- Web of Science ID
- WOS:001787827400001
- Scopus ID
- 2-s2.0-105041268339
- Other Identifier
- 991022192024704721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Operations Research & Management Science