Analytic solution for the nucleolus of a three-player cooperative game

DOI10.1002/nav.20429zbMath1202.91015OpenAlexW2024627245MaRDI QIDQ3065628

Mahmut Parlar, Mingming Leng

Publication date: 6 January 2011

Published in: Naval Research Logistics (NRL) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nav.20429

zbMATH Keywords

linear programmingnucleolusthree-player cooperative game in characteristic function form

Mathematics Subject Classification ID

Cooperative games (91A12) Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) (90C08) (n)-person games, (n>2) (91A06)

Related Items (9)

Common mistakes in computing the nucleolus ⋮ Resource Pooling and Cost Allocation Among Independent Service Providers ⋮ Finding the nucleoli of large cooperative games ⋮ Finding the nucleolus of any \(n\)-person cooperative game by a single linear program ⋮ Sharing loading costs for multi compartment vehicles ⋮ Model development with Maple in PhD-level management science courses: a personal account ⋮ Finding the nucleolus of the vehicle routing game with time windows ⋮ The integer nucleolus of directed simple games: a characterization and an algorithm ⋮ Considerations on the aggregate monotonicity of the nucleolus and the core-center

Cites Work

• Unnamed Item
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• On finding the nucleolus of an \(n\)-person cooperative game
• Monotonic solutions of cooperative games
• A simplex based algorithm for the lexicographically extended linear maxmin problem
• Reducing the number of linear programs needed for solving the nucleolus problem of \(n\)-person game theory
• An algorithm for finding the nucleolus of assignment games
• A note on the nucleolus
• Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts
• A procedure for finding the nucleolus of a cooperativen person game
• Computing the Nucleolus by Solving a Prolonged Simplex Algorithm
• Allocation of Cost Savings in a Three-Level Supply Chain with Demand Information Sharing: A Cooperative-Game Approach
• The Nucleolus of a Characteristic Function Game
• The Nucleolus as a Solution of a Minimization Problem

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