Reducing the number of linear programs needed for solving the nucleolus problem of \(n\)-person game theory

DOI10.1016/0377-2217(95)00341-XzbMath0917.90296OpenAlexW2056919655MaRDI QIDQ1278742

Bastian Fromen

Publication date: 22 February 1999

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(95)00341-x

zbMATH Keywords

nucleoluscooperative \(n\)-person-gamelexminmax optimization

Mathematics Subject Classification ID

Cooperative games (91A12) Linear programming (90C05)

Related Items (11)

Common mistakes in computing the nucleolus ⋮ Finding the nucleoli of large cooperative games ⋮ Characterization sets for the nucleolus in balanced games ⋮ Optimal coalition formation and surplus distribution: two sides of one coin ⋮ Selfish-dilemma consensus analysis for group decision making in the perspective of cooperative game theory ⋮ The least square B-nucleolus for fuzzy cooperative games ⋮ Finding the nucleolus of the vehicle routing game with time windows ⋮ Fast computation of the leastcore and prenucleolus of cooperative games ⋮ Analytic solution for the nucleolus of a three-player cooperative game ⋮ Constructive and blocking power in collaborative transportation ⋮ A review on cost allocation methods in collaborative transportation

Cites Work

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• On finding the nucleolus of an \(n\)-person cooperative game
• A simplex based algorithm for the lexicographically extended linear maxmin problem
• The nucleolus and kernel for simple games or special valid inequalities for 0-1 linear integer programs
• The nucleolus of homogeneous games with steps
• Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts
• The Nucleolus of a Matrix Game and Other Nucleoli
• Lexikographische Optimierung und Zweipersonennullsummenspiele unter Ausnutzung von Fehlern des Gegners
• Lexicographic quasiconcave multiobjective programming
• The Nucleolus of a Characteristic Function Game
• The Nucleolus as a Solution of a Minimization Problem

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