A1 Refereed original research article in a scientific journal

Stability and accuracy functions in a coalition game with bans, linear payoffs and antagonistic strategies




AuthorsNikulin Y

PublisherSPRINGER

Publication year2009

JournalAnnals of Operations Research

Journal name in sourceANNALS OF OPERATIONS RESEARCH

Journal acronymANN OPER RES

Volume172

Issue1

First page 25

Last page35

Number of pages11

ISSN0254-5330

DOIhttps://doi.org/10.1007/s10479-008-0471-6(external)


Abstract

A coalition game with a finite number of players in which initial coefficients of linear payoff functions are Subject to perturbations is considered. For any efficient Solution which may appear in the game, appropriate measures of the quality are introduced. These measures correspond to the so-called stability and accuracy functions defined earlier For efficient solutions of a generic multiobjective combinatorial optimization problem with Pareto and lexicographic optimality principles. Various properties of such functions are studied. Maximum norms of perturbations for which an efficient in sense of equilibrium solution preserves the property of being efficient are calculated.



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