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Scalarization Method in Multicriteria Games

  • N. M. Novikova
  • I. I. Pospelova
Article
  • 19 Downloads

Abstract

Using a two-criteria two-person game as an example, the validity of the scalarization method applied for the parameterization of the set of game values and for estimating the players’ payoffs is investigated. It is shown that the use of linear scalarization by the players gives the results different from those obtained using Germeyer’s scalarization. Various formalizations of the concept of value of MC games are discussed.

Keywords

multicriteria games mixed extensions scalarization method linear scalarization Germeyer’s scalarization averaging of the vector of criteria 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of SciencesMoscowRussia
  2. 2.Faculty of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia

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