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Scalarization Method in Multicriteria Games

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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.

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”, Russian Academy of Sciences, Moscow, 119333, Russia

    N. M. Novikova

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

    I. I. Pospelova

Authors
  1. N. M. Novikova
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  2. I. I. Pospelova
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Correspondence to N. M. Novikova.

Additional information

Dedicated to the 100th birthday of Academician N.N. Moiseev

Original Russian Text © N.M. Novikova, I.I. Pospelova, 2018, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2018, Vol. 58, No. 2, pp. 192–201.

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Novikova, N.M., Pospelova, I.I. Scalarization Method in Multicriteria Games. Comput. Math. and Math. Phys. 58, 180–189 (2018). https://doi.org/10.1134/S0965542518020112

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  • DOI: https://doi.org/10.1134/S0965542518020112

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