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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 2, Pages 192–201 (Mi zvmmf10672)

This article is cited in 7 papers

Scalarization method in multicriteria games

N. M. Novikovaa, I. I. Pospelovab

a Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

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.

Key words: multicriteria games, mixed extensions, scalarization method, linear scalarization, Germeyer's scalarization, averaging of the vector of criteria.

UDC: 519. 698

Received: 20.07.2017

DOI: 10.7868/S0044466918020047


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:2, 180–189

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