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This article is cited in 6 scientific papers (total in 6 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.
Received: 20.07.2017
Citation:
N. M. Novikova, I. I. Pospelova, “Scalarization method in multicriteria games”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018), 192–201; Comput. Math. Math. Phys., 58:2 (2018), 180–189
Linking options:
https://www.mathnet.ru/eng/zvmmf10672 https://www.mathnet.ru/eng/zvmmf/v58/i2/p192
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