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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2010 Volume 2, Issue 4, Pages 3–24 (Mi mgta45)

Game-theoretical model of quality management under competition

Margarita A. Gladkova, Nikolay A. Zenkevich

Graduate School of Management, St. Petersburg University

Abstract: In the paper a game-theoretical model of quality management under competition is suggested. This model is presented as a two-stage game where production companies compete on an industrial market and consumer's taste to quality in non-uniformly distributed. The strong Nash equilibrium in the investigated game was obtained in explicit form which allowed us to evaluate prices, companies market shares and revenues in the equilibrium. A case study for Internet-trading systems was used to approve the suggested quality management mechanism.

Keywords: quality evaluation, quality measurement, consumer's taste to quality, quality management, two-stage game, Nash equilibrium, Stakelberg equilibrium, Pareto-optimal solution, optimal quality differentiation, index of consumers satisfaction.

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