ON SOME PROPERTIES OF SUPERPOSITION OF OPTIMALITY PRINCIPLES FOR COOPERATIVE GAMES

Sergei V. Chistyakov and Svetlana Y. Mikhajlova
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Sergei V. Chistyakov: Faculty of Applied Mathematics and Control Processes Faculty, St. Petersburg State University, Bibliotechnaya sq. 2, 198904, Petrodvorets, St. Petersburg, Russia
Svetlana Y. Mikhajlova: Faculty of Applied Mathematics and Control Processes Faculty, St. Petersburg State University, Bibliotechnaya sq. 2, 198904, Petrodvorets, St. Petersburg, Russia

International Game Theory Review (IGTR), 2000, vol. 02, issue 01, 107-116

Abstract: The aim of this paper is to study the properties of superposition of optimality principles depending on the properties of optimality principles, which it is formed from. Some sufficient conditions for quasiperfectness of superposition of two optimality principles are found. It is shown, in particular, that superposition of any optimality principle like min-max principle with any monotone and continuous optimality principle is a quasiperfect optimality principle.

JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S021919890000007X

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