Research output: Contribution to journal › Article › peer-review
On the stability of E-equilibrium in the class of mixed strategies. / Petrosyan, L. A.; Kuzyutin, D. V.
In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 3, 01.07.1995, p. 54-59.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On the stability of E-equilibrium in the class of mixed strategies
AU - Petrosyan, L. A.
AU - Kuzyutin, D. V.
PY - 1995/7/1
Y1 - 1995/7/1
N2 - The investigation of the dynamic stability of solutions in positional games with the incomplete information has been carried out in the class of mixed strategies for n persons. The theorem about the strong dynamic stability of the E-equilibrium set in mixed strategies has been proved. The simplest positional game with two players has been considered which has shown the dynamic instability of the optimization principle. The similar exclusions should be taken into account at studying of the solution stability in different classes of n-person games using mixed strategies.
AB - The investigation of the dynamic stability of solutions in positional games with the incomplete information has been carried out in the class of mixed strategies for n persons. The theorem about the strong dynamic stability of the E-equilibrium set in mixed strategies has been proved. The simplest positional game with two players has been considered which has shown the dynamic instability of the optimization principle. The similar exclusions should be taken into account at studying of the solution stability in different classes of n-person games using mixed strategies.
UR - http://www.scopus.com/inward/record.url?scp=0029336388&partnerID=8YFLogxK
M3 - статья
AN - SCOPUS:0029336388
SP - 54
EP - 59
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
SN - 1025-3106
IS - 3
ER -
ID: 36951905