Research output: Contribution to journal › Article › peer-review
Construction of unique in the sense of payoffs nash equilibria in the game with perfect information. / Petrosjan, L. A.
In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 2, 01.12.1999, p. 49-55.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Construction of unique in the sense of payoffs nash equilibria in the game with perfect information
AU - Petrosjan, L. A.
PY - 1999/12/1
Y1 - 1999/12/1
N2 - A nonzerosum game with perfect information is considered. The new notion of player's "type" is introduced as a vector whose components define its relations to the other players. In the case of equivalent alternatives the decision is made with the help of the relations-vector. A pair consisting of a relations-vector and a strategy (in the usual sense) is called "type-strategy". It is proved that in the case the relation-vectors are common knowledge for all players in the game there exists a unique in the sense of payoffs Nash equilibria. The examples show the dependence of Nash equilibria from player types.
AB - A nonzerosum game with perfect information is considered. The new notion of player's "type" is introduced as a vector whose components define its relations to the other players. In the case of equivalent alternatives the decision is made with the help of the relations-vector. A pair consisting of a relations-vector and a strategy (in the usual sense) is called "type-strategy". It is proved that in the case the relation-vectors are common knowledge for all players in the game there exists a unique in the sense of payoffs Nash equilibria. The examples show the dependence of Nash equilibria from player types.
UR - http://www.scopus.com/inward/record.url?scp=77949682120&partnerID=8YFLogxK
M3 - статья
AN - SCOPUS:77949682120
SP - 49
EP - 55
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
SN - 1025-3106
IS - 2
ER -
ID: 36953174