On the Usefulness of Cooperation in N Person Games
Joint Authors
Nikolskii, Mikhail Sergeevich
Moussa, Aboubacar
Source
Journal of Applied Mathematics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-13
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The N person games in which each player maximizes his payoff function are considered.
We have studied an interesting question for the cooperative game theory about the usefulness of uniting the N players in a union.
The aim of such cooperation is for each player to get a positive increase to his guaranteed payoff.
We have obtained some effective sufficient conditions under which the joining of the players in union is useful for each player.
The linear case, specially, is being considered.
In the second part of the paper, we have studied the question about the usefulness of cooperation of the N players in the presence of the (N+1)th player, an ill-intentioned destructive player, whose whole aim is not to win but to harm each player individually, and also the union of these players, for example, global terrorism.
It should be noted that the considered situation in the second part is related to A.
V.
Kryazhimskiy’s talk delivered in the summer of 2014.
We obtain constructive conditions under which the union of the players is beneficial in this situation as well.
American Psychological Association (APA)
Nikolskii, Mikhail Sergeevich& Moussa, Aboubacar. 2016. On the Usefulness of Cooperation in N Person Games. Journal of Applied Mathematics،Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1107244
Modern Language Association (MLA)
Nikolskii, Mikhail Sergeevich& Moussa, Aboubacar. On the Usefulness of Cooperation in N Person Games. Journal of Applied Mathematics No. 2016 (2016), pp.1-5.
https://search.emarefa.net/detail/BIM-1107244
American Medical Association (AMA)
Nikolskii, Mikhail Sergeevich& Moussa, Aboubacar. On the Usefulness of Cooperation in N Person Games. Journal of Applied Mathematics. 2016. Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1107244
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1107244