A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-17
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
An alternative to the Nash equilibrium (NE) is presented for two-person, one-shot prescriptive games in normal form, where the outcome is determined by an arbiter.
The NE is the fundamental solution concept in noncooperative game theory.
It is based on the assumption that players are completely selfish.
However, NEs are often not played in practice, so we present a cooperative dual as an alternative solution concept by which an arbiter can assign the players' actions.
In this dual equilibrium (DE), each player acts in the other's best interest.
We formally define prescriptive games and the DE, then summarize the duality relationships between the NE and DE for two players.
We also apply the DE to some prescriptive games and compare it to other outcomes.
American Psychological Association (APA)
Corley, H. W.& Kwain, Phantipa. 2014. A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-499598
Modern Language Association (MLA)
Corley, H. W.& Kwain, Phantipa. A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games. Journal of Applied Mathematics No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-499598
American Medical Association (AMA)
Corley, H. W.& Kwain, Phantipa. A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-499598
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499598