Quadratic stochastic operators and zero-sum game dynamics

In this paper we consider the set of all extremal Volterra quadratic stochastic operators defined on a unit simplex S4 and show that such operators can be reinterpreted in terms of zero-sum games. We show that an extremal Volterra operator is non-ergodic and an appropriate zero-sum game is a rock-pa...

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Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Ganikhodjaev, Rasul, Jamilov, Uygun
Format: Article
Language:English
Published: Cambridge University Press 2015
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Online Access:http://irep.iium.edu.my/37341/1/37341.pdf
http://irep.iium.edu.my/37341/
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9805901
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