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Twelve monotonicity conditions arising from algorithms for equilibrium problems

Bigi, Giancarlo and Passacantando, Mauro (2013) Twelve monotonicity conditions arising from algorithms for equilibrium problems. Technical Report del Dipartimento di Informatica . Università di Pisa, Pisa, IT.

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    In the last years many solution methods for equilibrium problems (EPs) have been developed. Several different monotonicity conditions have been exploited to prove convergence. The paper investigates all the relationships between them in the framework of the so-called abstract EP. The analysis is further detailed for variational inequalities and linear equilibrium problems, which include also Nash equilibrium problems with quadratic payoffs.

    Item Type: Book
    Uncontrolled Keywords: equilibrium problems; monotonicity; variational inequalities; Nash equilibria
    Subjects: Area01 - Scienze matematiche e informatiche > INF/01 - Informatica
    Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI INFORMATICA
    Depositing User: dott.ssa Sandra Faita
    Date Deposited: 22 Oct 2014 14:53
    Last Modified: 22 Oct 2014 17:05
    URI: http://eprints.adm.unipi.it/id/eprint/2313

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