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Differentiated oligopolistic markets with concave cost functions via Ky Fan inequalities

Bigi, Giancarlo and Passacantando, Mauro (2017) Differentiated oligopolistic markets with concave cost functions via Ky Fan inequalities. Technical Report del Dipartimento di Informatica, TR . Università di Pisa, Pisa, IT. (Submitted)

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    Abstract

    A model for Nash-Cournot oligopolistic markets with concave cost functions and a differentiated commodity is analysed. Equilibrium states are characterized through Ky Fan inequalities. Relying on the minimization of a suitable merit function, a general algorithmic scheme for solving them is provided. Two concrete algorithms are therefore designed that converge under suitable convexity and monotonicity assumptions. The results of preliminary numerical tests on randomly generated markets are also reported.

    Item Type: Book
    Subjects: Area01 - Scienze matematiche e informatiche > INF/01 - Informatica
    Area01 - Scienze matematiche e informatiche > MAT/09 - Ricerca operativa
    Area13 - Scienze economiche e statistiche > SECS-S/06 - Metodi matematici dell'economia e delle scienze attuariali e finanziarie
    Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI INFORMATICA
    Depositing User: Giancarlo Bigi
    Date Deposited: 17 Jan 2017 09:03
    Last Modified: 17 Jan 2017 09:03
    URI: http://eprints.adm.unipi.it/id/eprint/2363

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