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On computation of optimal strategies in oligopolistic markets respecting the cost of change

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    0531319 - ÚTIA 2021 RIV DE eng J - Journal Article
    Outrata, Jiří - Valdman, Jan
    On computation of optimal strategies in oligopolistic markets respecting the cost of change.
    Mathematical Methods of Operations Research. Roč. 92, č. 3 (2020), s. 489-509. ISSN 1432-2994. E-ISSN 1432-5217
    R&D Projects: GA ČR GA17-08182S; GA ČR GA17-04301S
    Institutional support: RVO:67985556
    Keywords : Generalized equation * Equilibrium * Cost of Change
    Subject RIV: BA - General Mathematics
    OECD category: Pure mathematics
    Impact factor: 1.343, year: 2020
    Method of publishing: Open access
    http://library.utia.cas.cz/separaty/2020/MTR/outrata-0531319.pdf https://link.springer.com/article/10.1007/s00186-020-00721-x

    The paper deals with a class of parameterized equilibrium problems, where the objectives of the players do possess nonsmooth terms. The respective Nash equilibria can be characterized via a parameter-dependent variational inequality of the second kind, whose Lipschitzian stability, under appropriate conditions, is established. This theory is then applied to evolution of an oligopolistic market in which the firms adapt their production strategies to changing input costs, while each change of the production is associated with some “costs of change”. We examine both the Cournot-Nash equilibria as well as the two-level case, when one firm decides to take over the role of the Leader (Stackelberg equilibrium). The impact of costs of change is illustrated by academic examples.
    Permanent Link: http://hdl.handle.net/11104/0309996

     
     
Number of the records: 1