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On computation of optimal strategies in oligopolistic markets respecting the cost of change
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SYSNO ASEP 0531319 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On computation of optimal strategies in oligopolistic markets respecting the cost of change Author(s) Outrata, Jiří (UTIA-B) RID, ORCID
Valdman, Jan (UTIA-B) RID, ORCIDSource Title Mathematical Methods of Operations Research. - : Springer - ISSN 1432-2994
Roč. 92, č. 3 (2020), s. 489-509Number of pages 21 s. Publication form Print - P Language eng - English Country DE - Germany Keywords Generalized equation ; Equilibrium ; Cost of Change Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA17-08182S GA ČR - Czech Science Foundation (CSF) GA17-04301S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support UTIA-B - RVO:67985556 UT WOS 000551004500001 EID SCOPUS 85088297119 DOI https://doi.org/10.1007/s00186-020-00721-x Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2021 Electronic address https://link.springer.com/article/10.1007/s00186-020-00721-x
Number of the records: 1