0531319 20240103224259.320200731235959.9 85088297119 000551004500001 10.1007/s00186-020-00721-x On computation of optimal strategies in oligopolistic markets respecting the cost of change 21 s. P cav_un_epca*02542751432-2994Mathematical Methods of Operations Research923 (2020)489-509Springer Generalized equation Equilibrium Cost of Change cav_un_auth*0101173 Outrata Jiří UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0292941 Valdman Jan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2020/MTR/outrata-0531319.pdf https://link.springer.com/article/10.1007/s00186-020-00721-x GA17-08182S GA ČR cav_un_auth*0348851 GA17-04301S GA ČR cav_un_auth*0347023 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. WOS BA 10000 10100 10101 2021 RVO:67985556 http://hdl.handle.net/11104/0309996 S 3+4 Article Operations Research Management Science|Mathematics Applied A OPERATIONSRESEARCH&MANAGEMENTSCIENCE|MATHEMATICS.APPLIED 1.503 0.34 13.1 0.00125 0.653 1278 56 0.524 31.37 1.14 146 Q2 1.271 50 Q3 37.3 33.3 Q3 Q3 0.47 Q3 48.113 2020 85088297119 SCOPUS PUBMED 000551004500001 WOS cav_un_epca*0254275 Mathematical Methods of Operations Research 1432-2994 1432-5217 Roč. 92 č. 3 2020 489 509 Springer