  The paper deals with a class of parametrized 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 is thoroughly
investigated. This theory is then applied to evolution of a oligopolistic
market in which the firms adopt 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.
