Double-Layer and Hybrid Dynamics of Equilibrium Problems: Applications to Markets of Environmental Products

We present here an original method of tracking the dynamics of an equilibrium problem using an evolutionary variational inequalities and hybrid dynamical systems approach. We apply our method to describe the time evolution of a differentiated product market model under incentive policies with a finite life span. In particular, we describe trajectories of a dynamic game between two producers of a standard product and of an environmental variant of the standard product. We compute and assess the behavior of both the equilibrium (optimal) strategies, as well as the disequilibrium (no-optimal) ones of each producer involved in the oligopolistic market.

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