Exploitation of a Productive Asset in the Presence of Strategic Behavior and Pollution Externalities

Autor: Baris Vardar, Georges Zaccour
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Mathematics, Vol 8, Iss 1682, p 1682 (2020)
Mathematics
Volume 8
Issue 10
ISSN: 2227-7390
Popis: We study the strategic behavior of firms competing in the exploitation of a common-access productive asset, in the presence of pollution externalities. We consider a differential game with two state variables (asset stock and pollution stock), and by using a piecewise-linear approximation of the nonlinear asset growth function, we provide a tractable characterization of the symmetric feedback&ndash
Nash equilibrium with asymptotically stable steady state(s). The results show that the firm&rsquo
s strategy takes three forms depending on the pair of state variables and that different options for the model parameters lead to contrasting outcomes in both the short- and long-run equilibria.
Databáze: OpenAIRE