×

Resource extraction vs. recycling - a differential game approach. (English) Zbl 0684.90024

Summary: We consider the problem of recycling of an exhaustive resource. A given amount of the resource is assumed to be “essential” for production of a consumption good in the sense that the resource cannot be substituted by another input or another production technology.
Two-player nonzero-sum differential games are discussed, where one player can extract the resource and the other one can regain the resource by recycling. These differential games are discussed due to different solution concepts: (1) Nash equilibria, (2) Stackelberg equilibria. In case (2) leadership is discussed subsequently for both players.

MSC:

91B76 Environmental economics (natural resource models, harvesting, pollution, etc.)
91B62 Economic growth models
91A23 Differential games (aspects of game theory)
91A40 Other game-theoretic models
93A13 Hierarchical systems