An OLG Differential Game of Pollution Control with the Risk of a Catastrophic Climate Change

Wrzaczek, S. (2021). An OLG Differential Game of Pollution Control with the Risk of a Catastrophic Climate Change. International Game Theory Review 23 (4) e2250002. 10.1142/S0219198922500025.

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Project: Economics of Disruptive Change (EDC)


This paper studies an overlapping generations (OLG) differential game on optimal emissions with continuous age structure and different types of individuals. At the (stochastic) arrival of a catastrophic climate change, the utility and the damage to the stock of pollution change for the rest of the time horizon. We derive the open-loop (OL) Nash equilibrium and show that it is subgame perfect and moreover equal to the feedback Stackelberg one. We compare the solution to the cooperative one (using the social welfare as objective function) and show the different dynamic evolutions of optimal emissions over time. Finally, we derive a time-consistent tax scheme that reaches the cooperative optimal solution in the OL Nash equilibrium. The tax scheme turns out to be heterogeneous with respect to age and type (anticipating and nonanticipating the catastrophic climate change). Setting taxes that are homogeneous across the individual type leads to an OL Nash solution that produces socially optimal total emissions, but lower individual utilities.

Item Type: Article
Uncontrolled Keywords: OLG differential game; asynchronous time horizon; stochastic switching time; emissions; Nash equilibrium
Research Programs: Economic Frontiers (EF)
Depositing User: Michaela Rossini
Date Deposited: 29 Oct 2021 08:38
Last Modified: 18 Oct 2022 11:17

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