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Solving Nash Equilibria in Nonlinear Differential Games for Common-Pool Resources
Yongyang Cai, Anastasios Xepapadeas, Aart de Zeeuw
https://arxiv.org/abs/2506.06646

Solving Nash Equilibria in Nonlinear Differential Games for Common-Pool Resources
Many resources are provided by an ecological system that is vulnerable to tipping when exceeding a certain level of pollution, with a sudden big loss of ecosystem services. An ecological system is usually also a common-pool resource and therefore vulnerable to suboptimal use resulting from non-cooperative behavior. An analysis requires methods to derive cooperative and non-cooperative solutions for managing a dynamical system with tipping points. Such a game is a differential game which has two…