Published in Finance and Stochastics (Volume 22).
Under non-exponential discounting, we develop a dynamic theory for stopping problems in continuous time. Our framework covers discount functions that induce decreasing impatience. Due to the inherent time inconsistency, we look for equilibrium stopping policies, formulated as fixed points of an operator. Under appropriate conditions, fixed-point iterations converge to equilibrium stopping policies.
This iterative approach corresponds to the hierarchy of strategic reasoning in game theory and provides “agent-specific” results: it assigns one specific equilibrium stopping policy to each agent according to her initial behavior. In particular, it leads to a precise mathematical connection between the naive behavior and the sophisticated one. Our theory is illustrated in a real options model.
We propose an exploratory and theoretical study which introduces how and why a particular and innovative ecological accounting approach, the CARE model, currently called upon by a growing number of practitioners and researchers, is a relevant framework to re-conceptualise the issue of climate finance