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.
Using an empirical stock-flow consistent (SFC) model for the French economy, we simulate an imported inflationary shock to emulate the current inflation situation and analyze the resulting macroeconomic impacts on the French economy. Two possible responses are considered: increased wage per capita so as to preserve workers’ purchasing power, increased margins by firms in order to restore their...
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