The purpose of this book is to present an overview of, and introduction to, the time-
inconsistent control theory developed by the authors during the last decade. The theory is …

We develop a theory for continuous-time non-Markovian stochastic control problems which
are inherently time-inconsistent. Their distinguishing feature is that the classical Bellman …

We consider the game-theoretic approach to time-inconsistent stop** of a one-
dimensional diffusion where the time-inconsistency is due to the presence of a …

Standard Markovian optimal stop** problems are consistent in the sense that the first
entrance time into the stop** set is optimal for each initial state of the process. Clearly, the …

A new notion of equilibrium, which we call strong equilibrium, is introduced for time‐
inconsistent stop** problems in continuous time. Compared to the existing notions …

Time inconsistency is prevalent in dynamic choice problems: a plan of actions to be taken in
the future that is optimal for an agent today may not be optimal for the same agent in the …

An unconventional approach for optimal stop** under model ambiguity is introduced.
Besides ambiguity itself, we take into account how ambiguity‐averse an agent is. This …

This paper considers time-inconsistent stop** problems in which the inconsistency arises
from a class of nonexponential discount functions called weighted discount functions. We …