We introduce a category that represents varying risk as well as uncertainty, and give a generalized conditional expectation as a contravariant functor on the category. Then, we reformulate dynamic monetary value measures as a contravariant functor on the category. We show some axioms of dynamic...

We introduce a notion of market times that are stochastic processes in order to represent information delay in structural credit risk models. The market times are extensions of the time change process introduced by Guo, Jarrow and Zeng in the sense that each component of the market time is not...

Consumer multi-homing is considered to be critical for competition policy regarding digital platforms. To assess the role of consumer multi-homing in competition policy toward platforms, we develop a new framework that embeds consumer multi-homing in two-sided market into the otherwise standard...