The discount rate is a tool used to measure the preference for immediate gratification or utility over delayed gratification. This paper considers the modified Merton problem of an economic agent maximizing his utility from consumption and final wealth when his discount rate is not constant. The...

We study optimal time-consistent distortionary taxation when the repayment of government debt is not enforceable. The government taxes labor income or issues noncontingent debt in order to finance an exogenous stream of stochastic government expenditures. The government can repudiate its debt...

We investigate the time-consistent mean-variance (MV) portfolio optimization problem under a realistic context that involves the simultaneous application of different types of investment constraints and modelling assumptions, for which a closed-form solution is not known to exist. We develop an...

In this paper, time-inconsistent model was established under stochastic differential game framework. The investment portfolio includes multi-risky assets, whose returns are assumed to be correlated in a time-varying manner and change cyclically. The claim losses of insurance companies and...

This paper establishes a general analytical framework for continuous-time stochastic control problems for an ambiguity-averse agent (AAA) with time-inconsistent preference, where the control problems do not satisfy Bellman's principle of optimality. The AAA is concerned about model uncertainty...

Do individuals anticipate present bias in others? This paper jointly investigates beliefs about one's own and others' present bias. In an online experiment, participants engaged in a real-effort task display little awareness of their own present bias, but anticipate present bias in others....

We study conditional expectiles, defined as a natural generalisation of conditional expectations by means of the minimisation of an asymmetric quadratic loss function. We show that conditional expectiles can be equivalently characterised by a conditional first order condition and we derive their...

Quite recently, a great interest has been devoted to time-consistency of risk measures in its different formulations (see Delbaen, Follmer and Penner, Bion-Nadal, Delbaen et al., Laeven and Stadje, among many others). However, almost all the papers address to coherent or convex risk measures...