[图书][B] Time-inconsistent control theory with finance applications

T Björk, M Khapko, A Murgoci - 2021 - Springer
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 …

Me, myself and I: a general theory of non-Markovian time-inconsistent stochastic control for sophisticated agents

C Hernández, D Possamaï - The Annals of Applied Probability, 2023 - projecteuclid.org
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 …

Who are I: Time inconsistency and intrapersonal conflict and reconciliation

XD He, XY Zhou - … Analysis, Filtering, and Stochastic Optimization: A …, 2022 - Springer
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 …

Predictable forward performance processes: Infrequent evaluation and applications to human‐machine interactions

G Liang, MS Strub, Y Wang - Mathematical Finance, 2023 - Wiley Online Library
We study discrete‐time predictable forward processes when trading times do not coincide
with performance evaluation times in a binomial tree model for the financial market. The key …

Dynamic consumption and portfolio choice under prospect theory

S van Bilsen, RJA Laeven - Insurance: Mathematics and Economics, 2020 - Elsevier
This paper explicitly derives the optimal dynamic consumption and portfolio choice of an
individual with prospect theory preferences. The individual is loss averse, endogenously …

Optimal investment in defined contribution pension schemes with forward utility preferences

KTH Ng, WF Chong - Insurance: Mathematics and Economics, 2024 - Elsevier
Optimal investment strategies of an individual worker during the accumulation phase in the
defined contribution pension scheme have been well studied in the literature. Most of them …

How endogenization of the reference point affects loss aversion: a study of portfolio selection

XD He, MS Strub - Operations Research, 2022 - pubsonline.informs.org
We study the implications of various models of partially endogenous reference point
formation on optimal decision making in the context of portfolio optimization under loss …

Forward robust portfolio selection: The binomial case

H Waldon - Probability, Uncertainty and Quantitative Risk, 2024 - aimsciences.org
We introduce a new approach for optimal portfolio choice under model ambiguity by
incorporating predictable forward preferences in the framework of Angoshtari et al.[2]. The …

Pricing and hedging equity-linked life insurance contracts beyond the classical paradigm: The principle of equivalent forward preferences

WF Chong - Insurance: Mathematics and Economics, 2019 - Elsevier
By applying the principle of equivalent forward preferences, this paper revisits the pricing
and hedging problems for equity-linked life insurance contracts. The equity-linked …

Predictable forward performance processes in complete markets

B Angoshtari - arXiv preprint arXiv:2206.03608, 2022 - arxiv.org
We establish existence of Predictable Forward Performance Processes (PFPPs) in complete
markets, which has been previously shown only in the binomial setting. Our market model …