Mean field and n‐agent games for optimal investment under relative performance criteria

D Lacker, T Zariphopoulou - Mathematical Finance, 2019 - Wiley Online Library
We analyze a family of portfolio management problems under relative performance criteria,
for fund managers having CARA or CRRA utilities and trading in a common investment …

Many-player games of optimal consumption and investment under relative performance criteria

D Lacker, A Soret - Mathematics and Financial Economics, 2020 - Springer
We study a portfolio optimization problem for competitive agents with CRRA utilities and a
common finite time horizon. The utility of an agent depends not only on her absolute wealth …

Forward utilities and mean-field games under relative performance concerns

G Dos Reis, V Platonov - From Particle Systems to Partial Differential …, 2021 - Springer
We introduce the concept of mean field games for agents using Forward utilities of CARA
type to study a family of portfolio management problems under relative performance …

Forward utility and market adjustments in relative investment-consumption games of many players

G Dos Reis, V Platonov - SIAM Journal on Financial Mathematics, 2022 - SIAM
We study a portfolio management problem featuring many-player and mean field
competition, investment and consumption, and relative performance concerns under the …

[HTML][HTML] Optimal investment strategies under the relative performance in jump-diffusion markets

B Aydoğan, M Steffensen - Decisions in Economics and Finance, 2024 - Springer
We work on a portfolio management problem for one agent and a large group of agents
under relative performance concerns in jump-diffusion markets with the CRRA utility …

Competition in fund management and forward relative performance criteria

M Anthropelos, T Geng, T Zariphopoulou - SIAM Journal on Financial …, 2022 - SIAM
In an Itô-diffusion market, two fund managers trade under relative performance concerns.
For both the asset specialization and diversification settings, we analyze the passive and …

On quadratic multidimensional type-I BSVIEs, infinite families of BSDEs and their applications

C Hernández - Stochastic Processes and their Applications, 2023 - Elsevier
This paper investigates multidimensional extended type-I BSVIEs and infinite families of
BSDEs in the case of quadratic generators. We establish existence and uniqueness results …

Mean field exponential utility game: A probabilistic approach

G Fu, X Su, C Zhou - arXiv preprint arXiv:2006.07684, 2020 - arxiv.org
We study an $ N $-player and a mean field exponential utility game. Each player manages
two stocks; one is driven by an individual shock and the other is driven by a common shock …

[HTML][HTML] Multidimensional Markovian FBSDEs with super-quadratic growth

M Kupper, P Luo, L Tangpi - Stochastic Processes and their Applications, 2019 - Elsevier
We give local and global existence and uniqueness results for multidimensional coupled
FBSDEs for generators with arbitrary growth in the control variable. The local existence …

A mean field game approach to optimal investment and risk control for competitive insurers

L Bo, S Wang, C Zhou - Insurance: Mathematics and Economics, 2024 - Elsevier
We consider an insurance market consisting of multiple competitive insurers with a mean
field interaction via their terminal wealth under the exponential utility with relative …