Taming the spread of an epidemic by lockdown policies

S Federico, G Ferrari - Journal of mathematical economics, 2021 - Elsevier
We study the problem of a policymaker who aims at taming the spread of an epidemic while
minimizing its associated social costs. The main feature of our model lies in the fact that the …

Nonzero-sum stochastic differential games with impulse controls: a verification theorem with applications

R Aïd, M Basei, G Callegaro… - Mathematics of …, 2020 - pubsonline.informs.org
We consider a general nonzero-sum impulse game with two players. The main
mathematical contribution of this paper is a verification theorem that provides, under some …

A semi‐Lagrangian ε ε‐monotone Fourier method for continuous withdrawal GMWBs under jump‐diffusion with stochastic interest rate

Y Lu, DM Dang - Numerical Methods for Partial Differential …, 2024 - Wiley Online Library
We develop an efficient pricing approach for guaranteed minimum withdrawal benefits
(GMWBs) with continuous withdrawals under a realistic modeling setting with jump …

A zero-sum stochastic differential game with impulses, precommitment, and unrestricted cost functions

P Azimzadeh - Applied Mathematics & Optimization, 2019 - Springer
We study a zero-sum stochastic differential game (SDG) in which one controller plays an
impulse control while their opponent plays a stochastic control. We consider an asymmetric …

Convergence of implicit schemes for Hamilton--Jacobi--bellman quasi-Variational inequalities

P Azimzadeh, E Bayraktar, G Labahn - SIAM Journal on Control and …, 2018 - SIAM
In [P. Azimzadeh and PA Forsyth, SIAM J. Numer. Anal., 54 (2016), pp. 1341--1364], we
outlined the theory and implementation of computational methods for implicit schemes for …

Risk sensitive optimal stop**

D Jelito, M Pitera, Ł Stettner - Stochastic Processes and their Applications, 2021 - Elsevier
In this paper we consider continuous time risk sensitive optimal stop** problem. Using the
probabilistic approach and dyadic discrete time approximations we prove continuity of the …

Zero-sum stochastic differential game in finite horizon involving impulse controls

B El Asri, S Mazid - Applied Mathematics & Optimization, 2020 - Springer
This paper considers the problem of two-player zero-sum stochastic differential game with
both players adopting impulse controls in finite horizon under rather weak assumptions on …

Optimal consumption and investment under relative performance criteria with Epstein-Zin utility

J Dianetti, F Riedel, L Stanca - arxiv preprint arxiv:2402.07698, 2024 - arxiv.org
We consider the strategic interaction of traders in a continuous-time financial market with
Epstein-Zin-type recursive intertemporal preferences and performance concerns. We derive …

Impulse control in finance: numerical methods and viscosity solutions

P Azimzadeh - arxiv preprint arxiv:1712.01647, 2017 - arxiv.org
The goal of this thesis is to provide efficient and provably convergent numerical methods for
solving partial differential equations (PDEs) coming from impulse control problems …

Irreversible investment with fixed adjustment costs: a stochastic impulse control approach

S Federico, M Rosestolato, E Tacconi - Mathematics and Financial …, 2019 - Springer
We consider an optimal stochastic impulse control problem over an infinite time horizon
motivated by a model of irreversible investment choices with fixed adjustment costs. By …