Robust utility maximization with nonlinear continuous semimartingales
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Publication:6051347
DOI10.1007/s11579-023-00342-yzbMath1522.91214arXiv2206.14015OpenAlexW4385949721MaRDI QIDQ6051347
Publication date: 20 September 2023
Published in: Mathematics and Financial Economics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.14015
duality theoryKnightian uncertaintyrobust utility maximizationsemimartingale characteristicsnonlinear continuous semimartingalesrobust market price of risk
Utility theory (91B16) Optimal stochastic control (93E20) Martingales with continuous parameter (60G44) Portfolio theory (91G10)
Cites Work
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- A one-dimensional diffusion hits points fast
- Random \(G\)-expectations
- Pathwise construction of stochastic integrals
- A stochastic control problem with delay arising in a pension fund model
- The robust Merton problem of an ambiguity averse investor
- Calcul stochastique et problèmes de martingales
- Convergence of integral functionals of one-dimensional diffusions
- Robust superhedging with jumps and diffusion
- A variational problem arising in financial economics
- Optimal consumption and portfolio choice with ambiguous interest rates and volatility
- The theory of stochastic processes. III.
- Optimal consumption and portfolio policies when asset prices follow a diffusion process
- Consumption and portfolio policies with incomplete markets and short-sale constraints: The infinite dimensional case
- The finiteness of moments of a stochastic exponential.
- The asymptotic elasticity of utility functions and optimal investment in incomplete markets
- Robust expected utility maximization with medial limits
- Multiple-priors optimal investment in discrete time for unbounded utility function
- Duality theory for robust utility maximisation
- No arbitrage in continuous financial markets
- On infinitesimal generators of sublinear Markov semigroups
- Superreplication under model uncertainty in discrete time
- Affine processes under parameter uncertainty
- Consumption-investment problem with pathwise ambiguity under logarithmic utility
- Arbitrage and duality in nondominated discrete-time models
- Constructing sublinear expectations on path space
- The numéraire portfolio in semimartingale financial models
- The mathematics of arbitrage
- Equivalent and absolutely continuous measure changes for jump-diffusion processes
- Multidimensional diffusion processes.
- UTILITY MAXIMIZATION UNDER MODEL UNCERTAINTY IN DISCRETE TIME
- Nonlinear Lévy processes and their characteristics
- Optimal Investment under Model Uncertainty in Nondominated Models
- Martingale and Duality Methods for Utility Maximization in an Incomplete Market
- Optimal Portfolio and Consumption Decisions for a “Small Investor” on a Finite Horizon
- Weak and strong solutions of stochastic differential equations
- Measurable relations
- Martin's axiom and medial functions.
- [https://portal.mardi4nfdi.de/wiki/Publication:4194221 Espaces de semi martingales et changement de probabilit�]
- A Stochastic Calculus Model of Continuous Trading: Optimal Portfolios
- ROBUST UTILITY MAXIMIZATION WITH LÉVY PROCESSES
- Robust Consumption-Investment with Return Ambiguity: A Dual Approach with Volatility Ambiguity
- Foundations of Modern Probability
- The Robust Superreplication Problem: A Dynamic Approach
- Compactness criterion for semimartingale laws and semimartingale optimal transport
- Probability-1
- Robust consumption‐investment problem under CRRA and CARA utilities with time‐varying confidence sets
- Convergence of stochastic processes