Search Results - "COSSO, ANDREA"
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Randomized dynamic programming principle and Feynman-Kac representation for optimal control of McKean-Vlasov dynamics
Published in Transactions of the American Mathematical Society (01-03-2018)“…We analyze a stochastic optimal control problem, where the state process follows a McKean-Vlasov dynamics and the diffusion coefficient can be degenerate. We…”
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Long time asymptotics for fully nonlinear Bellman equations: A backward SDE approach
Published in Stochastic processes and their applications (01-07-2016)“…We study the large time behavior of solutions to fully nonlinear parabolic equations of Hamilton–Jacobi–Bellman type arising typically in stochastic control…”
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On smooth approximations in the Wasserstein space
Published in Electronic communications in probability (01-01-2023)Get full text
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PATH-DEPENDENT EQUATIONS AND VISCOSITY SOLUTIONS IN INFINITE DIMENSION
Published in The Annals of probability (01-01-2018)“…Path-dependent partial differential equations (PPDEs) are natural objects to study when one deals with non-Markovian models. Recently, after the introduction…”
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BACKWARD SDES FOR OPTIMAL CONTROL OF PARTIALLY OBSERVED PATH-DEPENDENT STOCHASTIC SYSTEMS: A CONTROL RANDOMIZATION APPROACH
Published in The Annals of applied probability (01-06-2018)“…We introduce a suitable backward stochastic differential equation (BSDE) to represent the value of an optimal control problem with partial observation for a…”
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Optimal control of path-dependent McKean–Vlasov SDEs in infinite-dimension
Published in The Annals of applied probability (01-08-2023)“…We study the optimal control of path-dependent McKean–Vlasov equations valued in Hilbert spaces motivated by non-Markovian mean-field models driven by…”
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BACKWARD SDE REPRESENTATION FOR STOCHASTIC CONTROL PROBLEMS WITH NONDOMINATED CONTROLLED INTENSITY
Published in The Annals of applied probability (01-04-2016)“…We are interested in stochastic control problems coming from mathematical finance and, in particular, related to model uncertainty, where the uncertainty…”
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Portfolio choices and VaR constraint with a defaultable asset
Published in Quantitative finance (04-05-2015)“…We consider a Constant Elasticity of Variance (CEV) model for the asset price of a defaultable asset showing the so-called leverage effect (high volatility…”
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Equilibrium price in intraday electricity markets
Published in Mathematical finance (01-04-2022)“…We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus…”
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The value of informational arbitrage
Published in Finance and stochastics (01-04-2020)“…In the context of a general semimartingale model, we aim at determining how much an investor is willing to pay to learn additional information that allows…”
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Optimal investment with intermediate consumption under no unbounded profit with bounded risk
Published in Journal of applied probability (01-09-2017)“…We consider the problem of optimal investment with intermediate consumption in a general semimartingale model of an incomplete market, with preferences being…”
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Reflected BSDEs with nonpositive jumps, and controller-and-stopper games
Published in Stochastic processes and their applications (01-02-2015)“…We study a class of reflected backward stochastic differential equations with nonpositive jumps and upper barrier. Existence and uniqueness of a minimal…”
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American option valuation in a stochastic volatility model with transaction costs
Published in Stochastics (Abingdon, Eng. : 2005) (04-05-2015)“…In the present paper we analyse the American option valuation problem in a stochastic volatility model when transaction costs are taken into account. We shall…”
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On smooth approximations in the Wasserstein space
Published 11-08-2023“…Electron. Commun. Probab. 28: 1-11 (2023) In this paper we investigate the approximation of continuous functions on the Wasserstein space by smooth functions,…”
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Crandall-Lions Viscosity Solutions for Path-Dependent PDEs: The Case of Heat Equation
Published 29-11-2019“…We address our interest to the development of a theory of viscosity solutions {\`a} la Crandall-Lions for path-dependent partial differential equations (PDEs),…”
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A Tikhonov theorem for McKean-Vlasov two-scale systems and a new application to mean field optimal control problems
Published 23-12-2022“…We provide a new version of the Tikhonov theorem for both two-scale forward systems and also two-scale forward-backward systems of stochastic differential…”
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Zero-sum stochastic differential games of generalized McKean-Vlasov type
Published 20-03-2018“…We study zero-sum stochastic differential games where the state dynamics of the two players is governed by a generalized McKean-Vlasov (or mean-field)…”
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Equilibrium price in intraday electricity markets
Published 19-10-2020“…We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus…”
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Master Bellman equation in the Wasserstein space: Uniqueness of viscosity solutions
Published 22-07-2021“…We study the Bellman equation in the Wasserstein space arising in the study of mean field control problems, namely stochastic optimal control problems for…”
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