Category Reports

May
2016

Nonzero-sum Stochastic Differential Games with Impulse Controls and Applications to Retail Energy Markets

RR-Fime-16-05 Rene Aïd, Matteo Basei, Giorgia Callegaro, Luciano Campi, Tiziano Vargiolu We consider a singular control problem with regime switching that arises in problems of optimal investment decisions of cash-constrained ...

Apr
2016

Numerical Approximation of a Cash-Constrained Firm Value with Investment Opportunities

RR-Fime-16-04 Erwan Pierre, Stéphane Villeneuve, Xavier Warin We consider a singular control problem with regime switching that arises in problems of optimal investment decisions of cash-constrained firms. The value function ...

Mar
2016

Branching Diffusion Representation of Semilinear PDEs and Monte Carlo Approximation

RR-FiME-16-03 Pierre Henry-Labordère, Nadia Oudjane, Xiaolu Tan, Nizar Touzi, Xavier Warin We provide a representation result of parabolic semi-linear PD-Es, with polynomial nonlinearity, by branching diffusion processes. We extend the ...

Jan
2016

On the Control of the Difference between two Brownian Motions: A Dynamic Copula Approach

RR-FiME-16-02 Thomas DESCHATRE We propose new copulae to model the dependence between two Brownian motions and to control the distribution of their difference. Our approach is based on the copula ...

Jan
2016

Computing Expectations for General SDE with Pure Monte Carlo Methods

RR-FIME-16-01 Mahamadou Doumbia, Nadia Oudjane, Xavier Warin We develop a pure Monte Carlo method to compute E(g(XT )) where g is a bounded and Lipschitz function and Xt an Ito ...

Sep
2015

Stratified Regression Monte-Carlo Scheme For Semilinear PDES and BSDES with Large Scale Parallelization on GPUS

RR-FiME-15-04 E. GOBET, J. G. LOPEZ-SALAS, P. TURKEDJIEV, AND C. VAZQUEZ In this paper, we design a novel algorithm based on Least-Squares Monte Carlo (LSMC) in order to approximate the ...

Apr
2015

Probabilistic Representation of a Class of Non Conservative Nonlinear Partial Differential Equations

RR-FiME-15-02 Anthony LECAVIL, Nadia OUDJANE and Francesco RUSSO We introduce a new class of nonlinear Stochastic Differential Equations in the sense ofMcKean, related to non conservative nonlinear Partial Differential equations ...

Feb
2015

Strategic Capacity Investment under Hold-up Threats: The Role of Contract Length and Width

RR-FiME-15-05 Laure Durand-Viel and Bertrand Villeneuve We analyze the impact of the length of incomplete contracts on investment and surplus sharing. In the bilateral relationship explored, the seller controls the ...

Jan
2015

Prévention des catastrophes naturelles : viser le long terme sans attendre

RR-FiME-15-06 Céline Grislain-Letrémy and Bertrand Villeneuve Urbanization in areas prone to natural hazards is massive and will grow. Economic analysis offers several tools to contain this phenomenon: insurance pricing in ...

Jan
2015

Optimal Pits and Optimal TransportationConservative

RR-FiME-15-03 Ivar Ekeland and Maurice Queyranne  In open pit mining, one must dig a pit, that is, excavate the upper layers of ground before reaching the ore. The walls of ...

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