9 citations · 27 across the 12 of their papers we have counts for
13 papers
Entropic optimal planning for path-dependent mean field games
Zhenjie Ren, Xiaolu Tan, Nizar Touzi +1
In the context of mean field games, with possible control of the diffusion coefficient, we consider a path-dependent version of the planning problem introduced by P.L. Lions: given…
Ergodicity of the underdamped mean-field Langevin dynamics
Anna Kazeykina, Zhenjie Ren, Xiaolu Tan +1
We study the long time behavior of an underdamped mean-field Langevin (MFL) equation, and provide a general convergence as well as an exponential convergence rate result under diff…
Random horizon principal-agent problems
Yiqing Lin, Zhenjie Ren, Nizar Touzi +1
We consider a general formulation of the random horizon Principal-Agent problem with a continuous payment and a lump-sum payment at termination. In the European version of the prob…
Principal-agent problem with multiple principals
Kaitong Hu, Zhenjie Ren, Junjian Yang
We consider a moral hazard problem with multiple principals in a continuous-time model. The agent can only work exclusively for one principal at a given time, so faces an optimal s…
Nonlinear predictable representation and -solutions of backward SDEs and second-order backward SDEs
Zhenjie Ren, Nizar Touzi, Junjian Yang
The theory of backward SDEs extends the predictable representation property of Brownian motion to the nonlinear framework, thus providing a path-dependent analog of fully nonlinear…
Second order backward SDE with random terminal time
Yiqing Lin, Zhenjie Ren, Nizar Touzi +1
Backward stochastic differential equations extend the martingale representation theorem to the nonlinear setting. This can be seen as path-dependent counterpart of the extension fr…
Utility maximization problem under transaction costs: optimal dual processes and stability
Lingqi Gu, Yiqing Lin, Junjian Yang
This paper discusses the numéraire-based utility maximization problem in markets with proportional transaction costs. In particular, the investor is required to liquidate all her p…
Shadow prices, fractional Brownian motion, and portfolio optimisation under transaction costs
Christoph Czichowsky, Rémi Peyre, Walter Schachermayer +1
We continue the analysis of our previous paper (Czichowsky/Schachermayer/Yang 2014) pertaining to the existence of a shadow price process for portfolio optimisation under proportio…
Utility maximization problem with random endowment and transaction costs: when wealth may become negative
Yiqing Lin, Junjian Yang
In this paper we study the problem of maximizing expected utility from the terminal wealth with proportional transaction costs and random endowment. In the context of the existence…
A note on utility maximization with transaction costs and random endoment: numéraire-based model and convex duality
Lingqi Gu, Yiqing Lin, Junjian Yang
In this note, we study the utility maximization problem on the terminal wealth under proportional transaction costs and bounded random endowment. In particular, we restrict ourselv…
On the existence of shadow prices for optimal investment with random endowment
Lingqi Gu, Yiqing Lin, Junjian Yang
In this paper, we consider a numéraire-based utility maximization problem under constant proportional transaction costs and random endowment. Assuming that the agent cannot short s…
On the dual problem of utility maximization in incomplete markets
Lingqi Gu, Yiqing Lin, Junjian Yang
In this paper, we study the dual problem of the expected utility maximization in incomplete markets with bounded random endowment. We start with the problem formulated in the paper…
Shadow prices for continuous processes
Christoph Czichowsky, Walter Schachermayer, Junjian Yang
In a financial market with a continuous price process and proportional transaction costs we investigate the problem of utility maximization of terminal wealth. We give sufficient c…