activity
20122026
most citedExistence and uniqueness results for BSDEs with jumps: the whole nine yards

42 citations · 163 across the 29 of their papers we have counts for

collaborators

44 papers

math.PR2026

Aggregation of value processes for semi-martingale BSDEs with jumps

Dylan Possamaï, Marco Rodrigues, Alexandros Saplaouras

We construct a measurable aggregator for the value processes associated with stochastic control problems, where the criterion to optimise is given by solutions to semi-martingale b…

q-fin.MF2026

Equilibrium prices under hidden Markov fundamentals

Henri Pagès, Dylan Possamaï, Mateo Rodriguez Polo

We study a representative-agent Epstein-Zin economy with geometric dividends and a hidden finite-state Markov drift. We allow the price-dividend ratio to contain an additional posi…

math.OC2026

Forcing and duality-corrected contracts for volatility control

Alessandro Chiusolo, Emma Hubert, Dylan Possamaï +1

In this paper, we revisit the construction of optimal incentives in continuous-time principal-agent problems with drift and volatility control. Originally, a general approach relyi…

math.OC2024

Closed-loop equilibria for Stackelberg games: a story about stochastic targets

Camilo Hernández, Nicolás Hernández Santibáñez, Emma Hubert +1

We provide a general approach to reformulating any continuous-time stochastic Stackelberg differential game under closed-loop strategies as a single-level optimisation problem with…

math.PR2023

Golden parachutes under the threat of accidents

Dylan Possamaï, Chiara Rossato

This paper addresses a continuous-time contracting model that extends the problem introduced by Sannikov and later rigorously analysed by Possamaï and Touzi. In our model, a princi…

math.PR2023

Randomisation with moral hazard: a path to existence of optimal contracts

Daniel Kršek, Dylan Possamaï

We study a generic principal-agent problem in continuous time on a finite time horizon. We introduce a framework in which the agent is allowed to employ measure-valued controls and…

math.PR2023

On the population size in stochastic differential games

Dylan Possamaï, Ludovic Tangpi

Commuters looking for the shortest path to their destinations, the security of networked computers, hedge funds trading on the same stocks, governments and populations acting to mi…

math.PR2023★ 2 cited

Mean-field games of optimal stopping: master equation and weak equilibria

Dylan Possamaï, Mehdi Talbi

We are interested in the study of stochastic games for which each player faces an optimal stopping problem. In our setting, the players may interact through the criterion to optimi…

math.PR2023

Randomness and early termination: what makes a game exciting?

Gaoyue Guo, Sam D. Howison, Dylan Possamaï +1

In this paper we revisit an open problem posed by Aldous on the max-entropy win-probability martingale: given two players of equal strength, such that the win-probability is a mart…

econ.TH2023

Time-inconsistent contract theory

Camilo Hernández, Dylan Possamaï

This paper investigates the moral hazard problem in finite horizon with both continuous and lump-sum payments, involving a time-inconsistent sophisticated agent and a standard util…

math.OC2021★ 2 cited

Pollution regulation for electricity generators in a transmission network

Nicolás Hernández Santibáñez, Alejandro Jofré, Dylan Possamaï

In this paper we study a pollution regulation problem in an electricity market with a network structure. The market is ruled by an independent system operator (ISO for short) who h…

math.PR2021

Stability of backward stochastic differential equations: the general case

Antonis Papapantoleon, Dylan Possamaï, Alexandros Saplaouras

In this paper, we obtain stability results for backward stochastic differential equations with jumps (BSDEs) in a very general framework. More specifically, we consider a convergen…

math.PR2021★ 2 cited

Non-asymptotic convergence rates for mean-field games: weak formulation and McKean-Vlasov BSDEs

Dylan Possamaï, Ludovic Tangpi

This work is mainly concerned with the so-called limit theory for mean-field games. Adopting the weak formulation paradigm put forward by Carmona and Lacker, we consider a fully no…

q-bio.PE2020★ 22 cited

Incentives, lockdown, and testing: from Thucydides's analysis to the COVID-19 pandemic

Emma Hubert, Thibaut Mastrolia, Dylan Possamaï +1

In this work, we provide a general mathematical formalism to study the optimal control of an epidemic, such as the COVID-19 pandemic, via incentives to lockdown and testing. In par…

econ.TH2020★ 3 cited

Is there a Golden Parachute in Sannikov's principal-agent problem?

Dylan Possamaï, Nizar Touzi

This paper provides a complete review of the continuous-time optimal contracting problem introduced by Sannikov, in the extended context allowing for possibly different discount ra…

math.OC2020

Me, myself and I: a general theory of non-Markovian time-inconsistent stochastic control for sophisticated agents

Camilo Hernández, Dylan Possamaï

We develop a theory for continuous-time non-Markovian stochastic control problems which are inherently time-inconsistent. Their distinguishing feature is that the classical Bellman…

math.PR2018★ 12 cited

Stability results for martingale representations: the general case

Antonis Papapantoleon, Dylan Possamai, Alexandros Saplaouras

In this paper, we obtain stability results for martingale representations in a very general framework. More specifically, we consider a sequence of martingales each adapted to its…

math.PR2017

Corrigendum for "Second-order reflected backward stochastic differential equations" and "Second-order BSDEs with general reflection and game options under uncertainty"

Anis Matoussi, Dylan Possamaï, Chao Zhou

The aim of this short note is to fill in a gap in our earlier paper [16] on 2BSDEs with reflections, and to explain how to correct the subsequent results in the second paper [15].…

math.OC2017

An adverse selection approach to power pricing

Clémence Alasseur, Ivar Ekeland, Romuald Elie +2

We study the optimal design of electricity contracts among a population of consumers with different needs. This question is tackled within the framework of Principal-Agent problems…

math.OC2017

On a class of path-dependent singular stochastic control problems

Romuald Elie, Ludovic Moreau, Dylan Possamaï

This paper studies a class of nonMarkovian singular stochastic control problems, for which we provide a novel probabilistic representation. The solution of such control problem…

econ.GN2017

Bank monitoring incentives under moral hazard and adverse selection

Nicolás Hernández Santibáñez, Dylan Possamaï, Chao Zhou

In this paper, we extend the optimal securitisation model of Pagès [50] and Possamaï and Pagès [51] between an investor and a bank to a setting allowing both moral hazard and adver…

math.PR2016

A tale of a Principal and many many Agents

Romuald Elie, Thibaut Mastrolia, Dylan Possamaï

In this paper, we investigate a moral hazard problem in finite time with lumpsum and continuous payments, involving infinitely many Agents with mean field type interactions, hir…

math.PR2016★ 42 cited

Existence and uniqueness results for BSDEs with jumps: the whole nine yards

Antonis Papapantoleon, Dylan Possamaï, Alexandros Saplaouras

This paper is devoted to obtaining a wellposedness result for multidimensional BSDEs with possibly unbounded random time horizon and driven by a general martingale in a filtration…

econ.GN2016★ 1 cited

Contracting theory with competitive interacting agents

Romuald Elie, Dylan Possamaï

In a framework close to the one developed by Holmström and Milgrom [44], we study the optimal contracting scheme between a Principal and several Agents. Each hired Agent is in char…