Linear programming fictitious play algorithm for mean field games with optimal stop** and absorption

R Dumitrescu, M Leutscher… - … Modelling and Numerical …, 2023 - esaim-m2an.org
We develop the fictitious play algorithm in the context of the linear programming approach
for mean field games of optimal stop** and mean field games with regular control and …

Time-varying boundaries for diffusion models of decision making and response time

S Zhang, MD Lee, J Vandekerckhove, G Maris… - Frontiers in …, 2014 - frontiersin.org
Diffusion models are widely-used and successful accounts of the time course of two-choice
decision making. Most diffusion models assume constant boundaries, which are the …

An elementary approach to the inverse first-passage-time problem for soft-killed Brownian motion

A Klump, M Kolb - Journal of Applied Probability, 2024 - cambridge.org
We prove existence and uniqueness for the inverse-first-passage time problem for soft-killed
Brownian motion using rather elementary methods relying on basic results from probability …

Geometry of distribution-constrained optimal stop** problems

M Beiglböck, M Eder, C Elgert, U Schmock - Probability theory and related …, 2018 - Springer
We adapt ideas and concepts developed in optimal transport (and its martingale variant) to
give a geometric description of optimal stop** times τ τ of Brownian motion subject to the …

Hydrodynamic limit of N-branching Markov processes

J Bérard, B Frénais - ar**/10.1214/16-AAP1172.pdf" data-clk="hl=en&sa=T&oi=gga&ct=gga&cd=8&d=10585070020304923618&ei=qE2sZ_zGJNaIieoP4pXqgQk" data-clk-atid="4mvp8hm55ZIJ" target="_blank">[PDF] projecteuclid.org

The inverse first-passage problem and optimal stop**

E Ekström, S Janson - 2016 - projecteuclid.org
Given a survival distribution on the positive half-axis and a Brownian motion, a solution of
the inverse first-passage problem consists of a boundary so that the first passage time over …

The inverse first-passage time problem as hydrodynamic limit of a particle system

A Klump - Methodology and Computing in Applied Probability, 2023 - Springer
We study a particle system without branching but with selection at timepoints depending on
a given probability distribution on the positive real line. The hydrodynamic limit of the particle …