activity
20192025
most citedStationary Equilibria of Mean Field Games with Finite State and Action Space

19 citations · 21 across the 7 of their papers we have counts for

collaborators

8 papers

math.OC2025

An Irreversible Investment Problem with Incomplete Information about Profitability

Fabian Gierens, Berenice Anne Neumann

We analyze an irreversible investment decision for a project which yields a flow of future operating profits given by a geometric Brownian motion with unknown drift. In contrast to…

math.OC2024

Finite State Mean Field Games with Common Shocks

Berenice Anne Neumann, Frank T. Seifried

We present a novel framework for mean field games with finite state space and common noise, where the common noise is given through shocks that occur at random times. We first anal…

math.PR2023★ 1 cited

Markovian randomized equilibria for general Markovian Dynkin games in discrete time

Sören Christensen, Kristoffer Lindensjö, Berenice Anne Neumann

We study a general formulation of the classical two-player Dynkin game in a discrete time Markovian setting. We identify an appropriate class of mixed strategies -- \textit{Markovi…

math.OC2023

Characterization of transport optimizers via graphs and applications to Stackelberg-Cournot-Nash equilibria

Beatrice Acciaio, Berenice Anne Neumann

We introduce graphs associated to transport problems between discrete marginals, that allow to characterize the set of all optimizers given one primal optimizer. In particular, we…

math.OC2020

Competition versus Cooperation: A class of solvable mean field impulse control problems

Sören Christensen, Berenice Anne Neumann, Tobias Sohr

We discuss a class of explicitly solvable mean field type control problems/mean field games with a clear economic interpretation. More precisely, we consider long term average impu…

math.OC2020★ 1 cited

A Myopic Adjustment Process for Mean Field Games with Finite State and Action Space

Berenice Anne Neumann

In this paper, we introduce a natural learning rule for mean field games with finite state and action space, the so-called myopic adjustment process. The main motivation for these…

math.PR2020

Nonlinear Markov Chains with Finite State Space: Invariant Distributions and Long-Term Behaviour

Berenice Anne Neumann

Nonlinear Markov chains with finite state space have been introduced in Kolokoltsov (2010). The characteristic property of these processes is that the transition probabilities do n…

math.OC2019★ 19 cited

Stationary Equilibria of Mean Field Games with Finite State and Action Space

Berenice Anne Neumann

Mean field games formalize dynamic games with a continuum of players and explicit interaction where the players can have heterogeneous states. As they additionally yield approximat…