Stationary discounted and ergodic mean field games with singular controls

H Cao, J Dianetti, G Ferrari - Mathematics of Operations …, 2023 - pubsonline.informs.org
We study stationary mean field games with singular controls in which the representative
player interacts with a long-time weighted average of the population through a discounted …

Stochastic Games for Fuel Follower Problem: versus Mean Field Game

X Guo, R Xu - SIAM Journal on Control and Optimization, 2019 - SIAM
In this paper we formulate and analyze an N-player stochastic game of the classical fuel
follower problem and its mean field game (MFG) counterpart. For the N-player game, we …

Stochastic nonzero-sum games: a new connection between singular control and optimal stopping

T De Angelis, G Ferrari - Advances in Applied Probability, 2018 - cambridge.org
In this paper we establish a new connection between a class of two-player nonzero-sum
games of optimal stopping and certain two-player nonzero-sum games of singular control …

Investment in the common good: free rider effect and the stability of mixed strategy equilibria

Y Kim, HD Kwon - Operations Research, 2024 - pubsonline.informs.org
In the game of investment in the common good, the free rider problem can delay the
stakeholders' actions in the form of a mixed strategy equilibrium. However, it has been …

Nonzero-sum submodular monotone-follower games: existence and approximation of Nash equilibria

J Dianetti, G Ferrari - SIAM Journal on Control and Optimization, 2020 - SIAM
We consider a class of N-player stochastic games of multidimensional singular control, in
which each player faces a minimization problem of monotone-follower type with submodular …

Capacity choice under uncertainty in a duopoly with endogenous exit

MN Lavrutich - European Journal of Operational Research, 2017 - Elsevier
Applying the real options framework, this article investigates the investment decision of the
entrant given that an incumbent is already active. Both firms have an option to exit this …

A Stochastic Non-Zero-Sum Game of Controlling the Debt-to-GDP Ratio

F Dammann, N Rodosthenous, S Villeneuve - arXiv preprint arXiv …, 2023 - arxiv.org
We introduce a non-zero-sum game between a government and a legislative body to study
the optimal level of debt. Each player, with different time preferences, can intervene on the …

Game of variable contributions to the common good under uncertainty

HD Kwon - Operations Research, 2022 - pubsonline.informs.org
We consider a stochastic game of contribution to the common good in which the players
have continuous control over the degree of contribution, and we examine the gradualism …

Interbank lending with benchmark rates: Pareto optima for a class of singular control games

R Cont, X Guo, R Xu - Mathematical Finance, 2021 - Wiley Online Library
We analyze a class of stochastic differential games of singular control, motivated by the
study of a dynamic model of interbank lending with benchmark rates. We describe Pareto …

The de Finetti problem with uncertain competition

E Ekström, A Milazzo, M Olofsson - SIAM Journal on Control and Optimization, 2023 - SIAM
We consider a resource extraction problem which extends the classical de Finetti problem
for a Wiener process to include the case when a competitor, who is equipped with the ability …