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 …
player interacts with a long-time weighted average of the population through a discounted …
Stochastic Games for Fuel Follower Problem: versus Mean Field Game
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 …
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 …
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
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 …
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 …
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 …
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 …
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 …
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
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 …
study of a dynamic model of interbank lending with benchmark rates. We describe Pareto …
The de Finetti problem with uncertain competition
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 …
for a Wiener process to include the case when a competitor, who is equipped with the ability …