Existence of open-loop equilibria in differential games with impulsive effects suffered by logic choice

Y Xue, J Sun, Y Zhang - Systems & Control Letters, 2024 - Elsevier
This paper proposes a novel class of differential games where one player adopts piecewise
constant strategies and the other implements impulse suffered by logic choice. To the best of …

Nash equilibria in nonzero-sum differential games with impulse control

U Sadana, PV Reddy, G Zaccour - European Journal of Operational …, 2021 - Elsevier
In this paper, we introduce a class of deterministic finite-horizon two-player nonzero-sum
differential games where one player uses ordinary controls while the other player uses …

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 …

The impact of pollution transmission networks in a transboundary pollution game

L Xue, X Wang - Journal of Cleaner Production, 2024 - Elsevier
To explore transboundary pollution games with network externalities, this study develops a
multi-region differential game which investigates the interaction and co-evolution of multiple …

From firm to global-level pollution control: The case of transboundary pollution

R Boucekkine, G Fabbri, S Federico, F Gozzi - European journal of …, 2021 - Elsevier
We study the joint determination of optimal investment and optimal depollution in a
spatiotemporal framework where pollution is transboundary. Pollution is controlled at a …

Sampled-data Nash equilibria in differential games with impulse controls

U Sadana, PV Reddy, T Başar, G Zaccour - Journal of Optimization Theory …, 2021 - Springer
We study a class of deterministic two-player nonzero-sum differential games where one
player uses piecewise-continuous controls to affect the continuously evolving state, while …

Nonzero-sum stochastic games and mean-field games with impulse controls

M Basei, H Cao, X Guo - Mathematics of Operations …, 2022 - pubsonline.informs.org
We consider a general class of nonzero-sum N-player stochastic games with impulse
controls, where players control the underlying dynamics with discrete interventions. We …

Optimal control for both forward and backward discrete-time systems

X Chen, Y Yuan, D Yuan, X Ge - Mathematics and Computers in Simulation, 2024 - Elsevier
Forward discrete-time systems use past information to update the current state, while
backward discrete-time systems use future information to update the current state. This study …

Nonzero-sum stochastic differential games between an impulse controller and a stopper

L Campi, D De Santis - Journal of Optimization Theory and Applications, 2020 - Springer
We study a two-player nonzero-sum stochastic differential game, where one player controls
the state variable via additive impulses, while the other player can stop the game at any …

Irreversible investment with fixed adjustment costs: a stochastic impulse control approach

S Federico, M Rosestolato, E Tacconi - Mathematics and Financial …, 2019 - Springer
We consider an optimal stochastic impulse control problem over an infinite time horizon
motivated by a model of irreversible investment choices with fixed adjustment costs. By …