5 papers
On Linear Quadratic Potential Games
Sara Hosseinirad, Giulio Salizzoni, Alireza Alian Porzani +1
Our paper addresses characterizing conditions for a linear quadratic (LQ) game to be a potential game. The desired properties of potential games in finite action settings, such as…
Bridging Finite and Infinite-Horizon Nash Equilibria in Linear Quadratic Games
Giulio Salizzoni, Sophie Hall, Maryam Kamgarpour
Finite-horizon linear quadratic (LQ) games admit a unique Nash equilibrium, while infinite-horizon settings may have multiple. We clarify the relationship between these two cases b…
Chance-constrained Linear Quadratic Gaussian Games for Multi-robot Interaction under Uncertainty
Kai Ren, Giulio Salizzoni, Mustafa Emre Gürsoy +1
We address safe multi-robot interaction under uncertainty. In particular, we formulate a chance-constrained linear quadratic Gaussian game with coupling constraints and system unce…
Nash equilibria in scalar discrete-time linear quadratic games
Giulio Salizzoni, Reda Ouhamma, Maryam Kamgarpour
An open problem in linear quadratic (LQ) games has been characterizing the Nash equilibria. This problem has renewed relevance given the surge of work on understanding the converge…
A Policy Iteration Algorithm for N-player General-Sum Linear Quadratic Dynamic Games
Yuxiang Guan, Giulio Salizzoni, Maryam Kamgarpour +1
We present a policy iteration algorithm for the infinite-horizon N-player general-sum deterministic linear quadratic dynamic games and compare it to policy gradient methods. We dem…