4 papers
Hierarchical Decision-Making in Population Games
Yu-Wen Chen, Nuno C. Martins, Murat Arcak
This paper introduces a hierarchical framework for population games, where individuals delegate decision-making to proxies that act within their own strategic interests. This frame…
Set Invariance with Probability One for Controlled Diffusion: Score-based Approach
Wenqing Wang, Alexis M. H. Teter, Murat Arcak +1
Given a controlled diffusion and a connected, bounded, Lipschitz set, when is it possible to guarantee controlled set invariance with probability one? In this work, we answer this…
Evolutionary Games on Infinite Strategy Sets: Convergence to Nash Equilibria via Dissipativity
Brendon G. Anderson, Jingqi Li, Somayeh Sojoudi +1
We consider evolutionary dynamics for population games in which players have a continuum of strategies at their disposal. Models in this setting amount to infinite-dimensional diff…
Symmetry-based Abstraction Algorithm for Accelerating Symbolic Control Synthesis
Hussein Sibai, Sacha Huriot, Tyler Martin +1
We propose an efficient symbolic control synthesis algorithm for equivariant continuous-time dynamical systems to satisfy reach-avoid specifications. The algorithm exploits dynamic…