5 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…
Incentive Designs for Learning Agents to Stabilize Coupled Exogenous Systems
Jair Certório, Nuno C. Martins, Richard J. La +1
We consider a large population of learning agents noncooperatively selecting strategies from a common set, influencing the dynamics of an exogenous system (ES) we seek to stabilize…
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…
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…