78 citations · 133 across the 18 of their papers we have counts for
3 papers · 1 filter
On the Characterization of Local Nash Equilibria in Continuous Games
Lillian J. Ratliff, Samuel A. Burden, S. Shankar Sastry
We present a unified framework for characterizing local Nash equilibria in continuous games on either infinite-dimensional or finite-dimensional non-convex strategy spaces. We prov…
Approximation Algorithms for Optimization of Combinatorial Dynamical Systems
Insoon Yang, Samuel A. Burden, Ram Rajagopal +2
This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorith…
Event-Selected Vector Field Discontinuities Yield Piecewise-Differentiable Flows
Samuel A. Burden, S. Shankar Sastry, Daniel E. Koditschek +1
We study a class of discontinuous vector fields brought to our attention by multi-legged animal locomotion. Such vector fields arise not only in biomechanics, but also in robotics,…