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math.OC2026
A Robust Perceptron Cycling Theorem and Applications
Tobias Harks
The classical perceptron cycling theorem of Block and Levin \cite{BlockLevin1970} bounds correction sequences whose selected updates come from a finite set and have nonpositive inn…
math.OC2026
Monotonicity, Uniqueness and Frank--Wolfe Dynamics in Atomic Splittable Congestion Games
Tobias Harks
We study atomic splittable congestion games with players and nondecreasing resource costs with convex . We characterize the largest resource cost…
cs.GT2026
When do Mixed-Integer Games Admit Rational Equilibria?
Aloïs Duguet, Tobias Harks, Martin Schmidt +1
We consider mixed-integer linear-quadratic generalized Nash equilibrium problems, i.e., games in which each player solves a mixed-integer program subject to linear constraints in h…